Which of the following is NOT possible for a number of sides of a regular polygon in a semiregular tiling?
A) 6
B) 7
C) 8
D) 10

Question

Quizplus · Accepted Answer

In a semiregular tiling, all polygons that meet at a vertex must have the same interior angle. The only regular polygon that can meet with other polygons at a vertex and not create gaps or overlaps in the tiling is a hexagon. Therefore, the only possible choices for the number of sides of a regular polygon in a semiregular tiling are 3, 4, and 6 (triangle, square, and hexagon). Choice B, 7, cannot be a regular polygon in a semiregular tiling.

Which of the Following Is NOT Possible for a Number