Global Information Lookup Global Information

Elongated square gyrobicupola information


Elongated square gyrobicupola
TypeCanonical,
Johnson
J36J37J38
Faces8 triangles
18 squares
Edges48
Vertices24
Vertex configuration
Symmetry group
Dual polyhedronPseudo-deltoidal icositetrahedron
Propertiesconvex,
singular vertex figure
Net

In geometry, the elongated square gyrobicupola is a polyhedron constructed by two square cupolas attaching onto the bases of octagonal prism, with one of them rotated. It is also known as pseudo-rhombicuboctahedron because many mathematicians mistakenly constructed a rhombicuboctahedron. It is not considered to be an Archimedean solid because it lacks a set of global symmetries that map every vertex to every other vertex, unlike the 13 Archimedean solids. It is also a canonical polyhedron.

and 21 Related for: Elongated square gyrobicupola information

Request time (Page generated in 0.8286 seconds.)

Elongated square gyrobicupola

Last Update:

In geometry, the elongated square gyrobicupola is a polyhedron constructed by two square cupolas attaching onto the bases of octagonal prism, with one...

Word Count : 815

Square gyrobicupola

Last Update:

The square gyrobicupola is the second in an infinite set of gyrobicupolae. Related to the square gyrobicupola is the elongated square gyrobicupola. This...

Word Count : 298

Archimedean solid

Last Update:

Branko Grünbaum (2009) observed that a 14th polyhedron, the elongated square gyrobicupola (or pseudo-rhombicuboctahedron), meets a weaker definition of...

Word Count : 1309

Johnson solid

Last Update:

that Johnson's list was complete. Of the Johnson solids, the elongated square gyrobicupola (J37), also called the pseudorhombicuboctahedron, is unique...

Word Count : 1743

Elongated triangular gyrobicupola

Last Update:

In geometry, the elongated triangular gyrobicupola is a polyhedron constructed by attaching two regular triangular cupolas to the base of a regular hexagonal...

Word Count : 587

Elongated pentagonal gyrobicupola

Last Update:

geometry, the elongated pentagonal gyrobicupola is one of the Johnson solids (J39). As the name suggests, it can be constructed by elongating a pentagonal...

Word Count : 257

Rhombicuboctahedron

Last Update:

to give a new solid called the elongated square gyrobicupola or pseudorhombicuboctahedron, with the symmetry of a square antiprism. In this the vertices...

Word Count : 1660

Elongated gyrobifastigium

Last Update:

gyrobifastigium is first in a series of gyrobicupola, so this solid can also be called an elongated digonal gyrobicupola. Geometrically it can also be constructed...

Word Count : 533

List of mathematical shapes

Last Update:

rotunda Elongated square bipyramid Elongated square cupola Elongated square gyrobicupola Elongated square pyramid Elongated triangular bipyramid Elongated triangular...

Word Count : 3577

Elongated bicupola

Last Update:

triangles, 4n squares, and 2 n-gon. The ortho forms have the cupola aligned, while gyro forms are counter aligned. Bicupola Elongated cupola Gyroelongated...

Word Count : 110

Square cupola

Last Update:

J_{28}} , square gyrobicupola J 29 {\displaystyle J_{29}} , elongated square gyrobicupola J 37 {\displaystyle J_{37}} , and gyroelongated square bicupola...

Word Count : 884

Pseudo great rhombicuboctahedron

Last Update:

rhombicuboctahedron may also be termed an elongated crossed square gyrobicupola, in analogy to the name of the elongated square gyrobicupola. Grünbaum, Branko (2009)....

Word Count : 182

Semiregular polyhedron

Last Update:

These polyhedra include: The thirteen Archimedean solids. The elongated square gyrobicupola, also called a pseudo-rhombicuboctahedron, a Johnson solid,...

Word Count : 979

Square orthobicupola

Last Update:

A 45-degree rotation of one cupola before the joining yields a square gyrobicupola (J29). A Johnson solid is one of 92 strictly convex polyhedra that...

Word Count : 255

Pentagonal gyrobicupola

Last Update:

In geometry, the pentagonal gyrobicupola is one of the Johnson solids (J31). Like the pentagonal orthobicupola (J30), it can be obtained by joining two...

Word Count : 277

List of small polyhedra by vertex count

Last Update:

bicupola Elongated triangular orthobicupola Elongated triangular gyrobicupola rhombocuboctohedron 19 20 Dodecahedron Pentagonal rotunda Elongated square cupola...

Word Count : 155

Gyrobifastigium

Last Update:

explained by viewing it as a digonal gyrobicupola. Just as the other regular cupolas have an alternating sequence of squares and triangles surrounding a single...

Word Count : 807

J37

Last Update:

J37 may refer to: Elongated square gyrobicupola, a Johnson solid (J37) Honda J37, an automobile engine Jardine Strategic Holdings, a Singaporean holding...

Word Count : 81

Octadecahedron

Last Update:

solids have octadecahedral duals: the elongated triangular orthobicupola, the elongated triangular gyrobicupola, the gyroelongated triangular bicupola...

Word Count : 257

Elongated pentagonal orthobicupola

Last Update:

cupolae through 36 degrees before inserting the prism yields an elongated pentagonal gyrobicupola (J39). A Johnson solid is one of 92 strictly convex polyhedra...

Word Count : 273

List of Johnson solids

Last Update:

1969. The first six Johnson solids are the square pyramid, pentagonal pyramid, triangular cupola, square cupola, pentagonal cupola, and pentagonal rotunda...

Word Count : 1305

PDF Search Engine © AllGlobal.net