Примеры использования Stellated на Английском языке и их переводы на Русский язык
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It can also be called the small stellated triacontahedron.
In geometry, the great stellated dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol{5/2,3.
Adding tetrahedra to all 8 faces creates the stellated octahedron.
This is an indexed list of the uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger.
The lengthening factor is the fractal dimension of Koch curve,which is the edge of stellated tetrahedron.
These include a packing of the small stellated rhombic dodecahedron, as in the Yoshimoto Cube.
He was also known for startling the travelling public by carrying around a large string bag filled with garishly coloured stellated icosahedra.
For example, the small stellated dodecahedron has 12 pentagram faces with the central pentagonal part hidden inside the solid.
It contains the 75 nonprismatic uniform polyhedra, as well as 44 stellated forms of the convex regular and quasiregular polyhedra.
The stellated octahedron can be constructed in several ways: It is a stellation of the regular octahedron, sharing the same face planes.
The other two Kepler-Poinsot polyhedra(the great stellated dodecahedron and great icosahedron) do not have regular hyperbolic tiling analogues.
This correction is close to the correction for a planar polygon with 10 vertices that is consistent with the 8 vertices of a stellated tetrahedron.
The first systematic naming of stellated polyhedra was Cayley's naming of the regular star polyhedra nowadays known as the Kepler-Poinsot polyhedra.
Schläfli held that all polyhedra must have χ 2, andhe rejected the small stellated dodecahedron and great dodecahedron as proper polyhedra.
A polyhedron is stellated by extending the edges or face planes of a polyhedron until they meet again to form a new polyhedron or compound.
The regular icosahedron can be faceted into three regular Kepler-Poinsot polyhedra: small stellated dodecahedron, great dodecahedron, and great icosahedron.
The small and great stellated dodecahedra, sometimes called the Kepler polyhedra, were first recognized as regular by Johannes Kepler in 1619.
For example, quasitruncating the square gives a regular octagram( t{ 4,3}={ 8/3}), andquasitruncating the cube gives the uniform stellated truncated hexahedron, t{4/3,3.
For example, in 4-space, the great grand stellated 120-cell is the final stellation of the regular 4-polytope 120-cell.
He stellated the regular dodecahedron to obtain two regular star polyhedra,the small stellated dodecahedron and great stellated dodecahedron.
The patterns{m/2, m} and{m, m/2} continue for odd m< 7 as polyhedra: when m 5,we obtain the small stellated dodecahedron and great dodecahedron, and when m 3, the case degenerates to a tetrahedron.
The great grand stellated 120-cell is the final stellation of the 120-cell, and is the only Schläfli-Hess polychoron to have the 120-cell for its convex hull.
Schläfli also found four of the regular star 4-polytopes: the grand 120-cell,great stellated 120-cell, grand 600-cell, and great grand stellated 120-cell.
The monad of this vortex has a shape of the stellated octahedron(stella octangula), which is called Mer-Ka-Ba in the ancient Egyptian, and which connects a spiritual(Ka) essence with a material(Ba) essence.
The first stage of the construction of the Koch Snowflake is a single central tetrahedron, and the second stage, formed by adding four smaller tetrahedra to the faces of the central tetrahedron,is the stellated octahedron.
Indeed, the great grand stellated 120-cell is dual to the grand 600-cell, which could be taken as a 4D analogue of the great icosahedron, dual of the great stellated dodecahedron.
Wenninger, 1974, has 119 figures: 1-5 for the Platonic solids, 6-18 for the Archimedean solids,19-66 for stellated forms including the 4 regular nonconvex polyhedra, and ended with 67-119 for the nonconvex uniform polyhedra.
In geometry, the great grand stellated 120-cell or great grand stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol{5/2,3,3}, one of 10 regular Schläfli-Hess 4-polytopes.
It can be seen as a 3D extension of the hexagram: the hexagram is a two-dimensional shape formed from two overlapping equilateral triangles, centrally symmetric to each other, andin the same way the stellated octahedron can be formed from two centrally symmetric overlapping tetrahedra.
The two tetrahedra of the compound view of the stellated octahedron are"desmic", meaning that(when interpreted as a line in projective space) each edge of one tetrahedron crosses two opposite edges of the other tetrahedron.