820 KB26 KB200820252016Avelino, Catarina P.Santos, Altino F.številka:1letnik:11str. 59-78COBISSID:17840985ISSN:1855-3966URN:URN:NBN:SI:doc-TDLCUVZTenUniverza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologijeArs mathematica contemporaneacombinatorial propertiesdiedrska f-tlakovanjadihedral f-tilingskombinatorične lastnostisferična trigonometrijasimetrijske grupespherical trigonometrysymmetry groupsSpherical folding tessellations by kites and isosceles triangles IV|The classification of the dihedral folding tessellations of the sphere and the plane whose prototiles are a kite and an equilateral triangle were obtained in C. Avelino and A. Santos, Spherical and planar folding tessellations by kites and equilateral triangles, Australasian Journal of Combinatorics, 53 (2012), 109-125. Recently, this classification was extended to isosceles triangles so that the classification of spherical folding tesselations by kites and isosceles triangles in three cases of adjacency was presented in C. Avelino and A. Santos, Spherical Folding Tessellations by Kites and Isosceles Triangles: a case of adjacency, Mathematical Communications, 19 (2014), 1-28; C. Avelino and A. Santos, Spherical Folding Tessellations by Kites and Isosceles Triangles II, International Journal of Pure and Applied Mathematics, 85 (2013), 45-67; C. Avelino and A. Santos, Spherical Folding Tessellations by Kites and Isosceles Triangles III, submitted. In this paper we finalize this classification presenting all the dihedral folding tessellations of the sphere by kites and isosceles triangles in the remaining three cases of adjacency, that consists of five sporadic isolated tilings. A list containing these tilings including its combinatorial structure is also presentedKlasifikacija diedrskih tllakovanj sfere in ravnine, katerih osnovna gradnika sta deltoid in enakostraničen trikotnik, je bila narejena v C. Avelino and A. Santos, Spherical and planar folding tessellations by kites and equilateral triangles, Australasian Journal of Combinatorics, 53 (2012), 109-125.. Nedavno je bila ta klasifikacija razširjena na enakokrake trikotnike, tako da je bila klasifikacija sferičnih tlakovanj z deltoidi in enakokrakimi trikotniki v treh primerih sosednosti predstavljena v C. Avelino and A. Santos, Spherical Folding Tessellations by Kites and Isosceles Triangles: a case of adjacency, Mathematical Communications, 19 (2014), 1-28.; C. Avelino and A. Santos, Spherical Folding Tessellations by Kites and Isosceles Triangles II, International Journal of Pure and Applied Mathematics, 85 (2013), 45-67.; C.Avelino and A.Santos, Spherical Folding Tessellations by Kites and Isosceles Triangles III, submitted.. V tem članku dokončamo to klasifikacijo in predstavimo vsa diedrska tlakovanja sfere z deltoidi in enakokrakimi trikotniki v preostalih treh primerih sosednosti, ki sestoje iz petih dodatnih izoliranih tlakovanj. Seznam, ki vsebuje ta tlakovanja vključno z njihovo kombinatorično strukturo, je predstavljen na koncu člankaTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije