#
Mathematical Experiment 11

Construct a cone using the command "tubeplot".

Construct a cone using the command "plot3d".

Construct three mutually tangnet cones.

Construct
12 half-cones each tangent to five others.

Construct four cones each tangent to the other three.

Construct four half-cones each touching the other
three.

Construct
20 spheres of the same size each tangnet to three others.
Note that the following points may be taken as the vertices of a dodecahedron:
where

Construct this model of the "icecream":

Construct
this model of "icecream":