June 25, 2013

Pentagons and Game Balls

The game of sepak takraw, a popular form of kick volleyball in Southeast Asia, uses a woven ball that, in its simplest form, has 12 pentagonal holes and shows a weaving pattern with 20 intersections. The twelve pentagons remind me of a regular dodecahedron, one of the Platonic solids.

Traditionally made from rattan, such a ball may be constructed from six long strips (instructions), with five strips defining the pentagonal holes and a sixth strip forming a closed loop that wraps around twice (video).


This ornamental model, with woven strands intersecting to form pentagons atop a glass sphere, shows the basic geometry underlying a woven sepak takraw ball.

More complicated weavings produce triangular patterns on the ball's surface (below).


The two examples shown above are part of a display of artistically crafted woven spheres in the lobby lounge of the AT&T Executive Education and Conference Center at the University of Texas at Austin. I couldn't help but be reminded of sepak takraw balls when I first saw the display.


Unfortunately, I couldn't find any information about these intriguing models, and would love to know more about them.

Photos by I. Peterson