mathematics

Math Monday: Business Cards II

Math Monday: Business Cards II

Imagine a regular tetrahedron. Mark the midpoint of one edge and draw straight lines to the vertices opposite that edge on the two faces incident to that edge. In your mental image, transmogrify that edge and those two lines into zippers and unzip them. What do you get? Believe it or not, a standard American-size business card.

Math Monday: Even Greater Circle

Math Monday: Even Greater Circle

For the Museum of Mathematics I have been remiss. I wrote an entire column on arrangements of great circles without once mentioning Buckminster Fuller. His original designs for domes involved bracing them solely with arcs of great circles. Since, on the surface of a sphere a great circle is the shortest path, or geodesic, between […]