Parametric Surface Graph: Mobius Strip
A one-sided strip with a half twist.
z = atan(y / (x + 0.001))Quick facts
- Formula: z = atan(y / (x + 0.001))
- Category: parametric
- Tags: parametric, surface, vector calculus
What this graph represents
The live widget gives an angle-based surface while the text explains the Mobius parameterization.
Where it appears in calculus
Good for topology discussions before formal proofs.
How to use this graph
- Rotate the surface by dragging with your mouse or finger
- Use the Embed button to copy an
<iframe>for your LMS or lesson page - Click PNG to export a classroom-ready image
- Click Formula or LaTeX to copy the equation for your notes
Embed this graph
Use the Embed button in the calculator to copy a ready iframe for blogs, LMS pages, and lesson notes.
Open embed pageTeacher prompt
Question: What makes a Mobius strip unusual?
Answer: It has one continuous side because the strip twists once before closing.
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z = atan(y / (x + 0.001)) + 0.2*sqrt(x^2 + y^2)A ramp that rises as it rotates.
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