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Gyroelongated square pyramid information


Gyroelongated square pyramid
TypeJohnson
J9J10J11
Faces12 triangles
1 square
Edges20
Vertices9
Vertex configuration
Symmetry group
Propertiesconvex
Net

In geometry, the gyroelongated square pyramid is the Johnson solid that can be constructed by attaching an equilateral square pyramid to a square antiprism. It occurs in the chemistry such as square antiprismatic molecular geometry.

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Gyroelongated square pyramid

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gyroelongated square pyramid is one of them, enumerated as J 10 {\displaystyle J_{10}} , the tenth Johnson solid. The surface area of a gyroelongated...

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Square pyramid

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augmenting square pyramids or augmenting other shapes with square pyramids: elongated square pyramid J 8 {\displaystyle J_{8}} , gyroelongated square pyramid J...

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Gyroelongated square bipyramid

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other gyroelongated bipyramids, the gyroelongated square bipyramid can be constructed by attaching two equilateral square pyramids onto the square faces...

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Johnson solid

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are derived from pyramids. In the gyroelongated triangular pyramid, three pairs of adjacent triangles are coplanar and form non-square rhombi, so it is...

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Capped square antiprismatic molecular geometry

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a gyroelongated square pyramid. The symmetry group of the resulting object is C4v The gyroelongated square pyramid is a square pyramid with a square antiprism...

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Gyroelongated pyramid

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n-gonal antiprism. There are two gyroelongated pyramids that are Johnson solids made from regular triangles and square, and pentagons. A triangular and...

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Square antiprism

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The gyroelongated square pyramid is a Johnson solid (specifically, J10) constructed by augmenting one a square pyramid. Similarly, the gyroelongated square...

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Gyroelongated bipyramid

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equilateral triangles: the gyroelongated square bipyramid, a Johnson solid; the icosahedron, a Platonic solid; and the gyroelongated triangular bipyramid if...

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Pentagonal pyramid

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of the icosahedron forms a gyroelongated pentagonal pyramid, J11. More generally an order-2 vertex-uniform pentagonal pyramid can be defined with a regular...

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List of mathematical shapes

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rotunda Gyroelongated square bicupola Gyroelongated square bipyramid Gyroelongated square cupola Gyroelongated square pyramid Gyroelongated triangular...

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Enneahedron

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enneahedral duals: the triangular cupola, gyroelongated square pyramid, self-dual elongated square pyramid, triaugmented triangular prism (whose dual...

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J10

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hatchback LNER Class J10, a class of British steam locomotives Gyroelongated square pyramid (J10), a Johnson solid Malaysia Federal Route J10 Sony Ericsson...

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Cube

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point 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...

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Regular icosahedron

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be constructed like other gyroelongated bipyramids, started from a pentagonal antiprism by attaching two pentagonal pyramids with regular faces to each...

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Icosahedron

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is not face-transitive. Common icosahedra with pyramid and prism symmetries include: 19-sided pyramid (plus 1 base = 20). 18-sided prism (plus 2 ends...

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List of small polyhedra by vertex count

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and Johnson solids, as well as dihedral symmetry families including the pyramids, bipyramids, prisms, antiprisms, and trapezohedrons. Notes: Polyhedra with...

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Elongated pyramid

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be constructed with isosceles triangles. Gyroelongated bipyramid Elongated bipyramid Gyroelongated pyramid Diminished trapezohedron Norman W. Johnson...

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Triangular prism

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triaugmented triangular prism. The elongated triangular pyramid and the gyroelongated triangular pyramid are constructed by attaching tetrahedron onto the base...

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Tridecahedron

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topologically distinct forms of a tridecahedron, for example the dodecagonal pyramid and hendecagonal prism. However, a tridecahedron cannot be a regular polyhedron...

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Square cupola

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solids are elongated square cupola J 19 {\displaystyle J_{19}} , gyroelongated square cupola J 23 {\displaystyle J_{23}} , square orthobicupola J 28 {\displaystyle...

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Hexadecahedron

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examples of hexadecahedra. Heptagonal antiprism Gyroelongated pentagonal pyramid Gyroelongated square bipyramid Augmented dodecahedron Truncated triakis...

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List of Johnson solids

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

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Elongated bipyramid

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is rolled is the side that is to be read. Gyroelongated bipyramid Gyroelongated pyramid Elongated pyramid Diminished trapezohedron Norman W. Johnson...

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Octadecahedron

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triangular orthobicupola, the elongated triangular gyrobicupola, the gyroelongated triangular bicupola, and the triangular hebesphenorotunda. In addition...

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Convex uniform honeycomb

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In the gyroelongated form, prisms that meet tetrahedra at both ends alternate with prisms that meet octahedra at both ends. The gyroelongated triangular...

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