Journey Into Geometries

One cannot say that Lewis Carroll would be pleased, since he helps with the narration of this account of some additional travels of his darling Alice. Many of the other original Wonderland characters also help Dr. What If and him explain and illustrate a wide variety of geometric problems. Although the author does an excellent job in presenting difficult concepts, this is not a textbook, Think of it as an excursion into the wonderland of advanced geometry. Experts will frolic, amateurs with grin and eventually understand and beginners will smile right up to the point (pun intended), where they get lost. Problems are given at the end of each chapter and detailed solutions appear in the back of the book. A partial list of the topics covered includes inversions, reflections, a hyperbolic T-party, hyperbolic geometry, and projections. Verse with a decidedly Carrollean flavor appears throughout the text. A joy to read and even better the second time through, it is a fitting sequel to the original adventures. Published in Journal of Recreational Mathematics, reprinted with permission.