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SEA-SHELL
The circled surfaces
generated by the circles centered on a conical
helix, located on the plane passing by the axis of the cone, and with
radii proportional to the distance of their center to the vertex of the
cone, have a shape very similar to that of various snails or sea-shells.
Cartesian equation: For |
![]() |
![]() The case m = –1/20 and k = 200 gives a shape very similar to that of the turritella! |
![]() A real turritella |
See the
same sea-shells thanks to Povray rendering.
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© Robert FERRÉOL 2017