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Cubic-Triangular Tiling Honeycomb Cubic-triangular tiling honeycomb The bitruncated cubic honeycomb can be orthogonally projected into the planar truncated square tiling by a geometric folding operation that maps two pairs of mirrors into each other. The projection of the bitruncated cubic honeycomb creating two offset copies of the truncated square tiling vertex arrangement of the plane: Coxeter group. Coxeter diagram. Graph. Bitruncated cubic honeycomb. Truncated square tiling. Alternated bitruncated cubic honeycomb. The dual of the cantitruncated cubic honeycomb is called a triangular pyramidille, with Coxeter diagram, . This honeycomb cells represents the fundamental domains of symmetry. A cell can be as 1/24 of a translational cube with vertices positioned: taking two corner, ne face center, and the cube center. Cantitruncated cubic honeycomb. Images. Projections. Symmetry. Triangular pyramidille. Related polyhedra and honeycombs. Alternated cantitruncated cubic honeycomb. Runcic cantitruncated cubic honeycomb. Runcitruncated cubic honeycomb. Projections. Related skew apeirohedron. Square quarter pyramidille. Omnitruncated cubic honeycomb. Projections. Symmetry. Related polyhedra. Alternated omnitruncated cubic honeycomb. This honeycomb can be divided on trihexagonal tiling planes, using the hexagon centers of the cuboctahedra, creating two triangular cupolae . This scaliform honeycomb is represented by Coxeter diagram , and symbol s 3 {2,6,3}, with coxeter notation symmetry [2 + ,6,3]. Truncated cubic honeycomb. Cubic-triangular tiling honeycomb. In the geometry of hyperbolic 3-space, the cubic-triangular tiling honeycomb is a paracompact uniform honeycomb, constructed from cube, triangular tiling, and cuboctahedron cells, in a rhombitrihexagonal tiling vertex figure. It has a single-ring Coxeter diagram, {CDD|label6|branch|3ab|branch_10l|label4}, and is named by its two regular cells. == Found on http://en.wikipedia.org/wiki/Cubic-triangular_tiling_honeycomb. No exact match found. Tessellation Hexagonal tiling Hyperbolic geometry Triangular tiling Honeycomb - triangle is about Yellow, Circle, Ball, Line, Symmetry, Area, Sphere, Tessellation, Hexagonal Tiling, Hyperbolic Geometry, Triangular Tiling, Honeycomb, Hexagon, Decagon, Triangle, Order4 Hexagonal Tiling Honeycomb, Uniform Tilings In Hyperbolic Plane, Schläfli Symbol, Hexagonal Tiling Honeycomb, Angle, Order6 Hexagonal Tiling Honeycomb, Polygon, Tile, I 7, H 2, Order, Art. Tessellation Hexagonal tiling Hyperbolic geometry Triangular tiling Honeycomb - triangle supports png. You can download 2520*2520 Tessellation ⦠The triangular tiling honeycomb is one of 11 paracompact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. It is called paracompact because it has infinite cells and vertex figures, with all vertices as ideal points at infinity. ⦠In the geometry of hyperbolic 3-space, the order-7 hexagonal tiling honeycomb a regular space-filling tessellation (or honeycomb). In the field of hyperbolic geometry, the hexagonal tiling honeycomb arises one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It is called paracompact because it has infinite cells. ⦠Th Nonlinear Sciences > Pattern Formation and Solitons. Title: Solitons in Triangular and Honeycomb Dynamical Lattices with the Cubic Nonlinearity. Authors: P.G. Kevrekidis, B.A. Malomed, Yu.B. Gaididei. (Submitted on 19 May 2002). The long-range interactions additionally destabilize the discrete soliton, or make it more stable, if the sign of the interaction is, respectively, the same as or opposite to the sign of the short-range interaction. We also explore more complicated solutions, such as twisted localized modes (TLM's) and solutions carrying multiple topological charge (vortices) that are specific to the triangular and honeycomb lattices. In the cases when such vortices are unstable, direct simulations demonstrate that they turn into zero-vorticity fundamental solitons..
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