Question 20.64

34. The pentagon below is a pentagonal tile of type 13, which was discovered by Marjorie Rice. Show how it can tile the plane. (Hint: Carefully trace and cut out a dozen or so copies and try fitting them together.)

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The parts of this pentagon satisfy the following relations:

[Adapted from Doris Schattschneider, “In Praise of Amateurs,” in David A. Klarner (ed.), The Mathematical Gardner, Wadsworth, Belmont, CA, 1981, p. 162.]