Michael McDaniel

Raised in Muskegon Heights, Michigan, in the 1970's, I fell in love with geometry when I first taught math at Sts. Peter and Paul School on St. Thomas in the US Virgin Islands. Before going for my Ph.D., I taught in New Jersey at Mount Saint Mary Academy for five more magic years.

The George Washington University was a great place for graduate work. I was lucky to score a tenure-track job one year after graduation and I've been at Aquinas College ever since. Teaching college geometry rekindled my love for compass and straightedge. Exploring the non-Euclidean disk models quickly exceeded the chapters I could find in textbooks.

Now that people are buying and using Geometry by construction, here are the typo-graphical errors. The hassles are in the figures. Page 59, the unlabeled point is point B. Page 60, the ray OB in the first paragraph is meant to be the ray OE. Page 79, not triangle ABC but EDB in circle F is the triply asymptotic one. Page 81, the top right hexagon has a little circle whose diameter is OC and F is the marked intersection of the two circles. Page 100 does not have the point Y and Y' drawn nor marked; undrawn Euclidean line OB contains them both. If you continue the circle through AB just a bit on the left, the Euclidean line OB will hit at Y'. Page 116, center point O is unmarked because the drawing was so crowded. Page 125 problem 32 should have OB equal to alpha.

Universal Publishers and I have a PDF of fully detailed solutions for all problems in Geometry by construction. Available to professors on request.

The new book, Navigating curved spaces, clarifies the magic we find in the two non-Euclidean disk models. The new ideas have been refereed in publications from the past five years, so all the math is correct. Thirty Questions have their Answers in the next page, giving professors new problems to use in class. Even better, the book details how to make up new questions suitable for classroom use or summer research. Navigating curved spaces stands on its own and also plays nice with Geometry by construction.