I’m having a blasty-bast with Group Explorer today. How have I never played with this before!?
Complex analysis – the perfect subject for combining visual and analytic thinking. I just read “Visual Complex Analysis” by Tristan Needham, a basic book on complex analysis: lots of historical references, uncompromising explanations, lots of problem solving and plenty of beautiful illustrations!
I have this book. It is very good.
I can’t be the only one. Right?
This one is based on the hirschhorn tiling.
This is still one of my favorite tilings. In the center you can see a regular 18-gon that is divided into 18 pentagons. The shape of the pentagons are the same, only the color changes.
Had this video suggested to me by http://pebblinator.tumblr.com/ and it is really cool if you’re like me and have no previous understanding of 4D!
Each color is a sine function. The height is constant because sin(t+0*2*pi/5
sin(t+1*2*pi/5)+sin(t+2*2*pi/5)+sin(t+3*2*pi/5)+sin(t+4*2*pi/5)=0 for all t value.
In a column the i-th segment have length
sin(t+i*2*pi/5)+1, so the height is always 5.