Regular polygonal systems

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Title:	Regular polygonal systems
Authors:	ID Kovič, Jurij (Author)
Files:	RAZ_Kovic_Jurij_i2019.pdf (353,82 KB) MD5: 7E803832D0A98FADC35D3F9BA5C1B240
Language:	English
Work type:	Unknown
Typology:	1.01 - Original Scientific Article
Organization:	ZUP - University of Primorska Press
Keywords:	regular polygonal system, boundary code, face vector, symmetry group, reconstructibility from the boundary
Year of publishing:	2019
Number of pages:	str. 157-171
Numbering:	Vol. 16, no. 1
PID:	20.500.12556/RUP-17633
UDC:	519.147
ISSN on article:	1855-3966
DOI:	10.26493/1855-3974.997.7ef
COBISS.SI-ID:	18582105
Publication date in RUP:	03.01.2022
Views:	1460
Downloads:	18
Metadata:
:	KOVIČ, Jurij, 2019, Regular polygonal systems. Ars mathematica contemporanea [online]. 2019. Vol. 16, no. 1, p. 157–171. [Accessed 5 April 2025]. DOI 10.26493/1855-3974.997.7ef. Retrieved from: https://repozitorij.upr.si/IzpisGradiva.php?lang=eng&id=17633 Copy citation

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Title:	Ars mathematica contemporanea
Publisher:	Društvo matematikov, fizikov in astronomov, Društvo matematikov, fizikov in astronomov, Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije
ISSN:	1855-3966
COBISS.SI-ID:	239049984

Language:	Slovenian
Title:	Pravilni večkotniški sistemi
Abstract:	Naj bo $M = M(\Omega)$ poljubno tlakovanje ravninskega večkotniškega območja s pravilnimi večkotniki, med katerimi ni nobenih trikotnikov. Dokažemo, da so pripadajoči vektor lic $f(M) = (f_{3},f_{4},f_{5}\dots)$ , simetrijska grupa $S(M)$ in samo tlakovanje $M$ enolično določeni z robno kodo $c_{a}(M) = c_{a}(\Omega) = (t_{1},t_{2},\dots, t_{r}$ , cikličnim zaporedjem števil $t_{i}$ , ki opisuje obliko območja $(\Omega)$ .
Keywords:	pravilni večkotniški sistem, robna koda, vektor lic, simetrijska grupa, rekonstruktibilnost iz roba

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