In geometry, the gyroelongated pentagonal pyramid is one of the Johnson solids (J11). As its name suggests, it is formed by taking a pentagonal pyramid and "gyroelongating" it, which in this case involves joining a pentagonal antiprism to its base.
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]
It can also be seen as a diminished icosahedron, an icosahedron with the top (a pentagonal pyramid, J2) chopped off by a plane. Other Johnson solids can be formed by cutting off multiple pentagonal pyramids from an icosahedron: the pentagonal antiprism and metabidiminished icosahedron (two pyramids removed), and the tridiminished icosahedron (three pyramids removed).
^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.
and 25 Related for: Gyroelongated pentagonal pyramid information
geometry, the gyroelongatedpentagonalpyramid is one of the Johnson solids (J11). As its name suggests, it is formed by taking a pentagonalpyramid and "gyroelongating"...
antiprism. There are two gyroelongatedpyramids that are Johnson solids made from regular triangles and square, and pentagons. A triangular and hexagonal...
can be constructed from pentagonal antiprism by attaching two pentagonalpyramids with regular faces to each of its pentagonal faces, or by putting points...
equilateral triangles: the gyroelongated square bipyramid, a Johnson solid; the icosahedron, a Platonic solid; and the gyroelongated triangular bipyramid if...
Like other gyroelongated bipyramids, the gyroelongated square bipyramid can be constructed by attaching two equilateral square pyramids onto the square...
dual polyhedron is the regular dodecahedron {5, 3} having three regular pentagonal faces around each vertex. The great icosahedron is one of the four regular...
be constructed with isosceles triangles. Gyroelongated bipyramid Elongated bipyramid Gyroelongatedpyramid Diminished trapezohedron Norman W. Johnson...
Route J11 (California) DEC J-11, a microprocessor chip set Gyroelongatedpentagonalpyramid, a Johnson solid (J11) JII (disambiguation) This disambiguation...
Johnson solids are the square pyramid, pentagonalpyramid, triangular cupola, square cupola, pentagonal cupola, and pentagonal rotunda. These six may be used...
and Johnson solids, as well as dihedral symmetry families including the pyramids, bipyramids, prisms, antiprisms, and trapezohedrons. Notes: Polyhedra with...
faces are made to be irregular. The dual of this solid is the Gyroelongatedpentagonal bifrustum. A Johnson solid is one of 92 strictly convex polyhedra...
The gyroelongated square pyramid is a Johnson solid (specifically, J10) constructed by augmenting one a square pyramid. Similarly, the gyroelongated square...
arranged around a central atom defining the vertices of a gyroelongated triangular pyramid. This shape has C3v symmetry and is one of the three common...
symmetry). The cube can be cut into six identical square pyramids. If these square pyramids are then attached to the faces of a second cube, a rhombic...
prism: P4 (A cube is a special prism) C = P4 Pentagonal antiprism: A5 I = k5A5 (A special gyroelongated dipyramid) D = t5dA5 (A special truncated trapezohedron)...
topologically distinct forms of a tridecahedron, for example the dodecagonal pyramid and hendecagonal prism. However, a tridecahedron cannot be a regular polyhedron...
Five non-convex deltahedra can be generated by adding an equilateral pyramid to every face of a Platonic solid: Other non-convex deltahedra can be generated...
Global Information
