Create tessellation designs by using rotations. You will...

Create tessellation designs by using rotations. You will need patty paper, tracing paper, or clear plastic, and grid paper or isometric dot paper.
Create a tessellating design of recognizable shapes by using a grid of equilateral or isosceles triangles. Decorate and color your art.

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Key Concepts

Grid Structures

Using a grid structure, such as one based on triangles, provides an underlying framework that supports the precise placement and alignment of shapes. This systematic approach aids in the design of tessellating patterns by ensuring that each transformed shape fits with the others to cover the entire plane.

Geometric Transformations

Geometric transformations, including rotations, translations, and reflections, are operations that modify the position or orientation of shapes. These techniques are essential in generating consistent, repeating patterns and ensuring that tessellations form correctly without any gaps.

Rotation

Rotation refers to turning a shape around a fixed point, known as the center of rotation. In the context of tessellations, rotation is used to align shapes properly so that they interlock perfectly, allowing for the creation of seamless and appealing patterns.

Tessellation

Tessellation is the process of covering a plane with a pattern of shapes in such a way that there are no gaps or overlaps. This concept is fundamental in both mathematics and art, as it involves repeating geometric figures to create continuous and often symmetrical designs.

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