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Hexecontahedron information



Pentakis dodecahedron

Deltoidal hexecontahedron

Pentagonal hexecontahedron

Triakis icosahedron

Rhombic hexecontahedron

Small hexagonal hexecontahedron

In geometry, a hexecontahedron (or hexacontahedron[1]) is a polyhedron with 60 faces. There are many symmetric forms, and the ones with highest symmetry have icosahedral symmetry:

Four Catalan solids, convex:

  • Pentakis dodecahedron - isosceles triangles
  • Deltoidal hexecontahedron - kites
  • Pentagonal hexecontahedron - pentagons
  • Triakis icosahedron - isosceles triangles

Concave

  • Rhombic hexecontahedron - rhombi

27 uniform star-polyhedral duals: (self-intersecting)

  • Small dodecicosacron, Great dodecicosacron
  • Small rhombidodecacron, Great rhombidodecacron
  • Small dodecacronic hexecontahedron, Great dodecacronic hexecontahedron
  • Rhombicosacron
  • Small icosacronic hexecontahedron, Medial icosacronic hexecontahedron, Great icosacronic hexecontahedron
  • Small stellapentakis dodecahedron, Great stellapentakis dodecahedron
  • Great pentakis dodecahedron
  • Great triakis icosahedron
  • Small ditrigonal dodecacronic hexecontahedron, Great ditrigonal dodecacronic hexecontahedron
  • Medial deltoidal hexecontahedron, Great deltoidal hexecontahedron
  • Medial pentagonal hexecontahedron, Great pentagonal hexecontahedron
  • Medial inverted pentagonal hexecontahedron, Great inverted pentagonal hexecontahedron
  • Great pentagrammic hexecontahedron
  • Small hexagonal hexecontahedron, Medial hexagonal hexecontahedron, Great hexagonal hexecontahedron
  • Small hexagrammic hexecontahedron
  1. ^ "Greek numerical prefixes".

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Hexecontahedron

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hexecontahedron Small hexagonal hexecontahedron, Medial hexagonal hexecontahedron, Great hexagonal hexecontahedron Small hexagrammic hexecontahedron "Greek...

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Deltoidal hexecontahedron

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In geometry, a deltoidal hexecontahedron (also sometimes called a trapezoidal hexecontahedron, a strombic hexecontahedron, or a tetragonal hexacontahedron)...

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Pentagonal hexecontahedron

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In geometry, a pentagonal hexecontahedron is a Catalan solid, dual of the snub dodecahedron. It has two distinct forms, which are mirror images (or "enantiomorphs")...

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List of mathematical shapes

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Deltoidal hexecontahedron Disdyakis triacontahedron Pentagonal hexecontahedron non-convex Great complex icosidodecahedron Great deltoidal hexecontahedron Great...

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Rhombic hexecontahedron

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In geometry, a rhombic hexecontahedron is a stellation of the rhombic triacontahedron. It is nonconvex with 60 golden rhombic faces with icosahedral symmetry...

Word Count : 542

Great snub icosidodecahedron

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description of the great inverted pentagonal hexecontahedron and the great pentagrammic hexecontahedron. List of uniform polyhedra Great inverted snub...

Word Count : 872

Medial pentagonal hexecontahedron

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In geometry, the medial pentagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the snub dodecadodecahedron. It has 60 intersecting...

Word Count : 315

Great inverted snub icosidodecahedron

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role in the description of the great pentagonal hexecontahedron and the great pentagrammic hexecontahedron. List of uniform polyhedra Great snub icosidodecahedron...

Word Count : 811

Medial

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Medial deltoidal hexecontahedron Medial disdyakis triacontahedron Medial hexagonal hexecontahedron Medial icosacronic hexecontahedron Medial inverted pentagonal...

Word Count : 289

Inverted snub dodecadodecahedron

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gives the snub dodecadodecahedron. The medial inverted pentagonal hexecontahedron (or midly petaloid ditriacontahedron) is a nonconvex isohedral polyhedron...

Word Count : 703

Amazon Spheres

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firm Site Workshop, its three glass domes are covered in pentagonal hexecontahedron panels and serve as an employee lounge and workspace. The spheres,...

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Great deltoidal hexecontahedron

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In geometry, the great deltoidal hexecontahedron (or great sagittal ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the nonconvex...

Word Count : 261

Nonconvex great rhombicosidodecahedron

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rhombidodecahedron (having the square faces in common). The great deltoidal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the nonconvex...

Word Count : 307

Small icosacronic hexecontahedron

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In geometry, the small icosacronic hexecontahedron (or small lanceal trisicosahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform...

Word Count : 226

Great icosacronic hexecontahedron

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In geometry, the great icosacronic hexecontahedron (or great sagittal trisicosahedron) is the dual of the great icosicosidodecahedron. Its faces are darts...

Word Count : 222

Great hexagonal hexecontahedron

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In geometry, the great hexagonal hexecontahedron (or great astroid ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform...

Word Count : 214

Small hexagrammic hexecontahedron

Last Update:

In geometry, the small hexagrammic hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the small retrosnub icosicosidodecahedron. It...

Word Count : 256

Snub dodecadodecahedron

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gives the inverted snub dodecadodecahedron. The medial pentagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the snub dodecadodecahedron...

Word Count : 447

Great dodecacronic hexecontahedron

Last Update:

In geometry, the great dodecacronic hexecontahedron (or great lanceal ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform...

Word Count : 229

Great pentagrammic hexecontahedron

Last Update:

In geometry, the great pentagrammic hexecontahedron (or great dentoid ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the great...

Word Count : 282

Medial hexagonal hexecontahedron

Last Update:

In geometry, the medial hexagonal hexecontahedron (or midly dentoid ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform...

Word Count : 319

Medial deltoidal hexecontahedron

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In geometry, the medial deltoidal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the rhombidodecadodecahedron. Its 60 intersecting...

Word Count : 216

Small dodecicosidodecahedron

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polyhedron to the small dodecicosidodecahedron is the small dodecacronic hexecontahedron (or small sagittal ditriacontahedron). It is visually identical to...

Word Count : 381

Small hexagonal hexecontahedron

Last Update:

In geometry, the small hexagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform small snub icosicosidodecahedron....

Word Count : 420

Medial icosacronic hexecontahedron

Last Update:

In geometry, the medial icosacronic hexecontahedron (or midly sagittal ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform...

Word Count : 214

Rhombidodecadodecahedron

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rhombicosahedron (having the square faces in common). The medial deltoidal hexecontahedron (or midly lanceal ditriacontahedron) is a nonconvex isohedral polyhedron...

Word Count : 204

Catalan solid

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solids are chiral: the pentagonal icositetrahedron and the pentagonal hexecontahedron, dual to the chiral snub cube and snub dodecahedron. These each come...

Word Count : 2495

Snub icosidodecadodecahedron

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another form, the enantiomorph of the other one. The medial hexagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform...

Word Count : 485

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