Problem

We have seen that regular pentagons will not form a tiling. However, some irregular, con...

We have seen that regular pentagons will not form a tiling. However, some irregular, convex pentagons will form a tiling. Currently, 14 general kinds of irregular, convex pentagons are known to tile the plane. Students, a physicist, and a homemaker discovered these tilings. Research tilings that involve irregular pentagons by using search keywords “pentagon tiling” on the Internet. List the angle and side length requirements for at least five of the pentagons that will form tilings and provide sketches of the tilings.

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