Category S25: Ionic Pecuexdaps

The pecuexdaps have the same vertices as gap and padiap and the same radius as sishi. The regiment is quite large and I have yet to sort out the fissaries. The legits have been sorted out though and I hope to name them soon. I have split them into three categories depending on their symmetries. Here are the 406 members with ionic symmetries - which includes the half (100 members) and quarter (306 members) ionic (5-iodugypic and 5-iodippic). They have 100 vertices. Several regiments are in this category, the -3va (9 members), the -3vb (4 members), the -2va (2 members), the -2vb (2 members), the -2vc (9 members), the -2vd (4 members), the -2ve (3 members), the -2vf (3 members), the -va (35 members), the -vb (20 members), and pecuexdap (315 members which includes all 100 half symmetrics), the two -v ones might be the same regiment in different orientations. -3v means 3 vertices are missing from the verf, similar with -2v and -v. The fissary count might break 1000. 5-iodugypic is also called iodupegypic for ionic duopentagonal gyroprismatic and 5-iodippic is also called iopedippic for ionic pentagonal duoprismattic.

The cell types can be divided into the following - the main cell types are 10a sidtids (plus regiment members), 10b sidtids, 100 mibdis, 100 mebergis, and 100 verfs (can be either cubes or stoppers). The prism types - 100a trips, 100b trips, 20 stips, 20 pips, 100 stips, or 100 pips. The gudap batch - 10a starps, 10b starps, 10a paps, 10b paps, 100a tets, and 100 octs (includes squippy a and b). The spid batch - 50a tets (can split into 25a tets and 25b tets), 50b tets, 100c trips (can split into 50a trips and 50b trips), 10d trips (can split into 50c and 50d trips), 25a coes, or 25b coes. And finally the extras - 100xa squippies, 100xb squippies, 100ya squippies, 100yb squippies, 100a ebots, and 100b ebots.

Naming usually uses prismato for 20 stips/pips, prismatosnub for 100 stips/trips, spheno for 100a/b trips, snub for 100a/b tets or 100 octs, antiprismato for starp/pap, pyrisnub for 200x/y squippies, hemisnub for ebots, hemi100 for coes, podi for 200 trips, cubi for 100 cubes, verti for stoppers, ditrigonal for sidtid/ditdid/gidtid, pentacubi for rhoms, cupoli for 2stiscu/2rapescu, rhomborbi for sifodib/gifodib, cyclorhombi for sifdodeb/gifdodeb/defbideb, fissary for sifdadedo/gifdadedo, pyri100 for peppy/stappy, lepido for ifbah/gifbah, trigoni100 for teddi/targi, and 100 for mibdi/mebergi/iftit/giftit. They were first found by Geometer in October 2020, I later sorted them out using Miratope data.

No Main Half Ionic Pecuexdaps

These 16 have 5-iodugypic symmetry (or half ionic). They have no cells among sidtids, mibdi, or mebergi.

S3064-S3079

Null Sidtiddic Half Ionic Pecuexdaps

Verfs of the Null Sidtiddics Half Ionic Pecuexdaps

These 16 have 5-iodugypic symmetry and have no sidtid cells, but have a mibdi/mebergi regiment cell type.

S3080-S3095

Sidtiddic Half Ionic Pecuexdaps

Verfs of Sidtiddics Half Ionic Pecuexdaps

These 32 have 20 sidtids, ditdids, gidtids, or rhoms.

S3096-S3127

Cupolic Half Ionic Pecuexdaps

These 26 have either 20 2rapescus or 20 2stiscus and are non-orientable.

S3128-S3153

Orbic Half Ionic Pecuexdaps

These 10 have orbiform sidtid members as cells.

S3154-S3163

-3V Regiments

These 13 have three vertices missing in the verfs compaired to other pecuexdaps. There are two regiments, the first with nine members and the second with four members. This and all following sections have 5-iodippic (quarter ionic, also called iopedippic) symmetry.

S3164-S3172 - first regiment

S3173-S3176 - second regiment

-2V Regiments

These 23 have two vertices missing in the verfs compaired to other pecuexdaps. There are six regiments, the first two have two members each, the third one with nine members, the fourth one with four members, and the last two with three members each (the gapy snacropyi and spy snacropyi regiments).

S3177-S3180 - first two regiments

S3181-S3189 - third regiment

S3190-S3193 - fourth regiment

Last two regiments - gapy snacropyi and spy snacropyi.

S3194. Gaspy Spacroti - (GAS pe spa KRO te / great snubpyrisnub prismatocyclorhomborbitrigonal 100) - cells are 10 sifdodebs, 10 sifodibs, 100a targies, 20 stips, 100b squippies, and 100ya squippies.

S3195. Gapy Snacropyi - (GAP e snak ROPE e yi / great pyrisnub spinocyclorhomborbipyri100) - cells are 10 sifdodebs, 10 sifodibs, 100a stappies, and 100ya squippies. I had to get this one a name and polycard, it is the 'head langolier' from the Pecuexdap Terror graphic on the cat 24 page.

S3196. Gapyscroti - (GAP iss KRO te / great pyrisnub cyclorhomborbitrigonal 100) - cells are 10 sifdodebs, 10 sifodibs, 100 iftits, 100a targies, and 100ya squippies.

S3197. Sespy Spacroti - (SES pe spa KRO te / small snubpyrisnub prismatocyclorhomborbitrigonal 100) - cells are 10 gifdodebs, 10 gifodibs, 100a teddies, 20 pips, 100b squippies, and 100xb squippies.

S3198. Spy Snacropyi - (SPY snak ROPE e yi / small pyrisnub spinocyclorhomborbipyri100) - cells are 10 gifdodebs, 10 gifodibs, 100a peppies, and 100xb squippies.

S3199. Spyscroti - (spiss KRO te / small pyrisnub cyclorhomborbitrigonal 100) - cells are 10 gifdodebs, 10 gifodibs, 100 giftits, 100a teddies, and 100xb squippies.