A Twist in Time; Honorable Mention (January 2002)
Bathsheba Grossman, Dan Schwalbe, Stan Wagon, John Bruning.
While one snowflake can’t be twisted, a billion of them can. Our smoothly turning construction is a tour through the three dimensions we inhabit: the curves widen, twist, and branch to form an intricate surface. How many independent edges can you find?
Matthias Weber (Indiana University) worked out the topology of the 2-dimensional surface represented by the sculpture: it is nonorientable, and is a Klein bottle with one handle added and two disks removed. Its genus is 1. The genus of the 3-dimensional orientable closed surface is 5.