Vizualizacija pakiranja sfera i horosfera povezanih s Coxeterovim popločavanjem krnjim ortoshemama paralelnih strana

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Vizualizacija pakiranja sfera i horosfera povezanih s Coxeterovim popločavanjem krnjim ortoshemama paralelnih strana

Yahya, Arnasli; Szirmai, Jenő

KoG, 12/2021, Volume: 25, Issue: 25

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U ovom radu opisujemo i vizualiziramo najgušće konguracije pakiranja sfera i horosfera na krnjim 3-dimenzionalnim hiperboličnim Coxeterovim ortoshemama s paralelnim stranama, koristeći rezultate 24. Ovi lijepi rasporedi pakiranja opisuju i pokazuju vrlo zanimljivu strukturu spomenutih ortoshema i odgovarajuće Coxeterove zrcalne grupe. Koristimo sferni Beltrami-Cayley-Kleinov model 3-dimenzionalnog hiperboličnog prostora H^3. Slike su izrađene programskim jezikom Python.

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Yahya, Arnasli | Szirmai, Jenő

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