Thursday, 30 April 2009

Local Curvature

In this example, the turtle is connected with a graph, defining the local curvature of the resulting curve

















The relation between local curvature and the curve shape,
taken from S. Wolframs book, p. 418

Wednesday, 22 April 2009

Turtle Graphics

This VB.Net module calculates a turtle path
Read an introduction to Turtle Geometry here





An analog turtle build by Grey Walter in the fifties

Thursday, 2 April 2009

Beams on Surface

Beams around lines, aligned normal to surface
Height and width are adjustable

Compare Shigeru Ban's pavillon for the Rice Gallery

BeamsOnSurface.zip

Reciprocal grid, example from Cecil Balmond's book, p. 143

Thursday, 26 March 2009

Map Lines

Maps straight curves from the xy plane on a surface
The mapped lines change length, but remain straight

Tuesday, 10 March 2009

Moebius Strip

Moebius strip around curve
Number of twists is changeable

MoebiusStrip.zip

Tuesday, 3 March 2009

Harmonograph

A nice example from the
Science Museum



















Harmonogram generated with grasshopper
More about the harmonograph on Paul Bourke's page

Harmonograph.zip

Sunday, 1 March 2009