In geometry, the elongatedgyrobifastigium or gabled rhombohedron is a space-filling octahedron with 4 rectangles and 4 right-angled pentagonal faces...
In geometry, the gyrobifastigium is the 26th Johnson solid (J26). It can be constructed by joining two face-regular triangular prisms along corresponding...
1969 proved that Johnson's list was complete. Of the Johnson solids, the elongated square gyrobicupola (J37), also called the pseudorhombicuboctahedron,...
eight-sphere clusters. The dual polyhedron of the snub disphenoid is the elongatedgyrobifastigium. The snub disphenoid can be constructed in different ways. As...
same orientation. This is related to a space-filling polyhedron, elongatedgyrobifastigium, where cube and two opposite triangular prisms are augmented together...
In geometry, the disphenocingulum or pentakis elongatedgyrobifastigium is one of the Johnson solids (J90). It is one of the elementary Johnson solids...
are stereohedra but not parallelohedra nor plesiohedra include the gyrobifastigium. Ivanov, A. B. (2001) [1994], "Stereohedron", Encyclopedia of Mathematics...
and can also be called an elongated octahedron and self-dual octahedron. These polyhedra resemble the dual gyrobifastigium in that both shapes have eight...
include prisms over certain quadrilaterals, pentagons, and hexagons. The gyrobifastigium is a stereohedron but not a plesiohedron, because the points at the...
{5}}}}-2{\sqrt {5}}-2}}\right)a^{3}\\&\approx 13.6671a^{3}\end{aligned}}} 26 Gyrobifastigium 8 14 8 D 2 d {\displaystyle D_{2d}} of order 8 A = ( 4 + 3 ) a 2 ≈...
and gyrobifastigium. The cube is the only Platonic solid that can tessellate space on its own, and the truncated octahedron and gyrobifastigium are the...
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