Great grand 120-cell

Great grand 120-cell

In geometry, the great grand 120-cell is a star polychoron with Schläfli symbol {5,5/2,3}. It is one of 10 regular Schläfli-Hess polychora.

It has the same edge arrangement as the small stellated 120-cell.

See also

* List of regular polytopes
* Convex regular 4-polytope - Set of convex regular polychoron
* Kepler-Poinsot solids - regular star polyhedron
* Star polygon - regular star polygons

External links

* [http://hometown.aol.com/hedrondude/regulars.html Regular polychora]
* [http://mathforum.org/library/drmath/view/54786.html Discussion on names]
* [http://www.mathematik.uni-regensburg.de/Goette/sterne Reguläre Polytope]
* [http://davidf.faricy.net/polyhedra/Star_Polychora.html The Regular Star Polychora]

References

* Edmund Hess, (1883) "Einleitung in die Lehre von der Kugelteilung mit besonderer Berücksichtigung ihrer Anwendung auf die Theorie der Gleichflächigen und der gleicheckigen Polyeder" [http://www.hti.umich.edu/cgi/b/bib/bibperm?q1=ABN8623.0001.001] .
*H. S. M. Coxeter, "Regular Polytopes", 3rd. ed., Dover Publications, 1973. ISBN 0-486-61480-8.


Wikimedia Foundation. 2010.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

  • Great stellated 120-cell — In geometry, the great stellated 120 cell is a star polychoron with Schläfli symbol {5/2,3,5}. It is one of 10 regular Schläfli Hess polychora.It is one of four regular star polychora discovered by Ludwig Schläfli. It is named by John Horton… …   Wikipedia

  • Great icosahedral 120-cell — In geometry, the great icosahedral 120 cell is a star polychoron with Schläfli symbol {3,5/2,5}. It is one of 10 regular Schläfli Hess polychora.It has the same edge arrangement as the great stellated 120 cell, and grand stellated 120 cell, and… …   Wikipedia

  • Grand 120-cell — In geometry, the grand 120 cell is a star polychoron with Schläfli symbol {5,3,5/2}. It is one of 10 regular Schläfli Hess polychora.It is one of four regular star polychora discovered by Ludwig Schläfli. It is named by John Horton Conway,… …   Wikipedia

  • Grand stellated 120-cell — In geometry, the grand stellated 120 cell is a star polychoron with Schläfli symbol {5/2,5,5/2}. It is one of 10 regular Schläfli Hess polychora.It has the same edge arrangement as the grand 600 cell, icosahedral 120 cell, and the same face… …   Wikipedia

  • Small stellated 120-cell — In geometry, the small stellated 120 cell is a star polychoron with Schläfli symbol {5/2,5,3}. It is one of 10 regular Schläfli Hess polychora.It has the same edge arrangement as the Great grand 120 cell. References * Edmund Hess, (1883)… …   Wikipedia

  • Grand 600-cell — In geometry, the Grand 600 cell is a star polychoron with Schläfli symbol {3,3,5/2}. It is one of 10 regular Schläfli Hess polychora. It is the only one with 600 cells.It is one of four regular star polychora discovered by Ludwig Schläfli. It is… …   Wikipedia

  • Great 120-cell — In geometry, the great 120 cell is a star polychoron with Schläfli symbol {5,5/2,5}. It is one of 10 regular Schläfli Hess polychora.It has the same edge arrangement as the 600 cell, icosahedral 120 cell as well as the same face arrangement as… …   Wikipedia

  • Great grand stellated 120-cell — In geometry, the great grand stellated 120 cell is a star polychoron with Schläfli symbol {5/2,3,3}. It is one of 10 regular Schläfli Hess polychora. It is unique among the 10 for having 600 vertices, and has the same vertex arrangement as the… …   Wikipedia

  • Icosahedral 120-cell — In geometry, the icosahedral 120 cell is a star polychoron with Schläfli symbol {3,5,5/2}. It is one of 10 regular Schläfli Hess polychora.It is constructed by 5 icosahedra around each edge in a pentagrammic figure. The vertex figure is a great… …   Wikipedia

  • Schläfli–Hess polychoron — The great grand 120 cell, one of ten Schläfli–Hess polychora by orthographic projection. In four dimensional geometry, Schläfli–Hess polychora are the complete set of 10 regular self intersecting star polychora (four dimensional polytopes). They… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”