Refer to the following information in doing Exercises 19–22. A particularly simple kind of polygon, called a polyomino, is made of squares joined edge-to-edge. The name is a generalization of “domino”; indeed, there is only one kind of domino (two squares joined at an edge to form a rectangle). There are just two trominos (short for “triominos”), the straight tromino and the L-tromino. The straight tromino has the shape of a rectangle, so it can tile the plane by translations; the L-tromino has the shape of a hexagon.

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Question 20.49

19. Is the L-tromino convex? Does the result about which hexagons can tile the plane (on page 834) give any information about whether the L-tromino can tile the plane or not?

19.

No; no