Dome (geometry)
In geometry, a dome is understood to be a body that consists of two parallel, regular polygons that are connected to one another by rectangles and triangles . The lower shape has twice as many corners and edges as the figure above. All domes are prismatoid . The simplest dome is a wedge , in this case the top shape is just a line.
The triangular , square and pentagonal domes with regular side faces are the Johnson bodies J 3 , J 4 and J 5 . Domes with a "roof surface" of six or more corners can only be created using irregular side surfaces and therefore no Johnson bodies.
Some domes are part of other bodies . For example, if you cut a cuboctahedron in such a way that the cut surface is a regular hexagon , then the two halves of the cut cuboctahedron are two identical triangular domes (J 3 ).
See also: observatory dome
Web links
- Eric W. Weisstein : Cupola . In: MathWorld (English).