- curve curvature
All these curves are drawn using a single procedure 'Cycloid". Each curve uses a different multiplying factor of :N.
To New
# set default screen, pen and turtle values
ResetAll SetScreenSize [400 400] HideTurtle
SetSC Black SetPC Green SetPS 1 PenUp
End
To Curve :Angle
If :Angle > :MaxAngle [Stop]
Right 1 Forward Sine :N*:Angle
Curve :Angle+1
End
To Display :N
# write header info
SetPC White PenUp SetH 0
SetPos [-190 180]
If (:N > 1) [Label List "Hypo_Cycloid :N] [Label List "Epi_Cycloid :N]
End
To Go
New PenDown
Make "Curves [
[5 180] [4 360] [3 180] [2 360] [1.5 720] [1.333 1080]
[0.666 1080] [0.5 720] [0.333 540] [0.25 1440] [0.2 900] [0.02 4500] ]
Repeat Count :Curves [
Make "N Item 1 Item RepCount :Curves
Make "MaxAngle Item 2 Item RepCount :Curves
Wash Display :N SetPC Green Home PenDown Curve 0 Wait 60]
End