tessellations by mr. belanger define isometry a reflection or composite of reflections. what’s a...
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TessellationsTessellations
By Mr. Belanger
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Define IsometryDefine Isometry
A reflection or composite of reflections.
What’s a Glide What’s a Glide Reflection?Reflection?
A reflection followed by a translation (slide) using a vector or vise versa (slide then reflect)
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Example of Glide Example of Glide ReflectionReflection
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Flow Chart of Flow Chart of TransformationsTransformations
R e flec tion
G lid e R e fle c tion
T ra n sla tion R o ta tion
C o m p o s ite o f 2 R e fle ctio ns
Iso m e try
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What is a Tessellation?What is a Tessellation?
The term refers to pictures or tiles, mostly in the form of
animals and other life forms, which cover the surface of a plane in a symmetrical way
without overlapping or leaving gaps.
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How does this relate to How does this relate to Geometry???Geometry???
Tessellations are formed using various transformations and composites.• Rotations•Reflections•Translations•Combinations (Glide-Reflection)
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Example (Translation or Example (Translation or Slide)Slide)
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Example (Rotation)Example (Rotation)
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Examples (All Possibilities)Examples (All Possibilities)
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What Type of Isometry???What Type of Isometry???
Glide Reflection
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What Type of Isometry???What Type of Isometry???
Rotation
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What Type of Isometry???What Type of Isometry???
Translation
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What Type of Isometry???What Type of Isometry???
Glide ReflectionDo you see
both shapes?
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Master of TessellationsMaster of Tessellations
• M.C. Escher• Regarded as the 'Father'
of modern tessellations. He is famous for his impossible depictions like the one on the right, but he was a master of line and wood cuts and produced many superbly crafted landscapes as well.