Bowers style acronym
Bowers' acronyms are a shorthand notation created by Jonathan Bowers, used to identify polytopes without having to write their full (often quite long) names. They have been since expanded on, most notably by Richard Klitzing, either via direct request to the former or by means of expanding general building rules of him, which therefore has resulted in the umbrella term official Bowers style acronym (OBSA) for shorthands in accordance with Bowers's original ones.
The general building principle is to start with the full name and reduce every element (numbers, operators, the base object, etc.) into single characters. Then, characters are added euphoniously to make the OBSA readable/pronouncable. For example, "small rhombicuboctahedron" first becomes SRCO, and finally sirco.
Spaces may be added and some letters may be doubled, in order to make the intended pronunciation more obvious or make the name more unique or memorable. Spaces are not necessarily added to separate functionally different parts of the name (such as operators and the ending facet counts). For example, "medial omnicircumfacetopental trishecatonicosachoron" becomes mom fapathi, even though the "medial omnicircum-" part of the name (that contributes mom to the OBSA) is just an arbitrary cut of the full name.
| Morpheme | Possible meanings (sorted alphabetically, not by relevance) | Example |
|---|---|---|
| a | alpha- | abstid pesto |
| anti- | squap | |
| atop | octacube | |
| at | tiling | azat |
| au | augmented | autic |
| az | apeirogon | azip |
| b | 240 (diacositetraconta-) | bif |
| based | gibdiphip xady | |
| beta- | bebstid pesto | |
| bi- | bautip | |
| blended | bidsgado | |
| c | 48 (tetracontocta-, also co or cont) | spic |
| capped | sicdip pixthi | |
| cellated; celli- | scox | |
| cis- | cobidastado | |
| cube | muc | |
| octaexon (also o or oc) | ||
| co | 48 (tetracontocta-, also c and cont) | codibrox |
| -corona | waco | |
| cont | 48 (tetracontocta-, also c and co) | contit |
| cu | cupola | squacu |
| cy | cyclo- | cyooh |
| d | 10 (deca-, also da or de) | da |
| 12 (dodeca-, also tw) | gad | |
| diminished | mibdi | |
| dis- | ditdi | |
| double | padiap | |
| duo- | hiddip | |
| e | elongated | gyepibcu |
| enneagonal | ep | |
| icosicosahedron | se | |
| el | hemi- | elcube |
| en | 9 (ennea-, also ene) | eng |
| f | 14 (tetradeca-, also ted) | fe |
| 2160 (dischiliahecatonhexaconta-) | fy | |
| faceted | fipte | |
| fissal | fen | |
| frustum | trif | |
| g | 64 (hexacontatetra-) | rag |
| gram | dag | |
| grand (usually ga) | gap | |
| great | gad | |
| gy | gyrated; gyro- (also gyr) | gyrid |
| h | 6 (hexa-, also ha or x) | |
| 16 (hexadeca-, also he) | proh | |
| 120 (hecatonicosa-, also hi or y) | ||
| demi- | thin | |
| hebe- | hawmco | |
| hemi- | thah | |
| hollow (also ho) | hocucup | |
| honeycomb (also hon) | grothaph | |
| pentacomb (also oh) | hinoh | |
| hexacomb (also oh) | braxh | |
| he | 7 (hepta-, also l or sa) | |
| 16 | ||
| hen | 11 (hendeca-, also u) | henap |
| i | 20 (icosa-, also ike) | id |
| 24 (icositetra-, also ico or y) | ||
| inner | ||
| intercepted (also n) | ||
| inverted | ||
| ike | icosahedron | gike |
| j | 27 (icosihepta-) | jak |
| k | 72 (heptacontadi-) | jak |
| 256 (diacosipentacontahexa-) | rek | |
| 1024 (chiliaicositetra-) | ka | |
| chiral | ||
| skew | skiv dixathi | |
| l | 7 (for heptapeton modifications) | |
| 56 (pentacontahexa-) | rolaq | |
| aligned | dilsid pisapsido | |
| lune | bilbiro | |
| polar | lifpixady | |
| m | 54 (pentacontatetra-) | |
| circum- | omfapaxady | |
| medial | mobcated | |
| mega- | hawmco | |
| meta- | mabaud | |
| mu | multiple; mu | mut |
| n | 5 (for penteract) | prin |
| 126 (hecatonicosihexa-) | ranq | |
| intercepted (also i) | ||
| spino- | nipdip | |
| o | 8 (octa-, also oc) | og |
| omni- | omfapaxady | |
| ortho- | pobcu | |
| outer | orbis gadipsado | |
| oc | 8 (octa-, also o) | socat |
| p | 5 (penta-, also pe or n) | |
| para- | pabaud | |
| -pental | omfapaxady | |
| prism (also pe) | squip | |
| prismated; prismato- | potag | |
| petated; peti- | ||
| py | pyramid | octpy |
| q | 576 (pentacosiheptacontahexa-) | ranq |
| quasi- | qrico | |
| r | radial | ridtithi |
| rectified | ram | |
| retro- | radah | |
| rhombated; rhombi- | grid | |
| replenished | targi | |
| ro | rotunda | pero |
| s | small (also sm) | srit |
| snub (also sn) | gosid | |
| square (also squ) | shiddip; squigybcu | |
| stellated (also st) | gishi | |
| sa | hepteract | hesa |
| sc | scalene | squasc |
| st | pentagram (also star) | tistadip |
| t | 3 (tri-, triangle) | |
| 4 (tetra-) | tut | |
| 30 (triaconta-) | rhote | |
| 32 (triacontadi-) | capt | |
| terated; teri- | ||
| tesseract | srit | |
| toroidal | toif | |
| trio- (often tt- in higher-symmetry trioprisms) | tithtip | |
| tris- | xithi | |
| tetris- (also often ut) | kevuthi | |
| trans- | tibed segado | |
| truncated | ticont | |
| tetracomb | cypit | |
| tu | blend of two | turap |
| tw | 12 (for dodecagon) | sitwadip |
| u | 11 (for hendecaxennon) | |
| v | 512 (pentacosidodeca-) | |
| -verted | kevuthi | |
| w | wedge/spheno- | wamco |
| x | 6 (for hexateron or hexeract) | |
| 600 (hexacosi-) | ex | |
| y | 24 (icositetra-, also i or ico) | wavaty |
| 120 (hecatonicosa-, also h or hi) | gun hidy | |
| 17280 (myriaheptachiliadiacosioctaconta-) | ||
| thyrido- | ||
| z | 128 (hecatonicosocta-) | barz |
| Combination | Meaning |
|---|---|
| af | antifastegium |
| ap | antiprism |
| appy | antiprismatic pyramid |
| aw | antiwedge |
| co | cuboctahedron |
| cuf | cupofastegium |
| dip | duoprism |
| dp, dip | disprismato- |
| dt, dit | ditrigonary, duotegum |
| fip, fap | facetopental |
| gr | great rhombated |
| gye | gyroelongated |
| hiddix | hecatonicosidishexacosichoron |
| id | icosidodecahedron |
| kv, kav, kev, kiv | skewverted |
| nt | penteractitriacontaditeron |
| ofp, ofap | omnifacetopental |
| omfap | omnicircumfacetopental |
| p(...)ex | partially (...-)expanded |
| puf | pucofastegium |
| pv, piv | prismatoverted |
| rawv | retrosphenoverted |
| quit, quat | quasitruncated |
| rawv | retrosphenoverted |
| sr | small rhombated |
| tip | trioprism |
| wav | sphenoverted |
| xady, ixady | hexacosidishecatonicosachoron |
| xithi, xathi | hexacositrishecatonicosachoron |
| xhi | hexacosihecatonicosachoron |
| xog | hexeractihexacontatetrapeton |