Tessellations By Mr. Belanger Define Isometry A reflection or composite of reflections. What’s a...

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.