A solid figure whose faces are trapeziums or trapezoids. In Lovecraft lore the Shining Trapezohedron is a "crazily angled stone" of extraterrestrial origin.
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| - A solid figure whose faces are trapeziums or trapezoids. In Lovecraft lore the Shining Trapezohedron is a "crazily angled stone" of extraterrestrial origin.
- The n-gonal trapezohedron, antidipyramid or deltohedron is the dual polyhedron of an n-gonal antiprism. Its 2n faces are congruent deltoids (or kites). The faces are symmetrically staggered. The name trapezohedron can be misleading as the faces are not trapezoids, but the alternative deltohedron is sometimes confused with the unrelated term deltahedron. It is quite possible, but not necessarily true, that the name trapezohedron could be derived from trapezium (a quadrilateral with no parallel sides) as opposed to trapezoid, since the faces are kites, a type of trapezium.
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| - A solid figure whose faces are trapeziums or trapezoids. In Lovecraft lore the Shining Trapezohedron is a "crazily angled stone" of extraterrestrial origin.
- The n-gonal trapezohedron, antidipyramid or deltohedron is the dual polyhedron of an n-gonal antiprism. Its 2n faces are congruent deltoids (or kites). The faces are symmetrically staggered. The name trapezohedron can be misleading as the faces are not trapezoids, but the alternative deltohedron is sometimes confused with the unrelated term deltahedron. It is quite possible, but not necessarily true, that the name trapezohedron could be derived from trapezium (a quadrilateral with no parallel sides) as opposed to trapezoid, since the faces are kites, a type of trapezium. The n-gon part of the name does not reference the faces here but arrangement of vertices around an axis of symmetry. The dual n-gonal antiprism has two actual n-gon faces. An n-gonal trapezohedron can be decomposed into two equal n-gonal pyramids and an n-gonal antiprism. In texts describing the crystal habits of minerals, the word trapezohedron is often used to refer to the polyhedron properly known as a deltoidal icositetrahedron.
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