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Q: How many semi-regular tessellations are there?

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There are eight different types of semiregular tessellations. Also called Archimedean tessellations, they occur when two or more convex regular polygons form tessellations of the plane in a way each polygon vertex is surrounded by the same polygons and in the same order.

An example of a dodecagon would be a semiregular tiling.There are many but some have dodecagons.

Tessellations of regular polygons can occur only when the external angle of a polygon is equal to a factor of 360. As such, the only tessellations of regular polygons can occur when the internal angles of a polygon are equal to a factor of 360. As such, the only regular polygons which tessellate are triangles, squares, and hexagons.

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There are eight different types of semiregular tessellations. Also called Archimedean tessellations, they occur when two or more convex regular polygons form tessellations of the plane in a way each polygon vertex is surrounded by the same polygons and in the same order.

By the use of wording "uniform" you are in fact stating that the tesselations are "regular"

A dot in a problem can mean multiply. For example: 7.8=56 It also can mean the arrangement of angles about each vertex point. (Look up semiregular tessellations) It is typed like this: 3.3.4.3.4

must all edges of semiregular polyhedron be the same length

24 (apperently)

77

Its trigonometry. Tessellations are shapes.

Johannes Kepler discovered and studied tessellations.

Tessellations.

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