Random list of Bower style acronyms

Discussion of tapertopes, uniform polytopes, and other shapes with flat hypercells.

Random list of Bower style acronyms

Postby ubersketch » Thu Dec 14, 2017 10:55 pm

I decided to make a few Bowers style acronyms. for random topes.

Can be found here: http://hi.gher.space/wiki/List_of_toratopes
    Circle - Circ
    Sphere - Sphe
    Cylinder - Cylin
    Torus - Tor
    Glome - Glome
    Cubinder - Cubin
    Spheritorus - Sphetor
    Duocylinder - Docylin
    Tiger - Tige
    Spherinder - Spherin
    Torisphere - Torsph
    Torinder - Torer
    Ditorus - Ditor
    Pentasphere - Pesphe
    Tesserinder - Tessin
    Toratesserinder - Torat
    Duocyldyinder - Docyer
    Toraduocyldyinder - Tocydi
    Cubspherinder - Cusphin
    Toracubspherinder - Tocubsphe
    Cubtorinder - Cutrin
    Toracubtorinder - Tocubit
    Cylspherinder - Cysph
    Cylspherintigroid - Cyspheg
    Cyltorinder - Cytord
    Cyltorintigroid - Cytorg
    Glominder - Glomer
    Toracubdyinder - Tocubdy
    Cylindrical ditorus - Cydit
    Tigric prism - Tigep
    Tigric torus - Tigor
    Toraspheridyinder - Torsphidyer
    Spheric ditorus - Sphedit
    Ditorinder - Ditorder
    Tritorus - Tritor

Skew Apeirohedra
Can be found here: https://en.wikipedia.org/wiki/Skew_apeirohedron
    Mucube - Mucube
    Muoctahedron - Muoct
    Mutetrahedron - Mutet
    {4,5} 1, Mutricube - Muticub
    {4,5} 2, Muoctahedron with hexagonal prisms - Muoctig
    {3,7}, Muoctaicosahedron - Muoctike
    {3,8} 1, Mutetraoctahedron - Mutetoct
    {3,8} 2, Snub Mucube - Musnic
    {3,9}, Muicosaoctahedron - Muikoct
    {3,12}, Muquadrioctahedron - Muqoct
    Other uniform 1 - Mugircoct - Mucutet - Mugirhip - Muhigirco - Muioct - Mugirhe - Muocube - Musirco - Musquip - Muhip
    Uniform Boerdijk–Coxeter helix - Bocolix
    Stack of cubes - Stac

Other rotopes
Can be found here: http://hi.gher.space/wiki/List_of_rotopes
    Bicylinder, Crind - Crin
    Tricylinder, Trind - Trin
    Cone - Cone
    Bicone - Bico

Other polytopes
Some can be found here: https://bendwavy.org/klitzing/explain/_ ... d-ones.htm
    Expanded dodeca-augmented great rhombicuboctahedron - Exdaugirco
    Rhombi-propello-icosahedron - Rhoprike
    Triaconta-augmented rhombicosidodecahedron - Trisirco
    p12-h4 - Trutdu
    Chamfered Tetrahedron - Chatet
    Chamfered Cube - Chube
    Chamfered Octahedron - Choct
    Chamfered Dodecahedron - Chadoe
    Chamfered Icosahedron - Chike

Hopf Polyhedra
Explanation here: http://www.polytope.net/hedrondude/twisters.htm
    Hopf Tetrahedron - Hoftet
    Hopf Cube - Hofube
    Hopf Octahedron - Hofoc
    Hopf Dodecahedron - Hodoe
    Hopf Icosahedron - Hoike

Non-regular versions of regulars or uniform polytopes with different symmetries
    Tetratetrahedron - Tatet
    Snub tetrahedron - Snat
    Catalan dodecahedron (dual of Snat)- Catadoe
    Catalan cube (dual of Tatet) - Catacube
    Truncated triangle - Trit
    Truncated square - Tasq
    Snub square - Snasq
    Rhombic square - Rasq
    Tetrahedral cuboctahedron / Tritruncated tetrahedron/Rhombitetratetrahedron - Rhotet
    Tetrahedral truncated octahedron / Cantitruncated tetrahedron / Bevelled tetrahedron - Cantet
    Tetrahedral icosahedron - Tike
    Pyritohedron - Pyrdoe

Polygon Compounds
It is a combination of a number prefix and the acronym for the said polygon.
For example, tritrig is a compound of 3 triangles and disquare is the compound of 2 octagons. After tri, we have different prefixes.
Here they are
    2 - Di
    3 - Tri
    4 - Qi
    5 - Pei
    6 - Sei
    7 - Hei
    8 - Oei
    9 - Noi
    10 - Doi
For higher numbers just add them together.
For example, a compound of 27 squares is heidisquare.

First take an already existing acronym. Then you put this before it {xy[sup]}. x represents the number of stellations. 1 means no stellation. The [sup]y[sup] represents the order of stellation. Here's how it works.
1 - Stellating: Replaces edges with larger edges in the same line.
2 - Greatening: Replaces faces with larger faces in the same plane.
3 - Aggrandizing: Replaces cells with larger cells in the same realm.
And so on.
Here are a few examples.
Great dodecahedron - {2[sup]2[/sup}doe
Escher solid - {2[sup]1
Tetrahemihexacron - {21}cube

This is simple. Cu means conjugation. e.g. cu teddi is targi
Last edited by ubersketch on Sat Jan 27, 2018 8:15 pm, edited 15 times in total.
User avatar
Posts: 108
Joined: Thu Nov 30, 2017 12:00 am

Re: Random list of Bower's acronyms

Postby Klitzing » Fri Dec 15, 2017 9:32 am

ubersketch wrote:I decided to make a few Bower's acronyms. for random topes.

You are welcome to make up your own acronyms. Even when going close to Jonathan's building principles.
But when calling yours as "Bower's acronyms", you truely should have asked him first whether he would like to support yours.

Esp. as yours partly are just reductions to sylables. Whereas he rather uses mostly just single character acronyms for any of the longname components, and thereafter fills in some vowels again, to get the acronym pronounciable.
Building principles of additional ones should go as close as possible to already existing ones.
Moreover one would have to check whether potential clashes with already existing acronyms might occur.
Other polytopes
Can be found here: https://bendwavy.org/klitzing/explain/_ ... d-ones.htm
    Expanded dodeca-augmented great rhombicuboctahedron - Exdogirco
    Rhombi-propello-icosahedron - Rhopike
    Triaconta-augmented rhombicosidodecahedron - Trasirco
    p12-h4 - Trutdu
Note - Cu means conjugate ex: co teddi is targi.

"Exdogirco" more looks like a 10D triprism from a 600-cell (ex), a dodecahedron (d(-oe/-o)), and a great rhombicuboctahedron (girco).

Augmentation so far rather was abreviated by the sylable "au". 12-augmentation mostly got the sylable "twau".

"Trasirco" definitely is already in use for the 5D duoprism of a triangle (t(-ra/-a/-i)) and a small rhombicuboctahedron (sirco).

By hand I do not know whether already there is some settled shortening for "triaconta" (=30).
Neither for the "propello" operation. At least the "p" already is in use for "penta-", for "prismato-", and for "petated". Therefore Jonathan mostly aims to differentiate those usages by an according choice of the to be inserted vowel. "pe/pi" usually is penta-, "pi/pa" is prismato-, and "pu/po" is petated.

If you would refer to a truncated dual of the truncated tetrahedron, then it would be more like "t"-"du"-"tut", kind a "tidutut". But then p12h24 happens to be just an equal edge length variant therefrom.

Did you want to say "Note - Cuo means conjugate, exg: co teddi is targi."? or rather "Note - Cu means conjugate, exg: cou teddi is targi."? - At least "co" already is in use for the cuboctahedron. Thus "co teddi/coteddi" would rather be defined as to be a 6D duoprism from the cuboctahedron (co) and the tridiminished icosahedron (teddi).

--- rk
Posts: 1377
Joined: Sun Aug 19, 2012 11:16 am
Location: Heidenheim, Germany

Re: Random list of Bower's acronyms

Postby ubersketch » Fri Dec 15, 2017 11:06 pm

Thanks for the advice.
User avatar
Posts: 108
Joined: Thu Nov 30, 2017 12:00 am

Return to Other Polytopes

Who is online

Users browsing this forum: No registered users and 2 guests