Примеры использования Pentagons на Английском языке и их переводы на Русский язык
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A number of pentagons can not write.
Thus, the system is triune: triangles,rhombuses, pentagons.
The pentagons come from the 12 vertices which we sliced off, and correspond to the faces of a dodecahedron.
The polyhedrons made of 20 triangles and 12 pentagons.
Example: Pentagonal prism,{5}×{}, two parallel pentagons connected by 5 rectangular sides.
We obtain an object consisting of 20 hexagons and 12 pentagons.
The hidden inner pentagons are no longer part of the polyhedral surface, and can disappear.
It was he who came up with the design of domes,consisting of a set of hexagons and pentagons.
It consists of two pentagons joined to each other by a ring of 10 triangles for a total of 12 faces.
Other forms can be generated with dihedral symmetry anddistorted equilateral pentagons.
On the basis of this negative result they suggested that Robbins pentagons with irrational diagonals may not exist.
The pentagonal tiling was taken from the list of 14 known tilings of congruent convex pentagons.
Robbins pentagons were named by Buchholz& MacDougall(2008) after David P. Robbins, who had previously given a formula for the area of a cyclic pentagon as a function of its edge lengths.
One of them, Hippasus, disclosed one of the secrets anddrew a sphere covered with twelve equal pentagons.
The snub dodecahedron has 92 faces(the most of the 13 Archimedean solids):12 are pentagons and the other 80 are equilateral triangles.
The chamfered dodecahedron is a convex polyhedron with 80 vertices, 120 edges, and 42 faces:30 hexagons and 12 pentagons.
It is composed of 12 pentagonal faces(six pairs of parallel pentagons), with five pentagons meeting at each vertex, intersecting each other making a pentagrammic path.
For example,"3.5.3.5" indicates a vertex belonging to 4 faces,alternating triangles and pentagons.
An icosidodecahedron has 30 identical vertices,with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon.
The sphinx hexiamond(illustrated above) is rep-4 and rep-9, andis one of few known self-replicating pentagons.
A result of this formula is that any closed polyhedron of hexagons has to include exactly 12 pentagons, like a soccer ball, Buckminster Fuller geodesic dome, or fullerene molecule.
As with the Desargues configuration,the other depicted configuration can be viewed as a pair of mutually inscribed pentagons.
It is also possible to subdivide the prototiles of certain hexagonal tilings by two, three, four or nine equal pentagons: This tiling is topologically related as a part of sequence of regular tilings with hexagonal faces, starting with the hexagonal tiling, with Schläfli symbol{6,n}, and Coxeter diagram.
They are similar to a cupola but instead of alternating squares and triangles,it alternates pentagons and triangles around an axis.
Molecule C 60 can also be represented as a closed surface consisting of 20 hexagons and 12 pentagons"stitched" into a microscopic soccer ball, where each pentagon is surrounded by hexagons, and each hexagon is bordered by three hexagons and three pentagons. .
For instance in the(4,3,3) triangle family, the snub form has six polygons around a vertex andits dual has hexagons rather than pentagons.
Other isohedrally-tiled topological hexagonal tilings are seen as quadrilaterals and pentagons that are not edge-to-edge, but interpreted as colinear adjacent edges: The 2-uniform and 3-uniform tessellations have a rotational degree of freedom which distorts 2/3 of the hexagons, including a colinear case that can also be seen as a non-edge-to-edge tiling of hexagons and larger triangles.
These primitives were cuboids, four-sided frustums(called pyramids by Freescape), triangles, rectangles,quadrilaterals, pentagons, hexagons and line segments.
The pentagonal bipyramid, dt{2,5}, can be in sequence rectified, rdt{2,5}, truncated, trdt{2,5} and alternated(snubbed), srdt{2,5}: The dual of theJohnson solid pentagonal bipyramid is the pentagonal prism, with 7 faces: 5 rectangular faces and 2 pentagons.
The snub dodecahedron has two especially symmetric orthogonal projections as shown below,centered on two types of faces: triangles and pentagons, corresponding to the A2 and H2 Coxeter planes.