Developable Surfaces

This page is a sub-page of our page on Ruled Surfaces.

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Related KMR-pages:

Canal Surfaces
Dupin Cyclides

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Other relevant sources of information:

Developable Surfaces at Wikipedia
Developable Surfaces at www.mathcurve.com
Images for Developable Surface Architecture at Google
The Tangent Developable of a space curve at Wikipedia
The Polar Developable of a space curve at www.mathcurve.com ERROR: the polar developable of the circular helix is the developable helicoid generated by the tangents of the helix, symmetric with respect to the axis.
Images for Rectifying Developable at Google
Developable Helicoid at Mathcurve.com
• Developable Surfaces: Their History and Application by Snezana Lawrence, Nexus Network Journal, October 2011, Volume 13, Issue 3, pp 701–714

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The interactive simulations on this page can be navigated with the Free Viewer
of the Graphing Calculator.

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The tangent developable of a circular helix:

The interactive simulation that created this movie.

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Interactive simulation of the Principal Curvature Net of a Tangent Developable.

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The polar developable of a circular helix:

The interactive simulation that created this movie.

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The rectifying developable of a circular helix:

The interactive simulation that created this movie.

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Interactive Design of Developable Surfaces
(Chengcheng Tang on YouTube):

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