| Cupola (geometry) |
Article Index for Cupola |
Information AboutCupola (geometry) |
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In Geometry , a cupola is a solid formed by joining two Polygon s, one (the base) with twice as many edges as the other, by an alternating band of Triangle s and Rectangle s. The Triangular , Square , and Pentagonal cupolae all count among the Johnson Solid s, and can be formed by taking sections of the Cuboctahedron , Rhombicuboctahedron , and Rhombicosidodecahedron , respectively. A cupola can be seen as a Prism where one of the polygons has been collapsed in half by merging alternate vertices. Cupolae are a subclass of the Prismatoid s. EXAMPLES al cupolas" in one of The 8 Semiregular Tessellations ]] The above-mentioned three polyhedra are the only non-trivial cupolae with regular faces: The " Hexagon al cupola" is a plane figure, and the Triangular Prism might be considered a "cupola" of degree 2 (the cupola of a line segment and a square). However, cupolae of higher-degree polygons may be constructed with Irregular triangular and rectangular faces. |
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