Toroid (geometry) facts for kids
A Toroid is a geometric shape that resembles a torus. A toroid is constructed by rotating a geometrical shape around an axis which is outside the shape. If this is done to a circle, a torus results.
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The configuration space of 2 not necessarily distinct points on the circle is the orbifold quotient of the 2torus, T2/S2, which is the Möbius strip.

A toroidal polyhedron with 6 × 4 = 24 quadrilateral faces
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Toroid (geometry) Facts for Kids. Kiddle Encyclopedia.