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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.

Penteract Rubik's cubes can found online, but cannot be built in our world of limitations.

Structure and Sections

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

Hypervolumes

Subfacets

Dimensionality Negative First Zeroth First Second Third Fourth Fifth Sixth Seventh Eighth Ninth Tenth Eleventh Twelfth Thirteenth Fourteenth Fifteenth Sixteenth ... Omegath
Simplex

\{3^{n-1}\}

Null polytope

\emptyset

Point

()
\mathbb{B}^0

Line segment

\{\}
\mathbb{B}^1

Triangle

\{3\}

Tetrahedron

\{3^2\}

Pentachoron

\{3^3\}

Hexateron

\{3^4\}

Heptapeton

\{3^5\}

Octaexon

\{3^6\}

Enneazetton

\{3^7\}

Decayotton

\{3^8\}

Hendecaxennon

\{3^9\}

Dodecadakon

\{3^{10}\}

Tridecahendon

\{3^{11}\}

Tetradecadokon

\{3^{12}\}

Pentadecatradakon

\{3^{13}\}

Hexadecatedakon

\{3^{14}\}

Heptdecapedakon

\{3^{15}\}

... Omegasimplex

\{3^{\aleph_0}\}

Cross

\{3^{n-2},4\}

Square

\{4\}

Octahedron

\{3, 4\}

Hexadecachoron

\{3^2, 4\}

Pentacross

\{3^3, 4\}

Hexacross

\{3^4, 4\}

Heptacross

\{3^5, 4\}

Octacross

\{3^6, 4\}

Enneacross

\{3^7, 4\}

Dekacross

\{3^8, 4\}

Hendekacross

\{3^9, 4\}

Dodekacross

\{3^{10}, 4\}

Tridekacross

\{3^{11}, 4\}

Tetradekacross

\{3^{12}, 4\}

Pentadekacross

\{3^{13}, 4\}

Hexadekacross

\{3^{14}, 4\}

... Omegacross

\{3^{\aleph_0}, 4\}

Hydrotopes

\{3^{n-2}, 5\}

Pentagon

\{5\}

Icosahedron

\{3, 5\}

Hexacosichoron

\{3^2, 5\}

Order-5 pentachoric honeycomb

\{3^3, 5\}

Hypercube

\{4, 3^{n-2}\}

Square

\{4\}

Cube

\{4, 3\}

Tesseract

\{4, 3^2\}

Penteract

\{4, 3^3\}

Hexeract

\{4, 3^4\}

Hepteract

\{4, 3^5\}

Octeract

\{4, 3^6\}

Enneract

\{4, 3^7\}

Dekeract

\{4, 3^8\}

Hendekeract

\{4, 3^9\}

Dodekeract

\{4, 3^{10}\}

Tridekeract

\{4, 3^{11}\}

Tetradekeract

\{4, 3^{12}\}

Pentadekeract

\{4, 3^{13}\}

Hexadekeract

\{4, 3^{14}\}

... Omegeract

\{4, 3^{\aleph_0}\}

Cosmotopes

\{5, 3^{n-2}\}

Pentagon

\{5\}

Dodecahedron

\{5, 3\}

Hecatonicosachoron

\{5, 3^2\}

Order-3 hecatonicosachoric honeycomb

\{5, 3^3\}

Hyperball

\mathbb B^n

Disk

\mathbb B^2

Ball

\mathbb B^3

Gongol

\mathbb B^4

Pentorb

\mathbb B^5

Hexorb

\mathbb B^6

Heptorb

\mathbb B^7

Octorb

\mathbb B^8

Enneorb

\mathbb B^9

Dekorb

\mathbb B^{10}

Hendekorb

\mathbb B^{11}

Dodekorb

\mathbb B^{12}

Tridekorb

\mathbb B^{13}

Tetradekorb

\mathbb B^{14}

Pentadekorb

\mathbb B^{15}

Hexadekorb

\mathbb B^{16}

... Omegaball

\mathbb B^{\aleph_0}

\{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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