div class=ts-pagebuttonPage 1button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page1jpg target=_blank amp-img class=ts-thumb alt=Page 1: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails1jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 2button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page2jpg target=_blank amp-img class=ts-thumb alt=Page 2: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails2jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 3button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page3jpg target=_blank amp-img class=ts-thumb alt=Page 3: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails3jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 4button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page4jpg target=_blank amp-img class=ts-thumb alt=Page 4: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails4jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 5button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page5jpg target=_blank amp-img class=ts-thumb alt=Page 5: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails5jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 6button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page6jpg target=_blank amp-img class=ts-thumb alt=Page 6: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails6jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 7button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page7jpg target=_blank amp-img class=ts-thumb alt=Page 7: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails7jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 8button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page8jpg target=_blank amp-img class=ts-thumb alt=Page 8: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails8jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 9button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page9jpg target=_blank amp-img class=ts-thumb alt=Page 9: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails9jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 10button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page10jpg target=_blank amp-img class=ts-thumb alt=Page 10: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails10jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 11button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page11jpg target=_blank amp-img class=ts-thumb alt=Page 11: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails11jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 12button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page12jpg target=_blank amp-img class=ts-thumb alt=Page 12: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails12jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 13button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page13jpg target=_blank amp-img class=ts-thumb alt=Page 13: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails13jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 14button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page14jpg target=_blank amp-img class=ts-thumb alt=Page 14: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails14jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 15button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page15jpg target=_blank amp-img class=ts-thumb alt=Page 15: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails15jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 16button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page16jpg target=_blank amp-img class=ts-thumb alt=Page 16: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails16jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 17button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page17jpg target=_blank amp-img class=ts-thumb alt=Page 17: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails17jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 18button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page18jpg target=_blank amp-img class=ts-thumb alt=Page 18: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails18jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 19button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page19jpg target=_blank amp-img class=ts-thumb alt=Page 19: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails19jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 20button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page20jpg target=_blank amp-img class=ts-thumb alt=Page 20: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails20jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 21button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page21jpg target=_blank amp-img class=ts-thumb alt=Page 21: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails21jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 22button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page22jpg target=_blank amp-img class=ts-thumb alt=Page 22: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails22jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 23button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page23jpg target=_blank amp-img class=ts-thumb alt=Page 23: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails23jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 24button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page24jpg target=_blank amp-img class=ts-thumb alt=Page 24: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails24jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 25button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page25jpg target=_blank amp-img class=ts-thumb alt=Page 25: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails25jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 26button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page26jpg target=_blank amp-img class=ts-thumb alt=Page 26: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails26jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 27button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page27jpg target=_blank amp-img class=ts-thumb alt=Page 27: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails27jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 28button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page28jpg target=_blank amp-img class=ts-thumb alt=Page 28: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails28jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 29button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page29jpg target=_blank amp-img class=ts-thumb alt=Page 29: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails29jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 30button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page30jpg target=_blank amp-img class=ts-thumb alt=Page 30: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails30jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 31button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page31jpg target=_blank amp-img class=ts-thumb alt=Page 31: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails31jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 32button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page32jpg target=_blank amp-img class=ts-thumb alt=Page 32: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails32jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 33button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page33jpg target=_blank amp-img class=ts-thumb alt=Page 33: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails33jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 34button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page34jpg target=_blank amp-img class=ts-thumb alt=Page 34: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails34jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 35button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page35jpg target=_blank amp-img class=ts-thumb alt=Page 35: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails35jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 36button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page36jpg target=_blank amp-img class=ts-thumb alt=Page 36: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails36jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 37button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page37jpg target=_blank amp-img class=ts-thumb alt=Page 37: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails37jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 38button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page38jpg target=_blank amp-img class=ts-thumb alt=Page 38: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails38jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 39button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page39jpg target=_blank amp-img class=ts-thumb alt=Page 39: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails39jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 40button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page40jpg target=_blank amp-img class=ts-thumb alt=Page 40: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails40jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 41button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page41jpg target=_blank amp-img class=ts-thumb alt=Page 41: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails41jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 42button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page42jpg target=_blank amp-img class=ts-thumb alt=Page 42: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails42jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 43button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page43jpg target=_blank amp-img class=ts-thumb alt=Page 43: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails43jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 44button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page44jpg target=_blank amp-img class=ts-thumb alt=Page 44: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails44jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 45button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page45jpg target=_blank amp-img class=ts-thumb alt=Page 45: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails45jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 46button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page46jpg target=_blank amp-img class=ts-thumb alt=Page 46: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails46jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 47button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page47jpg target=_blank amp-img class=ts-thumb alt=Page 47: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails47jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 48button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page48jpg target=_blank amp-img class=ts-thumb alt=Page 48: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails48jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 49button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page49jpg target=_blank amp-img class=ts-thumb alt=Page 49: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails49jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 50button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page50jpg target=_blank amp-img class=ts-thumb alt=Page 50: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails50jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 51button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page51jpg target=_blank amp-img class=ts-thumb alt=Page 51: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails51jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 52button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page52jpg target=_blank amp-img class=ts-thumb alt=Page 52: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails52jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 53button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page53jpg target=_blank amp-img class=ts-thumb alt=Page 53: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails53jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 54button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page54jpg target=_blank amp-img class=ts-thumb alt=Page 54: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails54jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 55button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page55jpg target=_blank amp-img class=ts-thumb alt=Page 55: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails55jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 56button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page56jpg target=_blank amp-img class=ts-thumb alt=Page 56: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails56jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 57button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page57jpg target=_blank amp-img class=ts-thumb alt=Page 57: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails57jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 58button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page58jpg target=_blank amp-img class=ts-thumb alt=Page 58: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails58jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 59button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page59jpg target=_blank amp-img class=ts-thumb alt=Page 59: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails59jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 60button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page60jpg target=_blank amp-img class=ts-thumb alt=Page 60: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails60jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 61button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page61jpg target=_blank amp-img class=ts-thumb alt=Page 61: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails61jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 62button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page62jpg target=_blank amp-img class=ts-thumb alt=Page 62: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails62jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 63button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page63jpg target=_blank amp-img class=ts-thumb alt=Page 63: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails63jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 64button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page64jpg target=_blank amp-img class=ts-thumb alt=Page 64: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails64jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 65button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page65jpg target=_blank amp-img class=ts-thumb alt=Page 65: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails65jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 66button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page66jpg target=_blank amp-img class=ts-thumb alt=Page 66: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails66jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 67button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page67jpg target=_blank amp-img class=ts-thumb alt=Page 67: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails67jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 68button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page68jpg target=_blank amp-img class=ts-thumb alt=Page 68: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails68jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 69button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page69jpg target=_blank amp-img class=ts-thumb alt=Page 69: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails69jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 70button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page70jpg target=_blank amp-img class=ts-thumb alt=Page 70: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails70jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 71button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page71jpg target=_blank amp-img class=ts-thumb alt=Page 71: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails71jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 72button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page72jpg target=_blank amp-img class=ts-thumb alt=Page 72: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails72jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 73button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page73jpg target=_blank amp-img class=ts-thumb alt=Page 73: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails73jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 74button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page74jpg target=_blank amp-img class=ts-thumb alt=Page 74: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails74jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 75button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page75jpg target=_blank amp-img class=ts-thumb alt=Page 75: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails75jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 76button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page76jpg target=_blank amp-img class=ts-thumb alt=Page 76: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails76jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 77button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page77jpg target=_blank amp-img class=ts-thumb alt=Page 77: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails77jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 78button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page78jpg target=_blank amp-img class=ts-thumb alt=Page 78: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails78jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 79button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page79jpg target=_blank amp-img class=ts-thumb alt=Page 79: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails79jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 80button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page80jpg target=_blank amp-img class=ts-thumb alt=Page 80: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails80jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 81button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page81jpg target=_blank amp-img class=ts-thumb alt=Page 81: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails81jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 82button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page82jpg target=_blank amp-img class=ts-thumb alt=Page 82: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails82jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 83button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page83jpg target=_blank amp-img class=ts-thumb alt=Page 83: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails83jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 84button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page84jpg target=_blank amp-img class=ts-thumb alt=Page 84: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails84jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 85button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page85jpg target=_blank amp-img class=ts-thumb alt=Page 85: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails85jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 86button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page86jpg target=_blank amp-img class=ts-thumb alt=Page 86: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails86jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 87button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page87jpg target=_blank amp-img class=ts-thumb alt=Page 87: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails87jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 88button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page88jpg target=_blank amp-img class=ts-thumb alt=Page 88: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails88jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 89button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page89jpg target=_blank amp-img class=ts-thumb alt=Page 89: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails89jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 90button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page90jpg target=_blank amp-img class=ts-thumb alt=Page 90: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails90jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 91button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page91jpg target=_blank amp-img class=ts-thumb alt=Page 91: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails91jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 92button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page92jpg target=_blank amp-img class=ts-thumb alt=Page 92: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails92jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 93button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page93jpg target=_blank amp-img class=ts-thumb alt=Page 93: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails93jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 94button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page94jpg target=_blank amp-img class=ts-thumb alt=Page 94: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails94jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 95button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page95jpg target=_blank amp-img class=ts-thumb alt=Page 95: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails95jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 96button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page96jpg target=_blank amp-img class=ts-thumb alt=Page 96: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails96jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 97button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page97jpg target=_blank amp-img class=ts-thumb alt=Page 97: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails97jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 98button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page98jpg target=_blank amp-img class=ts-thumb alt=Page 98: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails98jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 99button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page99jpg target=_blank amp-img class=ts-thumb alt=Page 99: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails99jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 100button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page100jpg target=_blank amp-img class=ts-thumb alt=Page 100: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails100jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 101button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page101jpg target=_blank amp-img class=ts-thumb alt=Page 101: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails101jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 102button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page102jpg target=_blank amp-img class=ts-thumb alt=Page 102: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails102jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 103button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page103jpg target=_blank amp-img class=ts-thumb alt=Page 103: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails103jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 104button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page104jpg target=_blank amp-img class=ts-thumb alt=Page 104: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails104jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 105button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page105jpg target=_blank amp-img class=ts-thumb alt=Page 105: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails105jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 106button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page106jpg target=_blank amp-img class=ts-thumb alt=Page 106: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails106jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 107button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page107jpg target=_blank amp-img class=ts-thumb alt=Page 107: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails107jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 108button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page108jpg target=_blank amp-img class=ts-thumb alt=Page 108: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails108jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 109button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page109jpg target=_blank amp-img class=ts-thumb alt=Page 109: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails109jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 110button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page110jpg target=_blank amp-img class=ts-thumb alt=Page 110: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails110jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 111button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page111jpg target=_blank amp-img class=ts-thumb alt=Page 111: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails111jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 112button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page112jpg target=_blank amp-img class=ts-thumb alt=Page 112: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails112jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 113button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page113jpg target=_blank amp-img class=ts-thumb alt=Page 113: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails113jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 114button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page114jpg target=_blank amp-img class=ts-thumb alt=Page 114: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails114jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 115button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page115jpg target=_blank amp-img class=ts-thumb alt=Page 115: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails115jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 116button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page116jpg target=_blank amp-img class=ts-thumb alt=Page 116: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails116jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 117button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page117jpg target=_blank amp-img class=ts-thumb alt=Page 117: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails117jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 118button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page118jpg target=_blank amp-img class=ts-thumb alt=Page 118: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails118jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 119button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page119jpg target=_blank amp-img class=ts-thumb alt=Page 119: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails119jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 120button div class=ts-image a href=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5page120jpg target=_blank amp-img class=ts-thumb alt=Page 120: lecture4 - mathucdavisedu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope Hence Theorem: For src=https:reader043vdocumentsusreader043viewer20220403065ecab60b5238d1183e2911c7html5thumbnails120jpg width=142 height=106 layout=responsive amp-imga divdiv