Matematično ozadje Pyraminxa [Elektronski vir] = Mathematical background of Pyraminx : magistrsko delo
Urbančič, Katarina, poučevanje
V 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, serious
Publication and manufacture - Ljubljana : [K. Urbančič], 2023
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