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Why aren't there infinitely many semi-regular tessellations?

Sagot :

Regular tessellations use identical regular polygons to fill the plane. The polygons must line up vertex to vertex, edge to edge, leaving no gaps.

Semi-regular tessellations have two properties:

• They are formed by two or more types of regular polygon, each with the same side length

,

• Each vertex has the same pattern of polygons around it.

There are 8 semi-regular tessellations in total. We know each is correct because again, the internal angle of these shapes add up to 360.

For example, for triangles and squares, 60 × 3 + 90 × 2 = 360.

(credited)

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