PARAMETRIC · 3D · STEP / STL / 3MF
Möbius StripMÖBIUS STRIP
Generate a smooth solid Möbius strip from ring radius, width and thickness. Download STEP, STL or 3MF.
- Twist180°
- SurfaceSmooth loft
- OutputSTEP · STL · 3MF · DXF
LIVE · MÖBIUS STRIP
R30 · 15 × 2
SCALE 1:1 · mm
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CALCULATED · SPEC
AUTO-COMPUTED
L
188.50mm
Centre-line length
V
5654.9mm³
Volume
Le
377.0mm
Edge length
Do
75.00mm
Max outer Ø
HOW-TO
How to generate a möbius strip STEP / STL file
- 1Enter the ring (centre-line) radius.
- 2Enter the strip width and thickness.
- 3Check the spec cards and any warnings.
- 4Download STEP, STL or 3MF — or send it to Orinovate for a quote.
What is a Möbius strip?
Discovered by Möbius and Listing in 1858, the Möbius strip is a non-orientable surface with a single side and a single edge. It shows up in the recycling logo, conveyor belts (both sides wear evenly), sculpture and topology classes.
How it is modelled
A w × t rectangle travels around a circle of radius R while turning 180° in its own plane. Two smooth lofts are sewn into one closed solid, so the STEP has true curved surfaces rather than a mesh. V = 2πRwt; edge length ≈ 4πR.
Specs at default parameters
| Parameter | Value | Range |
|---|---|---|
| Ring radius (R) | 30 mm | 5–500 |
| Strip width (w) | 15 mm | 1–500 |
| Thickness (t) | 2 mm | 0.4–50 |
| Centre-line length (L) | 188.50 mm | — |
| Volume (V) | 5654.9 mm³ | — |
| Edge length (Le) | 377.0 mm | — |
| Max outer Ø (Do) | 75.00 mm | — |
FAQ
What is special about a Möbius strip?
Give a paper strip a half-twist (180°) and join the ends: the result has one side and one edge. Cut it along the centre line and you get one loop, twice as long, not two — the edge here is about 4πR long.
How should I print it?
It already rests on z = 0. The twist creates some overhang, so use tree supports on FDM. A width of 1/3–1/2 of the ring radius and 1.2–2 mm thickness work well. Resin, SLS or MJF avoid support marks.
How is the volume calculated?
The w × t cross-section always stays perpendicular to the centre circle, so by Pappus V = 2πR·w·t regardless of the twist.
Which software opens the möbius strip STEP file?
STEP (AP214) opens in Fusion 360, SolidWorks, FreeCAD, Onshape and Rhino. STL / 3MF import directly into Bambu Studio, PrusaSlicer or Cura.
Is it free?
Yes — no sign-up, no fees. Need a physical part? Send it to Orinovate for an instant quote in FDM, SLA, SLS, MJF or CNC.
Related generators
Need a physical part?
Send the model straight to Orinovate's instant quote: FDM, SLA, SLS, MJF, metal printing and CNC, made in Hsinchu, Taiwan.
About STEP / STL / 3MF / DXF
- STEP (.step / .stp, AP214) keeps exact dimensions and surfaces for editing in Fusion 360, SolidWorks or FreeCAD.
- STL and 3MF are triangle meshes that import directly into Bambu Studio, PrusaSlicer or Cura.
- DXF is the top-view 2D outline, ready for laser cutting, waterjet or CNC routing.
- All models are in millimetres at true scale.