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)
