Regular hexagons and equilateral triangles can form a tiling of the plane that has at every vertex:
A) three hexagons and one triangle.
B) two hexagons and two triangles.
C) two hexagons and three triangles.
D) one hexagon and five triangles.

Question

Quizplus · Accepted Answer

Each vertex is shared by two hexagons and two triangles in the tiling of the plane with regular hexagons and equilateral triangles. This can be easily verified by drawing the tiling pattern and counting the number of sides meeting at each vertex. Therefore, the correct answer is option B, i.e., two hexagons and two triangles.

Regular Hexagons and Equilateral Triangles Can Form a Tiling of the Plane