Pythagoras Tessellation Project

All About Tessellations

What is a tessellation?

A tessellation is created when a shape is repeated over and over again, showing nothing on the page but the shape, except the shapes must not overlap.

Dictionary's meaning:

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. In mathematics, tessellations can be generalized to higher dimensions. A periodic tiling has a repeat pattern.

The properties of a tessellation.

The properties of tessellations are:

1. The shapes don't over lap

2. It fits together

3. Each of the vertex's have the same pattern

4. It doesn't have any gaps.

Glide Reflection Tessellation

In glide reflection, reflection and translation are used concurrently much like the following piece by Escher, Horseman. There is no reflectional symmetry, nor is there rotational symmetry.

Escher's Tesselations

Escher's Tessellations are all either very detailed or very thought about, you can tell Escher was a great artist just be looking at his work.
Many people have tried to re-create his work because how good it looks, Escher mostly uses black and white in his tessellations to add more of an effect except, if Escher does use colour in his tessellations the tessellation will turn out very colourful.