On May 30, 2007, at 12:04 , subbukk wrote:
On Wednesday 30 May 2007 1:54 pm, Bert Freudenberg wrote:
Using "forward by, turn by" you can draw a circle of known circumference, similar to how kids can measure the circumference of a large circle in the sand by counting footsteps. Measuring the diameter is easy - take the ratio and you're done. So "turn by 120" three times makes your "three stick" version. You can go up to 360 sticks by using 1 degree turns ...
I ruled this out because the 'turn' method uses Pi. To discover Pi, we cannot use Pi. That would be a circular argument.
Not quite. If you would do this with an actual turtle robot, you certainly would accept the approach, wouldn't you? Why would you dismiss the simulation of that robot?
- Bert -