Tutorial: How to model self intersecting Möbius strip

Create object like mobius strip is simple, and should be divided into separate operations.

  1. Step 1:

    Draw base circle in sketcher.

  2. Step 2:

    Use sweep feature to create first part of revolving surface. For trajectory select half-circle arc. Choose option "Allow change section along trajectory".

  3. Step 3:

    Draw middle line and assign equation to angle dimension by using Tools-> Dimensions command, and write sd9=trajpar*135, where sd9- is name of angle dimension in section.

  4. Step 4:

    You should get a surface that smoothly rotates at 135°.

  5. Step 5:

    Do second sweep as first. Choose second arc of circle for trajectory, equiation for angle dimension in section must be like 45+trajpar*135. So we get 2 surface with a total rotation of 270°. (135°+135°=270°)

  6. Step 6:

    Do auxiliary point on circle. Make sure you select all circle not arc.

  7. Step 7:

    Create hole by using extrude feature with options (surface and cut 2-side)

  8. Step 8:

    Merge surfaces.

  9. Step 9:

    Make copy of auxiliary point and moving it by angle 360/15.5=23,225806451612903225806451612903 (15.5- is quantity of holes that are placed on the surface), then create axis and plane through point. Axis must be perpendicular to surface, plane must be perpendicular to axis.

  10. Step 10:

    Create hole by using extrude feature with options (surface and cut 2-side)

  11. Step 11:

    Group 4 last features (moved point, axis, plane, extrude), and make array by angle dimension.

  12. Step 12:

    Select this 'cheese surface'. Press ctrl+c then ctrl+v to copy and paste surface. Confirm copying. Select copy, and again copy it. And use Special paste to apply move/rotate option. rotate surface among Z-axis by 180°.

  13. Step 13:

    Merge two surfaces.

  14. Step 14:

    Give thikness.

  15. Step 15:

    Make rounds.