Draw a straight line, and then continue it for the same length but deflected by an angle. If you continue doing this you will eventually return to roughly where you started, having drawn out an approximation to a circle. But what happens if you increase the angle of deflection by a fixed amount at each step? The curve will spiral in on itself as the deflection increases, and then spiral out when the deflection exceeds a half-turn. These spiral flourishes are called Euler spirals. [code]
Math Munch had a cool post today that included a favorite topic of mine - Parquet Deformations. I was trying to work one out in GeoGebra (right around the limit of my GGB skills). Not what I want yet, but still some interesting transformation effects. On GGBTube if you want to play.
Yes, Sir! Very cool. LEGO lesson, focusing on nets of complex structures.
GeoGebra Cube Animation.Inspired by this sweet little video from Stuart Jeckel. On GeoGebraTube, too. Not much interesting GGB to it, though, other than the tool to draw the isometric view of the cube.
There was a post about someone new to me on Gizmodo yesterday. Ron Resch was an “applied geometrist” who made fascinating moving geometric pieces by computer and by hand. (Wikipedia) One of the gifs in the article was something like this…
This sketch is designed for free play, and is on GGBTube. Have fun!
See also the Circle Polygon Catcher.
Inspired by my preservice teachers’ Family Math Night activity, they are helping students make dreamcatcher-like art pieces using precut cardstock, yarn and patterns. Here it is on GeoGebraTube.
"Simple iteration appears to liberate the complexity hidden within it, thus giving access to creative potential."
IBM Fellow Emeritus
Inspired by my preservice teachers’ Family Math Night activity, they are helping students make dreamcatcher-like art pieces using precut cardstock, yarn and patterns.
One GeoGebraTube: http://www.geogebratube.org/material/show/id/57320
Other polystar sketches: Islamic Stars, Stars