Marele 120-celule icosaedric

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Marele 120-celule icosaedric
Proiecție ortogonală
Tip	Politop Schläfli–Hess
Simbol Schläfli	{3,5/2,5}
Diagramă Coxeter
Celule	120 {3,5/2}
Fețe	720 {3}
Laturi	720
Vârfuri	120
Figura vârfului	{5/2,5}
Grup Coxeter	H₄, [3,3,5]
Dual	marele larg 120-celule
Proprietăți	regulat

În geometrie marele 120-celule icosaedric sau marele icosaplex este un politop cvadridimensional stelat regulat. Cele 120 de celule ale sale sunt mari icosaedre. Are 120 de vârfuri, 720 de laturi și 720 de fețe. Are simbolul Schläfli {3,5/2,5}. Este unul dintre cele 10 politopuri Schläfli–Hess regulate.

Politopuri înrudite

Are același aranjament al laturilor ca și micul 120-celule stelat și largul 120-celule stelat, și același aranjament al fețelor cu 600-celule.

Proiecții ortogonale în planele Coxeter
H₃	A₂ / B₃ / D₄	A₃ / B₂

Împreună cu dualul său formează compusul de marele larg 120-celule cu marele 120-celule icosaedric

Bibliografie

de Edmund Hess, (1883) Einleitung in die Lehre von der Kugelteilung mit besonderer Berücksichtigung ihrer Anwendung auf die Theorie der Gleichflächigen und der gleicheckigen Polyeder [1].
en H. S. M. Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. ISBN: 0-486-61480-8.
en John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN: 978-1-56881-220-5 (Chapter 26, Regular Star-polytopes, pp. 404–408)
en Klitzing, Richard. „4D uniform polytopes (polychora) x3o5/2o5o - gofix”.

Vezi și

4-politopuri convexe regulate - Mulțimea 4-politopurilor convexe regulate
Poliedre Kepler–Poinsot – poliedre stelate regulate
Poligon stelat – poligoane stelate regulate

Legături externe

en Regular polychora Arhivat în 6 septembrie 2003, la Wayback Machine.
en Discussion on names
de Reguläre Polytope
en The Regular Star Polychora

Portal Matematică

4-politopuri regulate

Convexe

5-celule	8-celule	16-celule	24-celule	120-celule	600-celule

{3,3,3} 4-simplex	{4,3,3} 4-cub, tesseract	{3,3,4} 4-ortoplex	{3,4,3} octaplex	{5,3,3} dodecaplex	{3,3,5} tetraplex

Stelate

120-celule icosaedric	micul 120-celule stelat	marele 120-celule	largul 120-celule	marele 120-celule stelat	largul 120-celule stelat	marele larg 120-celule	marele 120-celule icosaedric	largul 600-celule	marele larg 120-celule stelat

{3,5,5/2} icosaplex	{5/2,5,3} dodecaplex stelat	{5,5/2,5} marele dodecaplex	{5,3,5/2} largul dodecaplex	{5/2,3,5} marele dodecaplex stelat	{5/2,5,5/2} largul dodecaplex stelat	{5,5/2,3} marele larg dodecaplex	{3,5/2,5} marele icosaplex	{3,3,5/2} largul tetraplex	{5/2,3,3} marele larg dodecaplex stelat

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