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stellation
stellation (stɛˈleɪʃən) [Noun of action f. L. stellāre to diversify with stars, to place among the stars, etc., f. stella star: see -ation.] † 1. Blighting or blasting of trees (attributed to starry influence): = sideration 1. Obs.—01623 [see sideration 1]. 1656 Blount Glossogr., Stellation, a blast...
Oxford English Dictionary
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Stellation
The new figure is a stellation of the original. Stellation is the reciprocal or dual process to faceting.
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Con†Stellation
held October 21–23, 1988; Con†Stellation VIII: Cetus held October 13–15, 1989; Con†Stellation IX: Sagittarius held October 19–21, 1990; Con†Stellation ; Con†Stellation XXII: Pegasus October 10–12, 2003; Con†Stellation XXIII: Delphinus held October 15–17, 2004; Con†Stellation XXIV: Lepus held October 7
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Stellations of polyhedra and partitions of space Given a vertex, edge, or face figure of a convex uniform polyhedron, is there a way to identify all of the partitions of space that result from stellation to infinity* ...
The stellation diagram is just a matter of projective or descriptive geometrical construction; choosing one reference face plane and extending the other
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Stellation diagram
In geometry, a stellation diagram or stellation pattern is a two-dimensional diagram in the plane of some face of a polyhedron, showing lines where other appear in that stellation.
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Small stellated 120-cell
It may also be seen as the first stellation of the 120-cell. of the 120-cell
The First Stellation of the 120-cell, A Zome Model
4-polytopes
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Final stellation of the icosahedron
In geometry, the complete or final stellation of the icosahedron is the outermost stellation of the icosahedron, and is "complete" and "final" because Miller, including the complete stellation.
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First stellation of the rhombic dodecahedron
Stellation, solid, and compound
The first stellation of the rhombic dodecahedron has 12 faces, each of which is a non-convex hexagon. (In the stellation, these line segments are formed by crossings of faces rather than edges.)
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星形菱形十二面体
而另外两种星形菱形十二面体尚未有广泛被接受的名称,部分文献以第一种多面体星形菱形十二面体(First stellation of rhombic dodecahedron)、第二种多面体星形菱形十二面体(Second stellation of rhombic dodecahedron)以及第三种多面体星形菱形十二面体 (Third stellation of rhombic dodecahedron)称之。
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Complete icosahedron
icosahedron may refer to:
an icosahedron which has had none of its faces removed, as opposed to a partial icosahedron such as a geodesic hemisphere
Final stellation of the icosahedron, also called the "complete stellation of the icosahedron"
In projective geometry, the complete icosahedron is a configuration of 20
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Faceting
Faceting is the reciprocal or dual process to stellation. History
Faceting has not been studied as extensively as stellation.
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Great dirhombicosidodecacron
Wenninger suggested these figures are members of a new class of stellation polyhedra, called stellation to infinity.
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Great triambic icosahedron
The exterior surface also represents the De2f2 stellation of the icosahedron. 34th model as his 9th stellation of the icosahedron
See also
Triakis icosahedron
Small triambic icosahedron
Medial rhombic triacontahedron
References
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Great stellated dodecahedron
It is the only dodecahedral stellation with this property, apart from the dodecahedron itself. References
External links
Uniform polyhedra and duals
Polyhedral stellation
Regular polyhedra
Kepler–Poinsot polyhedra
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Compound of great icosahedron and great stellated dodecahedron
, the other is a stellation of the icosidodecahedron. It is a stellation of the great icosidodecahedron.
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