Id has 11 edge facetings. The first three are uniform and have doic symmetry, the next two have peppyric symmetry, next are two trappyric ones, and the remaining four have brick symmetry.
1. Id - (ID / icosidodecahedron). It has 12 pegs and 20 trigs. It has only one orientation and is orientable.
2. Seihid - (SI hid / small icosihemidodecahedron). It has 6 degs and 20 trigs. It has one orientation and is non-orientable.
3. Sidhid - (SID hid / small dodecahemidodecahedon) It has 6 degs and 12 pegs. It has one orientation and is non-orientable.
4. Pero - (PEH ro / pentagonal rotunda). It has 1 deg, 5+5 trigs and 1+5 pegs. It has 12 orientations, two with the same symmetry. It is a Johnson solid and is orientable.
5. Pegger - (PEG ger / pentagonal gripper). It has 5 degs, 5+5 trigs and 1+5 pegs. It has 12 possible orientations, two with same symmetry. It is non-orientable.
6. Idtef - (ID tef / id trigonal faceting) It has 3 degs, 1+3+6 trigs and 3+3 pegs. It has 20 orientations, two having the same symmetry. It is non-orientable.
7. Idger - (ID jer / id gripper) It has 3 degs, 1+3+6 trigs and 3+3 pegs. It has 20 orientations, two with the same symmetry. It is non-orientable.
8. Tibocid - (tih BO sid / thin bowtie cut id) It has 2 degs, 4+4 trigs and 4 pegs. It has 15 orientations, three with the same symmetry. It is orientable.
9. Webocid - (weh BO sid / wide bowtie cut id). It has 2 degs, 4+8 trigs and 4+4 pegs. It has 15 orientations, three within the same symmetry. It is orientable.
10. Idress - (id JRESS / id regiment sampler). It has 2+2 degs, 4+4 trigs and 4+4 pegs. It has 15 orientations, three within the symmetry. The name stems from the fact that six of the vertices split into three pairs with a verf similar to all members of it's regiment. It is non-orientable.
11. Idbesof - (id BES off / id brick symmetric faceting). It has 2+2 degs, 4+8 trigs and 4 pegs. It has 15 orientations, three within the symmetry. It is orientable.
Did has 11 edge facetings. The first three are uniform and have doic symmetry, the next two have peppyric symmetry, next are two trappyric ones, and the remaining four have brick symmetry.
1. Did - (DID / dodedcadodecahedron). It has 12 pegs and 12 stars. It has only one orientation and is orientable.
2. Sidhei - (sid HI / small dodecahemicosahedron). It has 10 higs and 12 stars. It has one orientation and is non-orientable.
3. Gidhei - (gid HI / great dodecahemicosahedon) It has 10 higs and 12 pegs. It has one orientation and is non-orientable.
4. Sodidpef - (SO did pef / small did pentagonal faceting). It has 5 higs, 1+5 pegs and 1+5 stars. It has 12 orientations, two with the same symmetry. It is non-orientable.
5. Godidpef - (GO did pef / great did pentagonal faceting). It has 5 higs, 1+5 pegs and 1+5 stars. It has 12 possible orientations, two with same symmetry. It is non-orientable.
6. Didtef - (DID tef / did trigonal faceting) It has 3 higs, 3+3 stars and 3+3 pegs. It has 20 orientations, two having the same symmetry. It is orientable.
7. Hitef - (HI tef / hemicosahedal trigonal faceting) It has 1+3+3 higs, 3+3 stars and 3+3 pegs. It has 20 orientations, two with the same symmetry. It is non-orientable.
8. Sipter - (SIP ter / star pentagonal trirectahedron) It has 2+2 higs, 4 stars and 4 pegs. It has 15 orientations, three with the same symmetry. It is orientable. Once called 'the did thing'.
9. Didress - (did JRESS / did regiment sampler). It has 2+2 higs, 4+4 stars and 4+4 pegs. It has 15 orientations, three within the same symmetry. The name stems from the fact that six of the vertices split into three pairs with a verf similar to all members of it's regiment. It is non-orientable.
10. Seddabsof - (sed DAB sof / small did brick symmetric faceting). It has 2+4 higs, 4+4 stars and 4 pegs. It has 15 orientations, three within the symmetry. It is orientable.
11. Geddabsof - (ged DAB sof / great did brick symmetric faceting). It has 2+4 higs, 4 stars and 4+4 pegs. It has 15 orientations, three within the symmetry. It is orientable.
Gid has 11 edge facetings. The first three are uniform and have doic symmetry, the next two have peppyric symmetry, next are two trappyric ones, and the remaining four have brick symmetry.
1. Gid - (GID / great icosidodecahedron). It has 12 stars and 20 trigs. It has only one orientation and is orientable.
2. Geihid - (GI hid / great icosihemidodecahedron). It has 6 dags and 20 trigs. It has one orientation and is non-orientable.
3. Gidhid - (GID hid / great dodecahemidodecahedon) It has 6 dags and 12 stars. It has one orientation and is non-orientable.
4. Sisro - (SIS ro / star stellarotunda). It has 1 dag, 5+5 trigs and 1+5 stars. It has 12 orientations, two with the same symmetry. It is orientable.
5. Stagger - (STAG ger / star gripper). It has 5 dags, 5+5 trigs and 1+5 stars. It has 12 possible orientations, two with same symmetry. It is non-orientable.
6. Gidtef - (GID tef / gid trigonal faceting) It has 3 dags, 1+3+6 trigs and 3+3 stars. It has 20 orientations, two having the same symmetry. It is non-orientable.
7. Gidger - (GID jer / gid gripper) It has 3 dags, 1+3+6 trigs and 3+3 stars. It has 20 orientations, two with the same symmetry. It is non-orientable.
8. Webcugid - (web KOO gid / wide bowtie cut gid) It has 2 dags, 4+4 trigs and 4 stars. It has 15 orientations, three with the same symmetry. It is orientable.
9. Tibcugid - (tib KOO gid / thin bowtie cut gid). It has 2 dags, 4+8 trigs and 4+4 stars. It has 15 orientations, three within the same symmetry. It is orientable.
10. Gidress - (gid JRESS / gid regiment sampler). It has 2+2 dags, 4+4 trigs and 4+4 stars. It has 15 orientations, three within the symmetry. The name stems from the fact that six of the vertices split into three pairs with a verf similar to all members of it's regiment. It is non-orientable.
11. Gidbesof - (gid BES off / gid brick symmetric faceting). It has 2+2 dags, 4+8 trigs and 4 stars. It has 15 orientations, three within the symmetry. It is orientable.
Conjugates
The following are self conjugates: did, sipter, didress, didtef, hitef.
The following are conjugate pairs: id faceting n - gid faceing n (n is the number in front of name), sidhei-gidhei, sodidpef-godidpef, seddabsof-geddabsof.
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