CONE DISTORTION

To simplify the model even further, the triangle layers can be combined to form the distorted cone, corresponding to the main cone in the original model. In the main cone the radius can be computed at any height. However, in this case, since only discrete points are used, the radius is only known at seven heights. Therefore, conical sections are used between each of the six hexagon layers in order to establish the shape.

As a result, the formula for the distorted cone at the seven heights becomes:

for i in {0, 1, 2, 3, 4, 5, 6} and u in [0, 2pi].

For other heights, the method used is similar to that of the base cone.

Optical Illusion & Projection in Domes: A Study of Guarino Guarini's Santissima Sindone