In geometry, the triaugmented dodecahedron is one of the Johnson solids (J61). It can be seen as a dodecahedron with three pentagonal pyramids (J2) attached to nonadjacent faces. When pyramids are attached to a dodecahedron in other ways, they may result in an augmented dodecahedron (J58), a parabiaugmented dodecahedron (J59), a metabiaugmented dodecahedron (J60), or even a pentakis dodecahedron if the faces are made to be irregular.
A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.[1]
^Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603.
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In geometry, the triaugmenteddodecahedron is one of the Johnson solids (J61). It can be seen as a dodecahedron with three pentagonal pyramids (J2) attached...
In geometry, the triaugmented truncated dodecahedron is one of the Johnson solids (J71); of them, it has the greatest volume in proportion to the cube...
a dodecahedron in other ways, they may result in an augmented dodecahedron (J58), a metabiaugmented dodecahedron (J60), a triaugmenteddodecahedron (J61)...
a dodecahedron in other ways, they may result in an augmented dodecahedron (J58), a parabiaugmented dodecahedron (J59), a triaugmenteddodecahedron (J61)...
result may be a parabiaugmented dodecahedron (J59), a metabiaugmented dodecahedron (J60), or a triaugmenteddodecahedron (J61). A Johnson solid is one of...
{5}}\right)a^{3}\\&\approx 89.6878a^{3}\end{aligned}}} 71 Triaugmented truncated dodecahedron 75 135 62 C 3 v {\displaystyle C_{3v}} of order 6 A = 1 4...
engine LNER Class J71, a British steam locomotive class Triaugmented truncated dodecahedron This disambiguation page lists articles associated with the...
polyhedral configurations of the remaining two Platonic solids, the cube and dodecahedron respectively. One can also ask for ground states of particles interacting...
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