Exam 20: Tilings

Penrose tilings are nonperiodic.

If 4.5.n is a possible vertex type for a vertex surrounded by regular polygons, what is n?

Which of the following form the faces of a regular polyhedron? I: six squares II: 10 pentagons

The exterior angle of a regular pentagon has a measure of:

Which of the following polygons can tile the plane? I: regular octagon II: nonrectangle parallelogram

What is a nonperiodic tiling?

Use the figure below to tile the plane, if possible.

Is 3.10.16 a possible vertex type for a vertex surrounded by regular polygons?

Most Penrose tilings require at least 10 differently shaped tiles.

Is 3.3.4.12 a possible vertex type for a vertex surrounded by regular polygons?

How many edge-to-edge tilings with regular polygons are possible when we allow different vertex types?

Escher No. 88 [Sea Horse], Figure 20.16 in the textbook, tiles by: