A penteract or decateron is the 5 dimensional hypercube. Its bowers acronym is pent. It is also called a geoteron. It can be considered to be a prism with a tesseract as the base.

Structure and Sections

The penteract is a tesseractic prism, and its main section sequence is an unchanging tesseract.



Zeroth First Second Third Fourth Fifth Sixth Seventh Eighth Ninth Tenth Eleventh Twelfth Thirteenth Fourteenth Fifteenth Sixteenth ... Omegath
Simplex Point Line segment Triangle Tetrahedron Pentachoron Hexateron Heptapeton Octaexon Enneazetton Decayotton Hendecaxennon Dodecadakon Tridecahendon Tetradecadokon Pentadecatradakon Hexadecatedakon Heptdecapedakon ... Omegasimplex
Hypercube Point Line segment Square Cube Tesseract Penteract Hexeract Hepteract Octeract Enneract Dekeract Hendekeract Dodekeract Tridekeract Tetradekeract Pentadekeract Hexadekeract ... Omegeract
Cross Point Line segment Square Octahedron Hexadecachoron Pentacross Hexacross Heptacross Octacross Enneacross Dekacross Hendekacross Dodekacross Tridekacross Tetradekacross Pentadekacross Hexadekacross ... Omegacross
Hyperball Point Line segment Disk Ball Gongol Pentorb Hexorb Heptorb Octorb Enneorb Dekorb Hendekorb Dodekorb Tridekorb Tetradekorb Pentadekorb Hexadekorb ... Omegaball
\{2,3,3,3\} \{3,3,3,3\} \{4,3,3,3\} \{5,3,3,3\}
Pentachoric hosoteron Hexateron Penteract Order-3 hecatonicosachoric tetracomb
\{4,3,3,2\} \{4,3,3,3\} \{4,3,3,4\} \{4,3,3,5\}
Tesseractic diteron Penteract Tesseractic tetracomb Order-5 tesseractic tetracomb

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