Do people know this book, "The Penguin Dictionary of Curious and Interesting Geometry" by David Wells (1992)? I just chanced on it on my shelf of Long Lost Books, and find that it bears many repeated browsings. It has a number of old chestnuts, but also a huge number of geometric tidbits (and a few topological ones) that I hadn't seen before or knew very little about. It's written engagingly and pretty clearly, and has excellent B&W graphics to accompany each little squib. For example, the 6 circles theorem: Given a triangle in the plane, draw a circle tangent to just a pair of its sides. Now pick a different pair of sides, and draw the unique circle tangent to those sides and the first circle. Now there will always be a unique new circle if you keep choosing the pair of sides not used for the last 2 circles and repeat this operation. Theorem: After six circles are drawn this way, the seventh is the first, the eighth is the second, etc. (David Wells also wrote the "Penguin Dictionary of Curious and Interesting Numbers", which I've heard is also good.) Dan