Geomorphs: Cone

Back to geomorph index

Definition of surface, in parametric equations:

x(u,v) = v cos(u)
y(u,v) = v sin(u)
z(u,v) = a v


  • u ranges from 0 to 6, scanning three full circles on the XY-plane (this makes the interior appear smooth; if u is from 0 to 2, then Mathematica draws lines in the interior).
  • v ranges from 0 to 2, scanning the cone's surface from its tip at the origin to its rim.
  • a is a constant having the value 1.82 in this plot; higher values of a make the cone sharper.

Ancestor: Disc.

Descendants: Amphitheater, Boat, Multi-cone.

Note: If you do not see Greek characters on this page, it is probably because the font you are currently using with your browser does not include the Greek code-page. In this page, character is pi.

Back to geomorph index