The mapping of a grid of regularly ruled squares onto a cone with no overlap or misalignment. Cone nets are possible for vertex angles of 
, 
, and 
, where the dark edges in the upper diagrams above
are joined. Beautiful photographs of cone net models (lower diagrams above) are presented
in Steinhaus (1999). The transformation from a point 
in the grid plane to a point 
on the cone is given by
 |  |  |
(1)
|
 |  |  |
(2)
|
 |  |  |
(3)
|
where 
, 1/2, or 3/4 is the fraction of
a circle forming the base, and
 |  |  |
(4)
|
 |  |  |
(5)
|
 |  |  |
(6)
|
