a geometrical introduction to origami · three kinds of origami: tessellations “a tessellation of...
TRANSCRIPT
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A geometrical introduction to Origami
Mateo Díaz
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Origami“The art or process, originating in Japan, of folding paper into shapes.”
Ori = FoldGami = paper
Math ArtOrigami
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Some designs from another era...
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Some more...
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I didn’t have too much to do
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Agenda
➔ The basics about origami ➔ Three kinds of origami ➔ Origami design 101➔ The fun part: folding a crane
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The basics of origami: mountains and valleys
Mountain
Valley
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The basics of origami: how do we communicate? Diagrams Crease Patterns
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The process
FoldingArtistic details
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Three kinds of origami: Tessellations“A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.”
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Three kinds of origami: Tessellations
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Tessellations: Crease patternsVery repetitive, we don’t really care about the orientation of the pattern.
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Tessellations: Crease patternsVery repetitive, we don’t really care about the orientation of the pattern.
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Three kinds of origami: Modulars“Modular origami is a technique which uses two or more sheets of paper to create a larger and more complex structure.”
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Three kinds of origami: Modulars
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Three kinds of origami: Modulars
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Three kinds of origami: Figurative “Figurative origami is a technique which uses only one sheet of paper to create figures (animals, persons, ...)”
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Three kinds of origami: Figurative
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Figures: Crease patternsIn this case, we do care about the orientation of the pattern and where is each “piece” of the figure.
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Origami design 101
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Origami design 101: tree theory
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After the tree: circle packing
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After the tree: circle packing
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After the tree: circle packing
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After the tree: circle packing
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After the tree: circle packing (and rivers)
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After the tree: circle packing
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After the tree: circle packing
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After the tree: circle packing
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Model vs reality
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Another example
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If you’re interested this is a good book to start
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The fun part
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Nah, just kidding