
fraze group

ganita saastramlo, oka fraze ledhaa fraze namuunaa anedi oka disalo punaraavrutamayye dvi-miteeya roopakalpana. ituvanti namuunaalu vaastusilpam mariyu alankaara kalalo tarachugaa sambhavistaayi. fraze namuunaalanu vaati samaruupatala prakaram edu rakaluga vargeekarinchavachhu. fraze namuunaa yokka samaruupatala samitini fraze samuuham antaaru.
fraze samuuhaalu anevi rendu dimensional line samuuhaalu, ivi oke disalo punaraavrutamavutaayi. avi rendu disalalo punaraavrutamayye namuunaalanu vargeekarinche marinta sanklishtamaina walpaper samuuhaalaku mariyu moodu disalalo punaraavrutamayye namuunaalanu vargeekarinche sphatikaala samuuhaalaku sambandhinchinavi.
general.
adhikarikamga, oka fraze samuuham anedi oka pattipai (anantamaina vedalpu gala deerghachaturasram) anantamaina vivikta samaruupata samuuhaala namuunaala taragati, anduvalla vimanam yokka isometryla samuuhaala taragati, ledhaa oka patti. oka fraze samuuham yokka samaruupata samuuham tappanisarigaa anuvaadaalanu kaligi untundi mariyu glide pratibimbaalu, strip yokka podavaina aksham venta pratibimbaalu, strip yokka irukaina aksham venta pratibimbaalu mariyu 180° bhramanaalanu kaligi undavacchu. saaraamsa pattikalo jabita cheyabadina edu fraze samuuhaalu unnaayi. chaalaa mandhi rachayitalu fraze samuuhaalanu vaerae kramamlo pradarsistaaru.
oka fraze samuuhamlooni vaastava samaruupata samuuhaalu atichinna anuvaada dhooram dwara vargeekarinchabadataayi, mariyu, niluvu rekha pratibimbam ledhaa 180° bhramanam (samuuhaalu 2,5,6, mariyu 7) thoo unna fraze samuuhaalaku, pratibimbam aksham ledhaa bhramana binduvunu gurtinche shift paramiti dwara vargeekarinchabadataayi. samatalamloni samaruupata samuuhaala vishayamlo, adanapu paaraamitulu anuvaada vector yokka dhisha, mariyu, kshitija samaantara rekha pratibimbam, glide pratibimbam ledhaa 180 ° bhramanam (samuuhaalu 3-7) thoo kuudina fraze samuuhaalaku, pratibimbam aksham yokka sthaanam ledhaa anuvaada vektarku lambamgaa unna disalo bhramana binduvu. anduvalla group 1kii rendu degreela swechcha undhi, 2,3 mariyu 4 groupulaku moodu, mariyu 5,6 mariyu 7 groupulaku naalugu degreela swechcha undhi.
edu fraze samoohaalalo rendintiki (samuuhaalu 1,4) samaruupata samuuhaalu ontarigaa utpatti cheyabadataayi, naalugu (samuuhaalu 2,3,5 mariyu 6) vatiki oka jatha generatorlu untaayi, mariyu samuuha 7kii samaruupata samuuhaalaku moodu generatorlu avasaram. fraze samuuham 1,2,3 ledhaa 5 looni samaruupata samuuham anedi adhe anuvaada dhooram kaligina chivari fraze samuuhamlooni samaruupata samuuham yokka upa samuuham. fraze group 4 ledhaa 6 looni cemetry group anedi chivari fraze grouploni "sagam" anuvaada dhooramtho unna cemetry group yokka upagroop. eee chivari fraze samuuhamloo chukkala varusa ayina strip (ledhaa plain) looni saralamaina aavartana namuunaala samaruupata samuuhaalu untaayi. eee namuunaanu asthiramgaa vadilivese plain yokka edainaa parivartananu anuvaadamgaa vichchinnam cheyavachu, aichhikamgaa kshitija samaantara aksham ledhaa niluvu akshamlo pratibimbam dwara anusarinchavacchu, eee aksham rendu chukkala dwara ledhaa madhyalo enchukobadi unte, ledhaa 180° dwara bhramanam, (ditto). anduvalla, oka vidhamgaa, eee fraze samuuhamloo "atipedda" samaruupata samuuhaalu untaayi, ivi atuvanti parivartanalannintini kaligi untaayi.
vivikta" sharatu cherchadam antey anni anuvaadaalanu kaligi unna samuuhaanni mariyu ekapakshamgaa chinna anuvaadaalanu kaligi unna samuuhaalanu (udhaa.zii. hetubaddhamaina dhooraala dwara kshitija samaantara anuvaadaala samuuham). scaling mariyu shifting kakunda, anantamaina aneka kesulu unnaayi, udhaa.zii. icchina pradhana sankhya yokka ghaataanka sankhyalanu pariganaloki teesukovadam dwara, veetilo denaminatorlu powers.
anantamaina" sharatu cherchadam antey anuvaadaalu laeni samuuhaalanu minahayinchadamha
edu fraze samuuhaala vivarana.
anuvaadam, pratibimbam (adhe aksham venta) mariyu 180° bhramanam dwara utpatti cheyabadina vivikta fraze samuuhamloo edu vibhina upa samuuhaalu (namuunaala scaling mariyu shifting varaku) unnaayi. eee upa samoohaalalo prati okkati oka fraze namuunaa yokka samaruupata samuuham, mariyu namuunaa namuunaalu anjooramlo chuupabadataayi. 1. edu ververu samuuhaalu "n" = φ thoo moodu kolatalalo 7 anantamaina aksha binduvula samuuhaalaku anugunamgaa untaayi.
herman-mouguin sangnaamaanam (ledhaa iuc sangnaamaanam), cauxeter sangnaamaanam, sconeflies sangnaamaanam, kakshyala sangnaamaanam, ganita shaastravetta zaan hetch srushtinchina maaruperlu upayoginchi avi diguva pattikalo gurtinchabaddaayi. kanve, mariyu chivaraku anuvaadam, pratibimbaalu mariyu bhramanaala paramgaa vivarana.
edu fraze samoohaalalo, isomorphism varaku naalugu matrame unnaayi. rendu ekamgaa utpatti cheyabadataayi mariyu suutram _ 1kii isomorphicga untaayi; vaatilo naalugu rettimpu utpatti cheyabadataayi, veetilo okati abelian mariyu moodu naan-abelian mariyu ananta diheadral samuuham ayina suutram _ 2kii isomorphic; mariyu vaatilo okadaaniki moodu generatorlu untaayi.
jaalaka rakaalu valuga mariyu deerghachaturasraakaaramgaa untaayi.
samuuhaalanu vaati dvi-miteeya grid ledhaa jaalakapu rakanni batti vargeekarinchavachhu. jaalakam valuga undatam antey rendava dhisha punaraavruta disaku "artogonalga undavalasina avasaram ledhu".
web demo mariyu software.
fraze samuuhaalanu upayoginchi 2dii namuunaalanu roopondinche software graphic sadhanalu unnaayi. saadhaaranamgaa, asalu strip yokka savaranalaku pratispandanagaa mottam namuunaa svayamchaalakamgaa naveekarinchabadutundi.

