High Quality Content by WIKIPEDIA articles! The sphericon is a 3D shape with one side and two edges, discovered by Colin Roberts, of Hertfordshire, England. To construct, take a bicone (a double cone) with an apex of 90 degrees, and split it from apex to apex. Rotate one half by 90 degrees, and stick the two halves back together again. An easier method of making a sphericon is to use a template. Cut it out, and form a ring by gluing the tab to the respective edge. Then just tape the remaining curved edges together. The four angles are each 180 / sqrt{2} degrees. After making this shape, Roberts realised that these could be put into many different lattices which could all revolve around each other when a single sphericon was turned.

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