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TessellationsTessellations
By Mr. Belanger
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)
Example of Glide Example of Glide ReflectionReflection
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
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.
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)
Example (Translation or Example (Translation or Slide)Slide)
Example (Rotation)Example (Rotation)
Examples (All Possibilities)Examples (All Possibilities)
What Type of Isometry???What Type of Isometry???
Glide Reflection
What Type of Isometry???What Type of Isometry???
Rotation
What Type of Isometry???What Type of Isometry???
Translation
What Type of Isometry???What Type of Isometry???
Glide ReflectionDo you see
both shapes?
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.