The story of the 120-cell in ℝ 4

John Stillwell

Pokroky matematiky, fyziky a astronomie (2001)

  • Volume: 46, Issue: 4, page 265-280
  • ISSN: 0032-2423

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Stillwell, John. "Příběh stodvacetistěnu v ${\mathbb {R}}^4$." Pokroky matematiky, fyziky a astronomie 46.4 (2001): 265-280. <http://eudml.org/doc/196971>.

@article{Stillwell2001,
author = {Stillwell, John},
journal = {Pokroky matematiky, fyziky a astronomie},
keywords = {regular polytope; four-dimensional space; quaternion},
language = {cze},
number = {4},
pages = {265-280},
publisher = {Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists},
title = {Příběh stodvacetistěnu v $\{\mathbb \{R\}\}^4$},
url = {http://eudml.org/doc/196971},
volume = {46},
year = {2001},
}

TY - JOUR
AU - Stillwell, John
TI - Příběh stodvacetistěnu v ${\mathbb {R}}^4$
JO - Pokroky matematiky, fyziky a astronomie
PY - 2001
PB - Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists
VL - 46
IS - 4
SP - 265
EP - 280
LA - cze
KW - regular polytope; four-dimensional space; quaternion
UR - http://eudml.org/doc/196971
ER -

References

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  10. Klein, F., Fricke, R., Vorlesungen über die Theorie der elliptischen Modulfunktionen, Teubner, Leipzig 1890. (1890) 
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  12. Poincaré, H., Cinquième complément à la analysis situs, Rend. Circ. Mat. Palermo 18 (1904), 45–110. (1904) Zbl35.0504.13
  13. Schläfli, L., Theorie des vielfachen Kontinuität, Aufträge der Denkschriften-Kommission der Schweizer naturforschender Gesellschaft, Zurcher & Furrer 1901. (1901) Zbl32.0083.10
  14. Steinitz, E., Polyeder und Raumeinteilungen, Encyklopädie Math. Wissenschaften, III AB 12, Teubner, Leipzig 1916, 1–139. (1916) 
  15. Stringham, W. I., Regular figures in n -dimensional space, Amer. J. Math. 3 (1880), 1–14. (1880) Zbl12.0405.01MR1505244
  16. Sullivan, J. M., Generating and rendering four-dimensional polytopes, The Mathematical Journal 1 (1991), 76–85. (1991) 
  17. Taylor, J., The structure of singularities in soap-bubble-like and soup-film-like minimal surfaces, Ann. of Math. 103 (1976), 489–539. (1976) Zbl0335.49032MR0428181
  18. Threlfall, W., Lösung der Aufgabe 84, Jahresber. Deutsch. Math. Verein. 41 (1932), 6–7. (1932) 
  19. Threlfall, W., Seifert, H., Topologische Untersuchung der Diskontinuitätsbereiche endlicher Bewegungsgruppen des dreidimensionalen sphärischen Raumes, Math. Ann. 104 (1931), 1–70. (1931) Zbl0006.03403MR1512649
  20. Weber, C., Seifert, H., Die beiden Dodekaederräume, Math. Z. 37 (1933), 237–253. (1933) Zbl0007.02806MR1545392

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