
gyrobifastigium

jyaamiti mein, gyrobifastigium 26vaan johnson solid () haye. iska nirmaan dou chehare-niyamit trikoniya prism koo sambandhit vargakar cheharon key saath jodkar kiya jaa sakata haye, jisase ack prism koo ack chauthai modd milata haye. yeh ekmatra johnson thhos haye joe tri-ayami sthaan koo tyle curr sakata haye.
yeh gair-samaan jodeevaad (yadi aur 2 seey adhik hain) kaa sheersh aakriti bhee haye. iss tathya key bavjood kii johnson thhos key samatulya jyaamitiya roop seey samaan hoga, isamen ack paridhiya gole kaa abhaav haye joe sabhi sheershon koo chhoota haye, sivaay usa mamle key joe ack samaan mahaan yugalvaad kaa pratinidhitva kartaa haye.
iska dohra, lamba tetragonal dispanoid, yugal-dwaiton kii koshikaon key roop mein paaya jaa sakata haye.
itihas aur naam.
gyrobifastigium kaa naam lattin "fastigium" seey aaya haye, jiska arth haye ack dhalaan vaali chhat. johnson thhos padarthon key maanak namkaran parampara mein, "dwi-" kaa arth haye dou thhos joe unake aadhar parr judey hue hain, aur "jairo-" kaa arth haye kii dou aadhe ack dusare key sambandh mein mudey hue hain.
bicopolas seey thheek pahale, johnson thhos padarthon kii soochi mein gyrobifastigium key sthaan koo "diagonal gyrobicupola" key roop mein dekhkar samajhaaya jaataa haye. jiss tarah anya niyamit kapolon mein sheersh parr ack ekal bahubhuj (trikon, varg yaa panchbhuj) key chaaron or vargon aur trikonon kaa ack baari-baari seey anukram hotaa haye, usee tarah gyrobifastigium key pratyek aadhe hisse mein kewal baari-baari seey varg aur trikon hotey hain, joe sheersh parr kewal ack katak dwara judey hotey hain.
madhukosh.
gyrated trikoniya prismatic honeycomb kaa nirmaan badee sankhya mein samaan gyrobifastigium koo ack saath paik karke kiya jaa sakata haye.
gyrobifastigium paanch uttal bahu-paridhiya mein seey ack haye jisamen niyamit chehare antariksh-bharane mein saksham hain (anya ghana, kataa huaa octahedron, trikoniya prism aur shatkon prism hain) aur yeh aisaa karane mein saksham ekmatra johnson thhos haye.
cartasian nirdeshank.
niyamit chehare aur ikai kinare kii lambai key saath gyrobifastigium key liye cartasian nirdeshank aasaani seey ikai kinare kii lambai kii oonchaai key sootra seey praapt kiye jaa sakate hain.
iss prakarah
niyamit chehare aur kinare kii lambai "aeye" key saath ack gyrobifastigium key satah kshetra aur aayatan key liye sootra kii ganana karane key liye, koee bhee trikoniya prism key liye sambandhit sootra koo anukoolit curr sakata haih
sthalshastriya roop seey samatulya polyheadra.
schmitt-conway-danzer dwidaliyata.
schmitt-conway-danzer dwidalata (jise aiss. see. dee. prototyle bhee kahaa jaataa haye) ack bahu-hedron sthalvaigyaanik roop seey gyrobifastigium key barabar haye, lekin varg aur sambahu trikon key bajaay samanantar aur aniyamit trikon key saath haye. gyrobifastigium kii tarah, yeh sthaan koo bhar sakata haye, lekin kewal aperiodic roop seey yaa ack pench samroopata key saath, samroopata key poorna tri-ayami samooh key saath naheen. iss prakaar, yeh tri-ayami einstein samasya kaa aanshik samadhan pradaan kartaa haye.
dohri.
gyrobifastigium key dohare polyhedron key 8 chehare hainh 4 samadvibahu trikon, gyrobifastigium key sanyojakta-3 sheershon key anuroop, aur sanyojakta-4 bhoomadhyarekhiya sheershon key anuroop 4 samanantar.

