In geometry, the augmented truncated cube is one of the Johnson solids (J66). As its name suggests, it is created by attaching a square cupola (J4) onto...

dual to the canonical versions. The chamfered tetrahedron or alternate truncated cube is a convex polyhedron constructed: by chamfering a regular tetrahedron:...

icosahedron Augmented tridiminished icosahedron Augmented truncated tetrahedron Augmented truncated cube Biaugmented truncated cube Augmented truncated dodecahedron...

Augmented tridiminished icosahedron Augmented truncated cube Augmented truncated dodecahedron Augmented truncated tetrahedron Biaugmented pentagonal prism...

Augmented tridiminished icosahedron Augmented truncated cube Augmented truncated dodecahedron Augmented truncated tetrahedron Biaugmented pentagonal prism...

triakis octahedron is called a octakis truncated cube. It can be seen as a truncated cube with octagonal pyramids augmented to the faces. The DaYan Gem 6 is...

truncated triakis tetrahedron is called a hexakis truncated octahedron. It is constructed by a truncated octahedron with hexagonal pyramids augmented...

triangle faces. Truncated triangular trapezohedron, also called Dürer's solid: Obtained by truncating two opposite corners of a cube or rhombohedron,...

called a decakis truncated dodecahedron. It can be seen as a truncated dodecahedron with decagonal pyramids augmented to the faces. Truncated triakis tetrahedron...

the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron...

of dodecagonal prisms, hexagonal prisms, and cubes in a ratio of 1:2:3. It is constructed from a truncated trihexagonal tiling extruded into prisms. It...

as the truncated tetrahedron. The truncated tetrahedron can be found in the construction of polyhedrons. For example, the augmented truncated tetrahedron...

Elongated square dipyramid, a Johnson solid. Obtained by augmenting two opposite faces of a cube by equilateral square pyramids, the resulting polyhedron...

d10 Truncated square trapezohedron Enneagonal pyramid (9-pyramid) Ten of diamonds decahedron - a space-filling polyhedron with D2d symmetry A cube with...

{11}{2{\sqrt {2}}}}a^{3}\\&\approx 3.8891a^{3}\end{aligned}}} 66 Augmented truncated cube 28 48 22 C 4 v {\displaystyle C_{4v}} of order 8 A = ( 15 + 10...

Design, Dover Publications, Inc. Truncated rhombicuboctahedron Moravian star Chamfered cube, obtained by augmenting the triangles to obtain non-uniform...

octakis cube, octakis hexahedron, kisrhombic dodecahedron) or d48, is a Catalan solid with 48 faces and the dual to the Archimedean truncated cuboctahedron...

topologically self-dual. It can also be seen as an augmented n-gonal antiprism, with a n-gonal pyramid augmented onto one of the n-gonal faces, and whose height...

Archimedean solids: Cuboctahedron (8 triangles, 6 squares) Truncated cube (8 triangles, 6 octagons) Truncated octahedron (6 squares, 8 hexagons) Prisms and antiprisms:...

hexagonal pyramid Triangular cupola Truncated tetrahedron Truncated octahedron 4.4.4.4 Square icositetrahedron (Cube) 3.4.6.4: Hexagonal cupola (Degenerate)...

since antiquity. The regular dodecahedron is a truncated trapezohedron because it is the result of truncating axial vertices of a pentagonal trapezohedron...

but triangles and square removed. It can be seen as truncated tetrahedra and truncated cubes augmented together. The gyrated tetrahedral-octahedral honeycomb...

ones are related to noncompact families. The tessellation consists of truncated cubes and infinite order-8 triangular tilings . However the latter intersect...

dodecahedron can be seen as a cube with six square pyramids attached to each face, allowing them to fit together into a cube. Therefore, the rhombic dodecahedron...

during truncation. The snub 24-cell is related to the truncated 24-cell by an alternation operation. Half the vertices are deleted, the 24 truncated octahedron...

{3,5+}4,1, and truncating that becomes G(6,3). And similarly {3,5+}2,1 truncated becomes G(4,1), and that kised becomes {3,5+}6,3. Magnus Wenninger's book...

The Klee–Minty cube or Klee–Minty polytope (named after Victor Klee and George J. Minty) is a unit hypercube of variable dimension whose corners have been...

regular faces to each of its pentagonal faces, or by putting points onto the cube. The resulting polyhedron has 20 equilateral triangles as its faces, 30 edges...

J_{44}} , augmented truncated tetrahedron J 65 {\displaystyle J_{65}} . The triangular cupola may also be applied in constructing truncated tetrahedron...

Having all regular cells, it is a Blind polytope. Two copies can be augmented to make an octahedral bipyramid which is also a Blind polytope. The regular...