
icosian

ganita saastramlo, icosianlu anevi 600-kanaala maadirigaane samaruupata kaligina hamiltonian quaternianla yokka nirdishta samiti. eee padaanni rendu sambandhita, conny vibhinnamaina bhaavanalanu suuchimchadaaniki upayoginchavachhuh
unit icosianlu.
icosian samuuhaanni yerparuchukune 120 unitla icosianlu, annee kooda eee krindi vaati yokka kramaparivartanaluh
eee sandarbhamlo, vector ("a", "b", "c", "d") anedi "a" + "b +" cj + "d" k "anae chatushpadaanni suuchistumdi, mariyu φ anedi bangaaru nishpattini (+ 1)/2nii suuchistumdi. eee 120 vahakalu 14400 kramamlo unna vail samuuhamtoe, h4 muula vyavasthanu yerparustaayi. 600-kanam yokka sheershaalanu yerparustunna 120 unitla icosianlatho paatu, pramaanam 2 yokka 600 icosianlu 120-kanam yokka sheershaalanu yerparustaayi. icosians yokka itara upa samuuhaalu tesseract, 16-kanaalu mariyu 24-kanaalaku anugunamgaa untaayi.
icosian ring.
icosianlu "bangaaru kshetram", ("a" + "b") + ("c" + "d") i + ("e" + "f") j + ("g" + "h") k loe untaaru, ikkada enimidi chararaasulu hetubaddha sankhyalu. vector ("a", "b", "c", "d", "e", "f", "g", "h") oka jaalakampai oka binduvu ayithe eee chatushkonamu oka icosian matrame, idhi oka e8 jaalakaaniki isomorphicga untundi.
marinta khachitamgaa, paina perkonna moolakam yokka quaternian pramaanam ("a" + "b") 2 + ("c" + "d") 2 + ("e" + "f") 2 + ("g" + "h") 2. quaternian pramaanam "u" + "v" ayithe daani euclidean pramaanam "u" + "v" gaa nirvachinchabadutundi. eee euclidean pramaanam "l" paie oka chaturasraakaara roopaanni nirvachistundi, dheeni kinda jaalakam e8 jaalakaaniki isomorphicga untundi.
eee nirmaanam cauxeter group formula _ 1 formula _ 2 yokka upasamuuhamgaa ponduparachabadindani choopistundi. vaastavaaniki, quaternian pramaanaanni samrakshinche leanier isomorphism kooda euclidean pramaanaanni samrakshistundi.

