This is a regular mosaic:

This regular mosaic is a pattern made up of equilateral triangles. The pattern could continue in all directions. We are showing only a portion of it.

A regular mosaic is a pattern made up by repeating the same regular polygon over and over, with no spaces in between, and no overlap of the shpaes. A regular polygon is defined as one in which all the sides are equal and the angles formed by adjacent sides are all equal. For an equilateral triangle, the three sides are all the same length and the three internal angles are each 60^o.

Another regular polygon is an octagon, with 8 equal sides.

How many other regular mosaics can you find? To qualify as a regular mosaic your pattern has to

• be made up by repeating only a single regular polygon.
• have no spaces between the polygons.
• have no overlapping polygons.
• use polygons that are all the same size as well as the same shape

When you have arrived at your answer, can you explain why you must be right?

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