This page contains a list of names for n-D polytopes, such as polyhedron for 3-D. The names

**Null polytope** - -1 dimensions, sometimes called "the essence" of a polytope.

**Monad** - 0 dimensions, shows up as vertices of other polytopes.

**Polytelon** - 1 dimension - only uniform member is the ditelon which is also called ditel and dyad - or just plain line segment - found as edges.

**Polygon** - 2 dimensions - examples are triangle, square, and pentagon - found as faces.

**Polyhedron** - 3 dimensions - examples are tet, oct, and gaquatid - found as cells of higher polytopes.

**Polychoron** - 4 dimensions - found as terons.

**Polyteron** - 5 dimensions - first called polytetron.

**Polypeton** - 6 dimensions - first called polypenton - one of my favorites is the Gosset polypeton with 27 vertices which I call Jak.

**Polyecton** - 7 dimensions - first called polyhexon and then polyexon.

**Polyzetton** - 8 dimensions - the most famous one is Fy - it is the Gosset polytope with 240 vertices.

**Polyyotton** - 9 dimensions - this dimension has interesting powertopes.

**Polyxennon** - 10 dimensions - xenna being a play on ennea (which means 9).

**Polydakon** - 11 dimensions.

**Polyhendon** - 12 dimensions - henda being a shortened form of hendeca.

**Polydokon** - 13 dimensions - it's amazing how little we hear of 13 dimensional shapes - so here's an example - the tetradecadokon - the 13-simplex.

**Polytradakon** - 14 dimensions.

**Polytedakon** - 15 dimensions - once called polyteradakon.

**Polypedakon** - 16 dimensions - once called polypetadakon.

**Polyexdakon** - 17 dimensions.

**Polyzedakon** - 18 dimensions.

**Polyyodakon** - 19 dimensions.

**Polynedakon** - 20 dimensions - once called polyxendakon

**Polyicon** - 21 dimensions. - pronounced (POL ee I con), not (poll YIC un).

**Polyikenon** - 22 dimensions.

**Polyicodon** - 23 dimensions.

**Polyictron** - 24 dimensions - the Leech polytope is a famous polyictron - which I suspect may be scaliform.

**Polyicteron** - 25 dimensions - fun powertopes here!

**Polyicpeton** - 26 dimensions.

**Polyikecton** - 27 dimensions.

**Polyiczeton** - 28 dimensions - once called polyiczetton.

**Polyikyoton** - 29 dimensions - once called polyikyotton.

**Polyicxenon** - 30 dimensions - once called polyicxennon.

**Polytracon** - 31 dimensions, change tracon to trakenon, tracodon, tractron, tracteron, tracpeton, trakecton, traczeton, trakyoton, and tracxenon - to go from 32 to 40 dimensions.

**Polytecon** - 41 dimensions, like above - change the "tra" to "te" - for example if you went to the 45th dimension, you could hold a uniform polytecteron. - once called polyteracon.

**Polypecon** - 51 dimensions. - originally called polypetacon.

**Polyexacon** - 61 dimensions - pronounced (POL ee EX a con). - *for the Metal Gear Solid fans out there "I need scissors, polyexacon" - I just had to say that :)*

**Polyzacon** - 71 dimensions.

**Polyyocon** - 81 dimensions - *nightmare homework assignment - list all of the uniform polyyoca!!*

**Polynecon** - 91 dimensions.

**Polynecxenon** - 100 dimensions - once called polyxencxennon.

**Polyhoton** - 101 dimensions - hota is a play on hecaton.

**Polyhotenon** - 102 dimensions - continue with hotodon, hotron, hoteron, hopeton, hotecton, hozeton, hoyoton, and hoxenon to get to 110 dimensions.

**Polyhodakon** - 111 dimensions - continue with hotendon, hodokon, hotradakon, hotedakon, hopedakon, hotexdakon, hozedakon, hoyodakon, honedakon to get to 120 dimensions.

**Polyhoticon** - 121 dimensions.

**Polyhotracon** - 131 dimensions - continue with polyhotecon (141-D), polyhopecon (151-D), polyhotexacon (161), polyhozacon (171), polyhoyocon (181), and polyhonecon (191).

**Polydoton** - 201 dimensions - guess what polydozedakon means? - answer 218 dimensional polytope.

**Polytroton** - 301 dimensions.

**Polytoton** - 401 dimensions - once called polyteroton.

**Polypoton** - 501 dimensions - once called polypetoton.

**Polyexoton** - 601 dimensions.

**Polyzoton** - 701 dimensions.

**Polyyooton** - 801 dimensions.

**Polynoton** - 901 dimensions - once called polyxenoton.

**Polynonecxenon** - 1000 dimensions. - *Also the name for a xenon breathing parrot which has no neck - NOT!*

**Polykalon** - 1001 dimensions - once called polykillon.

**Polykalenon** - 1002 dimensions - continue with kalodon, kaltron, kalteron, kalpeton, kalecton, kalzeton, kalyoton, kalxenon (1010), keep on going with kaldakon, kalhendon, kaldokon, kaltradakon, kaltedakon, kalpedakon, kalexdakon, kalzedakon, kalyodakon, kalnedakon (1020).

**Polykalicon** - 1021 dimensions - continue with kaltracon (1031), kaltecon (1041), kalpecon (1051), kalexacon (1061), kalzacon (1071), kalyocon (1081), and kalnecon (1091).

**Polykalhoton** - 1101 dimensions - continue with kaldoton (1201), kaltroton (1301), kaltoton (1401), kalpoton (1501), kalexoton (1601), kalzoton (1701), kalyooton (1801), and kalnoton (1901).

**Polydalon** - 2001 dimensions - a 2006 dimensional polytope would be a polydalpeton.

**Polytralon** - 3001 dimensions.

**Polytalon** - 4001 dimensions - continue with palon (5001), exalon (6001), zalon (7001), yalon (8001), and nalon (9001).

**Polydakalon** - 10,001 dimensions - continue with hendalon, dokalon, tradakalon, tedakalon, pedakalon, exdakalon, zedakalon, yodakalon, and nedakalon - each 1000 dimensions apart - so a polynedakalon is 19,001 dimensional.

**Polyicalon** - 20,001 dimensions - continue with ikenalon, icodalon, ictralon, ictalon, icpalon, ikexalon, iczalon, ikyalon, and icnalon - 1000 dimensions apart.

**Polytrakalon** - 30,001 dimensions.

**Polytecalon** - 40,001 dimensions - continue with pecalon, exacalon, zacalon, yokalon, and necalon - 10,000 dimensions apart.

**Polyhotalon** - 100,001 dimensions.

**Polymejon** - 1,000,001 dimensions - once called polymegon - but the -gon ending can be confusing - continue with dejon, trejon, tejon, pejon, exejon, zejon, yejon, and nejon - 1 million dimensions apart.

**Polydakejon** - 10,000,001 dimensions - continue with ikejon, trakejon, tekejon, pekejon, exakejon, zakejon, yokejon, and nakejon - 10 million dimensions apart.

**Polyhotejon** - 100,000,001 dimensions.

**Polygijon** - 1,000,000,001 dimensions - once called polygigon - but changed due to the -gon ending - continue with dijon, trijon, tijon, pijon, exijon, zijon, yijon, and nijon - 1 billion dimensions apart.

**Polydakijon** - 10,000,000,001 dimensions

**Polyhotijon** - 100,000,000,001 dimensions.

**Polyaston** - 1 trillion 1 dimension - asti short for asteroid - which probably weighs about a trillion kilotons.

**Polylunon** - 1 quadrillion 1 dimensions - luni comes from lunar.

**Polyfirmon** - 1 quintillion 1 dimensions - firmi comes from terra firma - or Earth.

**Polyjovon** - 1 sextillion 1 dimensions - jovi represents Jupiter.

**Polysolon** - 1 septillion 1 dimensions - soli represents Sol - the sun.

**Polybeton** - 1 octillion 1 dimensions - bet short for Betelgeuse.

**Polyglocon** - 1 nonillion 1 dimensions - gloc short for globular cluster.

**Polygaxon** - 1 decillion 1 dimensions - gax short for galaxy - *Not to be confused with the polychoron gax*.

**Polysupon** - 1 undecillion 1 dimensions - sup for super cluster. - *Just coined this one and the two below.*

**Polyverson** - 1 dodecillion 1 dimensions - vers for universe.

**Polymulton** - 1 tridecillion 1 dimensions - multi for multiverse.

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