The afdec regiment contains 53 members plus one fissary which is noble. This regiment has icoic symmetry and is the largest known icoic regiment. Afdec and its regiment members have 288 vertices and 1152 edges. It's verf is a rectangle trapezoprism. It's cells are 48 coes and 48 goccoes, afdec itself has contic symmetry. 18 of them are tame, the rest are wild.

*These seven have 48-cell (contic) symmetry. The first five are tame and the last two are wild. The first four are orientable while the last three are non-orientable. The vertex figures are shown above.*

**612. Afdec** - (AF dek) Antifrustary dis48. Its cells are 48 coes and 48 goccoes. Its symbol is (o'(x"x)'o).

**613. Girfaddic** - (gir FAD ik) great retrofrustary dis48. Its cells are 48 coes and 48 soccoes. Its symbol is (o"(x'x)"o).

**614. Ifdic** - (IF dik) invertofrustary dis48. Its cells are 48 goccoes and 48 soccoes.

**615. Sirfaddic** - (sir FAD ik) small retrofrustary dis48. Its cells are 48 quercoes and 48 soccoes.

**616. Rafdic** - (RAF dik) retroantifrustary dis48. Its cells are 48 grohs and 48 srohs.

**617. Riftic** - (RIF tik) retrofrustary tris48. Its cells are 48 coes, 48 quercoes, and 48 srohs.

**618. Aftic** - (AF tik) antifrustary tris48. Its cells are 48 coes, 48 grohs, and 48 sircoes.

*These four have icoic symmetry. The first one is orientable and the others are non-orientable. The last one is wild, but the others are tame. The vertex figures are shown above.*

**619. Rafficdi** - (ra FIK dee) retroantifrustary 48dis24. Its cells are 48 coes, 24a quercoes, and 24b sircoes. Its symbol is (o'xo"x).

**620. Afti** - (AF tee) antifrustary tris24. Its cells are 24a goccoes, 24b grohs, and 24a sircoes.

**621. Rifti** - (RIF tee) retrofrustary tris24. Its cells are 24a quercoes, 24b srohs, and 24a soccoes.

**622. Afcuti** - (af COO tee) antifrustary 48tetris24. Its cells are 48 coes, 24a goccoes, 24b grohs, 24b soccoes, and 24a srohs.

*These six actually have icoic symmetry, but if it weren't for the hips (hexagon prisms), they would of had contic symmetry. The first two are tame, the others are wild. The last two are orientable, the first four are non-orientable. The vertex figures are shown above.*

**623. Sirfpic** - (SIRF pik) small retrofrustary prismato48. Its cells are 48 grohs and 96 hips.

**624. Girfpic** - (GIRF pik) great retrofrustary prismato48. Its cells are 48 srohs and 96 hips.

**625. Afpaddic** - (af PAD dik) antifrustary prismatodis48. Its cells are 48 quercoes, 48 soccoes, and 96 hips.

**626. Gafpaddic** - (gaf PAD dik) great antifrustary prismatodis48. Its cells are 48 goccoes, 48 sircoes, and 96 hips.

**627. Gafcappic** - (gaf CAP pik) great antifrustary 48prismato48. Its cells are 48 coes, 48 sircoes, and 96 hips.

**628. Safcappic** - (saf CAP pik) small antifrustary 48prismato48. Its cells are 48 coes, 48 quercoes, and 96 hips.

*These eight are grouped into four pairs where each pair seems to have similar cells, but they are all flipped except for the hips (or only the hips flip). All of these are non-orientable and wild except for the first two which are tame and orientable. The vertex figures are shown above.*

**629. Sirfipdi** - (sir FIP dee) small retrofrustary prismatodis24. Its cells are 24b quercoes, 24b sircoes, and 96a hips.

**630. Girfipdi** - (gir FIP dee) great retrofrustary prismatodis24. Its cells are 24a quercoes, 24a sircoes, and 96a hips.

**631. Sirfpicti** - (sirf PIC tee) small retrofrustary prismato48tris24. Its cells are 48 coes, 24a goccoes, 24b grohs, 24b sircoes, and 96b hips.

**632. Girfpicti** - (girf PIC tee) great retrofrustary prismato48tris24. Its cells are 48 coes, 24b goccoes, 24a grohs, 24a sircoes, and 96b hips.

**633. Sifpicti** - (sif PIC tee) small invertifrustary prismato48tris24. Its cells are 48 coes, 24b quercoes, 24a soccoes, 24b srohs, and 96b hips.

**634. Gifpicti** - (gif PIC tee) great invertifrustary prismato48tris24. Its cells are 48 coes, 24a quercoes, 24b soccoes, 24a srohs, and 96b hips.

**635. Safputi** - (saf POO tee) small antifrustary prismatotetris24. Its cells are 24a grohs, 24b goccoes, 24a srohs, 24b soccoes, and 96 hips.

**636. Gafputi** - (gaf POO tee) great antifrustary prismatotetris24. Its cells are 24b grohs, 24a goccoes, 24b srohs, 24a soccoes, and 96 hips.

*These four have 24 cotcoes amongst their cells and only have three types of cells. They form two pairs and are all tame. The first two are orientable while the last two are non-orientable. The vertex figures are shown above.*

**637. Swifti** - (SWIF tee) small sphenofrustary tris24. Its cells are 24a goccoes, 24a soccoes, and 24a cotcoes.

**638. Gwifti** - (GWIF tee) great sphenofrustary tris24. Its cells are 24b goccoes, 24b soccoes, and 24a cotcoes.

**639. Snifti** - (SNIF tee) small spinofrustary tris24. Its cells are 24a grohs, 24b srohs, and 24a cotcoes.

**640. Gannifti** - (ga NIF tee) great spinofrustary tris24. Its cells are 24b grohs, 24a srohs, and 24a cotcoes.

*These six have 48 coes and 24 cotcoes amongst their cells. They also form pairs and are all wild. The first two are orientable, while the others are non-orientable. The vertex figures are shown above.*

**641. Sif Citi** - (sif CITy) small invertifrustary 48tris24. Its cells are 48 coes, 24b goccoes, 24a soccoes, and 24b cotcoes.

**642. Gif Citi** - (gif CITy) great invertifrustary 48tris24. Its cells are 48 coes, 24a goccoes, 24b soccoes, and 24b cotcoes.

**643. Gifcuti** - (gif COO tee) great invertifrustary 48tetris24. Its cells are 48 coes, 24a quercoes, 24b goccoes, 24b srohs, and 24a cotcoes.

**644. Sifcuti** - (sif COO tee) small invertifrustary 48tetris24. Its cells are 48 coes, 24b quercoes, 24a goccoes, 24a srohs, and 24a cotcoes.

**645. Girfcuti** - (girf COO tee) great retrofrustary 48tetris24. Its cells are 48 coes, 24a grohs, 24a soccoes, 24b sircoes, and 24a cotcoes.

**646. Sirfcuti** - (sirf COO tee) small retrofrustary 48tetris24. Its cells are 48 coes, 24b grohs, 24b soccoes, 24a sircoes, and 24a cotcoes.

*These four have five types of cells, one of which are cotcoes, but this time no coes. They also form pairs. All of these are wild and non-orientable. The vertex figures are shown above.*

**647. Girfopi** - (gir FO pee) great retrofrustary pentis24. Its cells are 24a quercoes, 24b goccoes, 24a soccoes, 24b sircoes, 24a cotcoes.

**648. Sirfopi** - (sir FO pee) small retrofrustary pentis24. Its cells are 24b quercoes, 24a goccoes, 24b soccoes, 24a sircoes, 24a cotcoes.

**649. Gifopi** - (gi FO pee) great invertifrustary pentis24. Its cells are 24a quercoes, 24b grohs, 24a sircoes, 24b srohs, 24a cotcoes.

**650. Sifopi** - (si FO pee) small invertifrustary pentis24. Its cells are 24b quercoes, 24a grohs, 24b sircoes, 24a srohs, 24a cotcoes.

*These six have 24 cotcoes and 96 hips amongst their cells. All of these are non-orientable. The first two are tame, but the others are wild. They form pairs. The vertex figures are shown above.*

**651. Sirfipti** - (sir FIP tee) small retrofrustary prismatotris24. Its cells are 24b grohs, 24b srohs, 24a cotcoes, and 96b hips.

**652. Girfipti** - (gir FIP tee) great retrofrustary prismatotris24. Its cells are 24a grohs, 24a srohs, 24a cotcoes, and 96b hips.

**653. Girfupti** - (gir FOOP tee) great retrofrustary prismatotetris24. Its cells are 24a quercoes, 24b grohs, 24a soccoes, 24a cotcoes, and 96b hips.

**654. Sirfupti** - (sir FOOP tee) small retrofrustary prismatotetris24. Its cells are 24b quercoes, 24a grohs, 24b soccoes, 24a cotcoes, and 96b hips.

**655. Srifupti** - (srif FOOP tee) small retroinvertifrustary prismatotris24. Its cells are 24a goccoes, 24a sircoes, 24b srohs, 24a cotcoes, and 96b hips.

**656. Grifupti** - (grif FOOP tee) great retroinvertifrustary prismatotris24. Its cells are 24b goccoes, 24b sircoes, 24a srohs, 24a cotcoes, and 96b hips.

*These eight have 48 coes, 24 cotcoes, and 96 hips amongst their cells. All of these are non-orientable and wild and form pairs. The vertex figures are shown above.*

**657. Sifpacuti** - (SIF pa COO tee) small invertifrustary prismato48tetris24. Its cells are 48 coes, 24a goccoes, 24b quercoes, 24b srohs, 24a cotcoes, and 96b hips.

**658. Gifpacuti** - (GIF pa COO tee) great invertifrustary prismato48tetris24. Its cells are 48 coes, 24b goccoes, 24a quercoes, 24a srohs, 24a cotcoes, and 96b hips.

**659. Snifpacuti** - (SNIF pa COO tee) small spinofrustary prismato48tetris24. Its cells are 48 coes, 24b goccoes, 24a sircoes, 24b srohs, 24a cotcoes, and 96b hips.

**660. Gannifpacuti** - (ga NIF pa COO tee) great spinofrustary prismato48tetris24. Its cells are 48 coes, 24a goccoes, 24b sircoes, 24a srohs, 24a cotcoes, and 96b hips.

**661. Sirfpacuti** - (SIRF pa COO tee) small retrofrustary prismato48tetris24. Its cells are 48 coes, 24a grohs, 24b quercoes, 24a soccoes, 24a cotcoes, and 96b hips.

**662. Girfpacuti** - (GIRF pa COO tee) great retrofrustary prismato48tetris24. Its cells are 48 coes, 24b grohs, 24a quercoes, 24b soccoes, 24a cotcoes, and 96b hips.

**663. Srifpacuti** - (SRIF pa COO tee) small retroinvertifrustary prismato48tetris24. Its cells are 48 coes, 24b grohs, 24b sircoes, 24a soccoes, 24a cotcoes, and 96b hips.

**664. Grifpacuti** - (GRIF pa COO tee) great retroinvertifrustary prismato48tetris24. Its cells are 48 coes, 24a grohs, 24a sircoes, 24b soccoes, 24a cotcoes, and 96b hips.

*Affic is a noble fissary and affip is a noble compound. They have contic symmetry and are orientable and tame. The vertex figures are shown above.*

**F. Affic** - (AF fik) antifrustary 48. Its cells are 48 cotcoes. Its symbol is ((x'(x"x)'x)")

**C. Affip** - (AF fip) antifrustary prismatochoron. Its cells are 192 hips. It is a compound of 16 hiddips.

Below are sections of each of the afdecs in the same order mentioned on this page, including the fissary and compound ones.

The following are self conjugates: ifdic, sirfaddic, rafdic, rafficdi, afcuti, sirfipdi, girfipdi, safputi, gafputi, swifti, gwifti, gifopi, sifopi, sirfipti, girfipti, affic, and affip.

The following are conjugate pairs: afdec-girfaddic, riftic-aftic, afti-rifti, sirfpic-girfpic, afpaddic-gafpaddic, gafcappic-safcappic, sirfpicti-sifpicti, girfpicti-gifpicti, snifti-gannifti, sif citi-gif citi, gifcuti-sirfcuti, sifcuti-girfcuti, girfopi-sirfopi, girfupti-srifupti, sirfupti-grifupti, sifpacuti-srifpacuti, gifpacuti-grifpacuti, snifpacuti-girfpacuti, and gannifpacuti-sirfpacuti.

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