Mobius Band

- twisted loop

A Mobius band can be made from a strip of paper. It is given a twist before its ends are glued together. A half twist results in one side and one edge. If it is cut in half (between the red and green lines) two joined loops are formed.

To New
  # set default screen, pen and turtle values
  ResetAll SetScreenSize [400 400] HideTurtle
  SetSC Black SetPC Green SetPS 1 PenUp
End

To Mobius :Twist
  For [Angle 0 359 5] [
    Home Up :Angle
    Forward 200 Down 90 LeftRoll :Twist*:Angle
    Paddle
    RightRoll :Twist*:Angle Up 90 Back 240 Wait 4]
End

To Paddle
  # draw perpendicular red/green paddle
  Right 90 Back 60
  SetPW 8 SetPC Red PointStart Dot Pos PointEnd
  SetPW 1
  SetPC Red PenDown LineStart Forward 60 LineEnd PenUp
  SetPC Green PenDown LineStart Forward 60 LineEnd PenUp
  SetPW 8 SetPC Green PointStart Dot Pos PointEnd
  Back 60 Left 90
End

To Go :Twist
  New Perspective CS PenUp
  HideTurtle SetSC Black
  Mobius :Twist/2
  Message [View3D?] View3D
End

Cube Oct
Mobius Band

Procedures blue
Variables pink
Comments green
Library gray