Cylinder Cutting

Have you thought about looking at the angles involved? You could search online for each of the angles, selecting "images".

Here are some web sites that might help:

• http://www.physicsforums.com/showthread.php?t=164674
• http://www.abovetopsecret.com/forum/thread189136/pg2
• http://www.vortexmaps.com/planets.php
• http://www.martinkeitel.net/cropcircles/harlequin/3dmath.html
• http://www.martinkeitel.net/cropcircles/harlequin/3d_frame.html

And here is a solid shape relating to the challenge:

• http://dogfeathers.com/mark/rhdodec.html
• http://www.korthalsaltes.com/model.php?name_en=rhombic%20dodecahedron
• http://www.kjmaclean.com/Geometry/rhombicdodeca.html
• http://mathworld.wolfram.com/RhombicDodecahedron.html