Surface Turtle

This is an implementation of a turtle walking around on a NURBS surface. If the turtle is going straight in small steps, the resulting path is close to a geodesic.

SurfaceTurtle.zip

In general relativity, the straight path in curved spacetime is a geodesic

Local Curvature

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

CurvatureTurtle.zip

The relation between local curvature and the curve shape,

taken from S. Wolframs book, p. 418

Turtle Graphics

This VB.Net module calculates a turtle path

Read an introduction to Turtle Geometry here

Turtle.zip

An analog turtle build by Grey Walter in the fifties