WOLFRAM|DEMONSTRATIONS PROJECT

Make a Sphericon

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color
rotate to make a sphericon
net for surface
surface
model
This Demonstration shows a construction of a sphericon. Let
B
be a bicone with a 90° apex angle, axis
A
, and equator
E
. Slice
B
with a plane containing
A
; the cross section is a square. Rotate one of the pieces by 90° around a diameter of
E
.