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Tessellation Training

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       What's a tessellation?

About the logo.

Begin with the following figure:

All 5 sides have the same length.

360 degrees divides evenly by 5 (yielding 72 degrees) and by 10 (yielding 36 degrees). Most polygons that involve pentagonal symmetry use angles that are multiples of 36 degrees.

The interior angles along the left vertical side are 108 degrees (3 times 36 degrees). The interior angles on the top and bottom of the right side are 36 degrees. The exterior angle at the center of the right side is also 108 degrees, which means it matches the interior angles along the left vertical side.

This shape will tessellate the plane.

Make a copy of this shape. Rotate it 36 degrees clockwise.

Slide the copy so that the two shapes connect.

This shape will tessellate the plane.

Make a copy of this shape. Reflect it down, across a horizontal line.

Slide the copy so that the two shapes connect.

This shape will tessellate the plane.

Make a copy of this shape. Rotate it 180 degrees.

Slide the copy so that the two shapes connect.

This shape will tessellate the plane.