Euler Spirals in the style of @matthen2.
[url]http://blog.matthen.com/post/67889183164/draw-a-straight-line-and-then-continue-it-for-the[/url]
There is a sketch with more freedom: [url]http://www.geogebratube.org/material/show/id/59746[/url]
This sketch has a slider to change the angle between the first two segments as well, good for exploring the varying effects of different angles of increase.
I started investigating a = 24, 12 and 72 degrees. Hmmm...
