Faculty of Education, Lj. (PEFLJ)
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Matematično ozadje Pyraminxa [Elektronski vir] = Mathematical background of Pyraminx : magistrsko deloUrbančič, Katarina, poučevanjeV magistrskem delu bomo opisali matematično ozadje Pyraminxa. To je mehanska uganka v obliki tetraedra, sestavljena iz več kosov, ki jih je mogoče ustrezno premikati. Eden od izzivov, s katerim se ... srečamo pri Pyraminxu, je vprašanje, kako vrniti uganko v svoje izvirno stanje, kjer je na vsaki strani tetraedra vseh devet manjših trikotnikov enake barve. Najti želimo algoritme za reševanje Pyraminxa, zato smo v delu opisali LBL metodo. V nadaljevanju smo se osredotočili na lastnosti grupe pozicij Pyraminxa. Ugotovili bomo, da možne pozicije in povezave med njimi ustrezajo posebni grupni strukturi. Pozicijo Pyraminxa definiramo matematično s trojico (^⃑,^⃑⃑⃑,^), kjer ^⃑ predstavlja orientacijski vektor konic in centrov, ^⃑⃑⃑ orientacijski vektor robov, ^ pa predstavlja permutacijo robnih kosov. Na koncu dokažemo, da je grupa Pyraminxa izomorfna grupi 38×(26⣊^6), in poiščemo nekaj njenih podgrup.Type of material - master's thesis ; adult, seriousPublication and manufacture - Ljubljana : [K. Urbančič], 2023Language - slovenianCOBISS.SI-ID - 157294339
Author
Urbančič, Katarina, poučevanje
Other authors
Starčič, Tadej
Topics
Matematika |
Univerzitetna in visokošolska dela |
Pyraminx |
grupe |
permutacije |
poldirektni produkt grup |
uganke |
Pyraminx |
groups |
permutations |
semi-direct product of groups |
puzzles
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Urbančič, Katarina, poučevanje | |
Starčič, Tadej | 24330 |
Source: Personal bibliographies
and: SICRIS
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