I found these on Facebook, and could find no evidence that I’d ever blogged them here — so here they are. The first one is based on the number nine, while the second is based on fifteen.
In addition to the central dodecagon, this mandala has two rings of squares, one of equilateral triangles, a ring of rhombi, another of regular hexagons, and, finally, a ring of equilateral decagons.
For three days this week and another three next week, during this round of standardized testing, my assigned task at work, for four to five hours each day, is to guard a locked door to the testing area. I’m not allowed to bring a computer, a cell phone, or even a book, so I brought a clipboard, with ample blank paper, and a handful of freshly-sharpened pencils. As a result, this mostly-mathematical blog will be detouring into drawings for a while. These were the first two.
I turn 54 years old today, so here is a 54-pointed star to mark the occasion. The nine repetitions of the six colors of the spectrum work because (6)(9) = 54.