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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