These are the prisms of the 75 uniform polyhedra excluding the cube (which will form the tesseract) - giving us 74 members in this category.

**889. Tepe** - (TEEP) tetrahedron (tet) prism. Its cells are 2 tets and 4 trips. It's verf is a trigon pyramid. It has 8 vertices and has tepe symmetry. Symbol = oox x. It has 6 pieces with two types.

**890. Ope** - (OPE) octahedron (oct) prism. Its cells are 2 octs and 8 trips. It's verf is a square pyramid. It has 12 vertices and has ope symmetry. Symbol = xo'o x = oxo x. It has 10 pieces in two types. It forms a two member regiment with thahp.

**891. Dope** - (DOPE) dodecahedron (doe) prism. Its cells are 2 does and 12 pips. Its verf is a trigon pyramid. It has 40 vertices and has ipe symmetry. Symbol = oo^x x. It has 14 pieces in two types.

**892. Ipe** - (IPE) icosahedron (ike) prism. Its cells are 2 ikes and 20 trips. Its verf is a pentagonal pyramid. It has 24 vertices and has ipe symmetry. Symbol = xo^o x = sss x. It has 22 pieces in two types. It and gaddip form a regiment.

**893. Gaddip** - (GAD dip) great dodecahedron (gad) prism. It has 2 gads and 12 pips. Its verf is a star pyramid. It has 24 vertices and has ipe symmetry. Symbol = o*o^x x. It has 62 pieces with two types.

**894. Sissiddip** - (SIS sid dip) small stellated dodecahedron (sissid) prism. It has 2 sissids and 12 stips. Its verf is a pentagonal pyramid. It has 24 vertices and has ipe symmetry. Symbol = x*o^o x. It has 62 pieces with two types. It and gipe form a regiment.

**895. Gipe** - (GIPE) great icosahedron (gike) prism. The cells are 2 gikes and 20 trips. Its verf is a star pyramid. It has 24 vertices and has ipe symmetry. Symbol = o*ox x. It has 182 pieces in three types.

**896. Gissiddip** - (GIS sid dip) great stellated dodecahedron (gissid) prism. It has 2 gissids and 12 stips. Its verf is a trigon pyramid. It has 40 vertices and has ipe symmetry. Symbol = x*oo x. It has 62 pieces in two types.

**897. Thahp** - (THAWP) tetrahemihexahedron (thah) prism. The cells are 2 thahs, 4 trips, and 3 cubes. Its verf is a bowtie pyramid. It has 12 vertices and has tepe symmetry. It has 24 pieces with three types. It is in the ope regiment.

**898. Tuttip** - (TUT tip) truncated tetrahedron (tut) prism. Its cells are 2 tuts, 4 trips, and 4 hips. It has 24 vertices and has tepe symmetry. Symbol = oxx x. It has 10 pieces with three types.

**899. Ticcup** - (TIC cup) truncated cube (tic) prism. Its cells are 2 tics, 6 ops, and 8 trips. It has 48 vertices and has ope symmetry. Symbol = ox'x x. It has 16 pieces in three types.

**900. Tope** - (TOPE) truncated octahedron (toe) prism. Its cells are 2 toes, 6 cubes, and 8 hips. It has 48 vertices and has ope symmetry. Symbol = xx'o x = xxx x. It has 16 pieces with three types.

**901. Tiddip** - (TID dip) truncated dodecahedron (tid) prism. Its cells are 2 tids, 12 dips, and 20 trips. It has 120 vertices and has ipe symmetry. Symbol = ox^x x. It has 34 pieces with three types.

**902. Tipe** - (TIPE) truncated icosahedron (ti) prism. Its cells are 2 tis, 12 pips, and 20 hips. It has 120 vertices and has ipe symmetry. Symbol = xx^o x. It has 34 pieces with three types.

**903. Tigiddip** - (tih JID dip) truncated great dodecahedron (tigid) prism. Its cells are 2 tigids, 12 dips, and 12 stips. It has 120 vertices and has ipe symmetry. Symbol = o*x^x x. It has 74 pieces in three types.

**904. Tiggipe** - (tig GIPE) truncated great icosahedron (tiggy) prism. Its cells are 2 tiggies, 12 stips, and 20 hips. It has 120 vertices and has ipe symmetry. Symbol = o*xx x. It has 194 pieces in four types.

**905. Quithip** - (QUITH thip) quasitruncated hexahedron (quith) prism. Its cells are 2 quiths, 6 stops, and 8 trips. It has 48 vertices and has ope symmetry. Symbol = ox"x x. It has 56 pieces with four types.

**906. Quit Sissiddip** - (quit SIS sid dip) quasitruncated small stellated dodecahedron (quit sissid) prism. Its cells are 2 quit sissids, 12 stiddips, and 12 pips. It has 120 vertices and has ipe symmetry. Symbol = o^x*'x x. It has 110 pieces with four types.

**907. Quit Gissiddip** - (quit GIS sid dip) quasitruncated great stellated dodecahedron (quit gissid) prism. Its cells are 2 quit gissids, 12 stiddips, and 20 trips. It has 120 vertices and has ipe symmetry. Symbol = ox*'x x. It has 122 pieces in three types.

*Cope regiment - has 24 vertices and has ope symmetry.*

**908. Cope** - (COPE) cuboctahedron (co) prism. Its cells are 2 coes, 6 cubes, and 8 trips. Symbol = ox'o x = xox x. It has 16 pieces in three types.

**909. Ohope** - (O hope) octahemioctahedron (oho) prism. Its cells are 2 ohoes, 8 trips, and 4 hips. It has 48 pieces with three types.

**910. Chope** - (CHOPE) cubihemioctahedron (cho) prism. Its cells are 2 choes, 6 cubes, and 4 hips. It has 42 pieces with three types.

**911. Iddip** - (ID dip) icosidodecahedron (id) prism. Its cells are 2 ids, 12 pips, and 20 trips. Symbol = ox^o x. It has 34 pieces with three types.

**912. Sidhiddip** - (sid HID dip) small dodecahemidodecahedron (sidhid) prism. Its cells are 2 sidhids, 12 pips, and 6 dips. It has 96 pieces in three types. This is the only known polychoron with sidhids for cells.

**913. Seihiddip** - (si HID dip) small icosihemidodecahedron (seihid) prism. Its cells are 2 seihids, 20 trips, and 6 dips. It has 120 pieces in three types. This is the only known polychoron with seihids for cells.

**914. Diddip** - (DID dip) dodecadodecahedron (did) prism. Its cells are 2 dids, 12 stips, and 12 pips. Symbol = o*x^o x. It has 74 pieces in three types.

**915. Sidhipe** - (SID hipe) small dodecahemiicosahedron (sidhei) prism. It has 2 sidheis, 12 stips, and 10 hips. It has 156 pieces with three types. This is the only known polychoron with sidheis.

**916. Gidhipe** - (GID hipe) great dodecahemiicosahedron (gidhei) prism. It has 2 gidheis, 12 pips, and 10 hips. It has 314 pieces with six types. This is the only known polychoron with gidheis.

**917. Giddip** - (GID dip) great icosidodecahedron (gid) prism. The cells are 2 gids, 12 stips, and 20 trips. Symbol = ox*o x. It has 134 pieces in four types.

**918. Gidhiddip** - (gid HID dip) great dodecahemidodecahedron (gidhid) prism. It has 2 gidhids, 12 stips, and 6 stiddips. It has 134 pieces in four types. This is the only known polychoron with gidhids.

**919. Geihiddip** - (gi HID dip) great icosihemidodecahedron (geihid) prism. It has 2 geihids, 20 trips, and 6 stiddips. It has 182 pieces in four types. This is the only known polychoron with geihids.

**920. Sidtiddip** - (SID tid dip) small ditrigonary icosidodecahedron (sidtid) prism. The cells are 2 sidtids, 12 stips, and 20 trips. Symbol = (o*xo) x. It has 74 pieces with three types.

**921. Ditdiddip** - (DIT did dip) ditrigonary dodecadodecahedron (ditdid) prism. Its cells are 2 ditdids, 12 stips, and 12 pips. Symbol = (o*'x^o) x. It has 218 pieces with five types.

**922. Gidtiddip** - (GID tid dip) great ditrigonary icosidodecahedron (gidtid) prism. Its cells are 2 gidtids, 12 pips, and 20 trips. Symbol = (ox^o,) x. It has 302 pieces in five types.

*Sircope regiment - has 48 vertices and has ope symmetry.*

**923. Sircope** - (SIR cope) small rhombicuboctahedron (sirco) prism. The cells are 2 sircoes, 6+12 cubes, and 8 trips. Symbol = xo'x x. It has 28 pieces with four types.

**924. Soccope** - (SOC cope) small cubicuboctahedron (socco) prism. Its cells are 2 soccoes, 6 cubes, 6 ops, and 8 trips. Symbol = (x'x"o) x. It has 80 pieces with six types.

**925. Srohp** - (SROPE) small rhombihexahedron (sroh) prism. Its cells are 2 srohs, 12 cubes, and 6 ops. It has 92 pieces in six types.

*Sriddip regiment - has 120 vertices and has ipe symmetry.*

**926. Sriddip** - (SRID dip) small rhombicosidodecahedron (srid) prism. Its cells are 2 srids, 12 pips, 20 trips, and 30 cubes. Symbol = xo^x x. It has 64 pieces with four types.

**927. Saddiddip** - (suh DID dip) small dodekicosidodecahedron (saddid) prism. Its cells are 2 saddids, 12 pips, 20 trips, and 12 dips. Symbol = (o^'x^x) x. It has 194 pieces with six types.

**928. Sirdip** - (SIR dip) small rhombidodecahedron (sird) prism. Its cells are 2 sirds, 30 cubes, and 12 dips. It has 224 pieces with six types.

*Radedip regiment - has 120 vertices and has ipe symmetry.*

**929. Radiddip** - (ray DID dip) rhombidodecadodecahedron (raded) prism. Its cells are 2 radeds, 12 stips, 12 pips, and 30 cubes. Symbol = x*o^x x. It has 314 pieces in six types.

**930. Ididdip** - (i DID dip) icosidodecadodecahedron (ided) prism. Its cells are 2 ideds, 12 stips, 12 pips, and 20 hips. Symbol = (x*'o^x) x. It has 434 pieces in seven types.

**931. Ripe** - (RIPE) rhombicosahedron (ri) prism. Its cells are 2 ris, 30 cubes, 20 hips. It has 744 pieces with 12 types.

*Goccope regiment - has 48 vertices and has ope symmetry.*

**932. Goccope** - (GOC cope) great cubicuboctahedron (gocco) prism. Its cells are 2 goccoes, 6 stops, 6 cubes, and 8 trips. Symbol = (o'x"x) x. It has 64 pieces with five types.

**933. Quercope** - (QUER cope) quasirhombicuboctahedron (querco) prism. Its cells are 2 quercoes, 6+12 cubes, and 8 trips. Symbol = xo"x x. It has 490 pieces in 15 types.

**934. Grohp** - (GROPE) great rhombihexahedron (groh) prism. Its cells are 2 grohs, 6 stops, and 12 cubes. It has 200 pieces in eight types.

*Gidditdiddip regiment - has 120 vertices and has ipe symmetry.*

**935. Gidditdiddip** - (GID dit DID dip - say its name enough times and you'll sound like a frog) great ditrigonary dodekicosidodecahedron (gidditdid) prism. Its cells are 2 gidditdids, 12 stiddips, 12 pips, and 20 trips. Symbol = (o^x*'x) x. It has 154 pieces with five types.

**936. Giidip** - (GIDE dip) great icosicosidodecahedron (giid) prism. Its cells are 2 giids, 12 pips, 20 trips, and 20 hips. Symbol = (xo^'x) x. It has 1234 pieces in 16 types.

**937. Giddipe** - (gid DIPE) great dodekicosahedron (giddy) prism. Its cells are 2 giddies, 20 hips, and 12 stiddips. It has 518 pieces in eight types.

*Gaddiddip regiment - has 120 vertices and has ipe symmetry.*

**938. Gaddiddip** - (gah DID dip) great dodekicosidodecahedron (gaddid) prism. Its cells are 2 gaddids, 12 stips, 12 stiddips, and 20 trips. Symbol = (o*x*'x) x. It has 182 pieces with four types.

**939. Qriddip** - (KRID dip) quasirhombicosidodecahedron (qrid) prism. Its cells are 2 qrids, 12 stips, 20 trips, and 30 cubes. Symbol = xo*'x x. It has 982 pieces in 12 types.

**940. Girdip** - (GIRD dip) great rhombidodecahedron (gird) prism. Its cells are 2 girds, 12 stiddips, and 30 cubes. It has 1036 pieces in 14 types.

*Siidip regiment - has 120 vertices and has ipe symmetry.*

**941. Siidip** - (SIDE dip) small icosicosidodecahedron (siid) prism. Its cells are 2 siids, 12 stips, 20 trips, and 20 hips. Symbol = (xo*x) x. It has 94 pieces with four types.

**942. Sidditdiddip** - (SID dit DID dip) small ditrigonary dodekicosidodecahedron (sidditdid) prism. Its cells are 2 sidditdids, 12 stips, 20 trips, and 12 dips. Symbol = (x^x*'o) x. It has 238 pieces in six types.

**943. Siddipe** - (sid DIPE) small dodekicosahedron (siddy) prism. Its cells are 2 siddies, 20 hips, and 12 dips. It has 504 pieces in ten types.

**944. Gircope** - (GIR cope) great rhombicuboctahedron (girco) prism. The cells are 2 gircoes, 6 ops, 12 cubes, and 8 hips. Symbol = xx'x x. It has 28 pieces with four types.

**945. Griddip** - (GRID dip) great rhombicosidodecahedron (grid) prism. Its cells are 2 grids, 30 cubes, 12 dips, and 20 hips. Symbol = xx^x x. It has 64 pieces with four types. This is the flattest uniform polychoron.

**946. Quitcope** - (QUIT cope) quasitruncated cuboctahedron (quitco) prism. Its cells are 2 quitcoes, 12 cubes, 20 hips, and 6 stops. Symbol = xx"x x. It has 150 pieces in eight types.

**947. Quitdiddip** - (quit DID dip) quasitruncated dodecadodecahedron (quitdid) prism. Its cells are 2 quitdids, 12 stiddips, 12 dips, and 30 cubes. Symbol = x^x*'x x. It has 406 pieces with eight types.

**948. Gaquatiddip** - (GAH kwa TID dip) great quasitruncated icosidodecahedron (gaquatid) prism. Its cells are 2 gaquatids, 12 stiddips, 20 hips, and 30 cubes. Symbol = xx*'x x. It has 1142 pieces with 13 types.

**949. Cotcope** - (KOT cope) cuboctatruncated cuboctahedron (cotco) prism. Its cells are 2 cotcoes, 6 stops, 6 ops, and 8 hips. Symbol = (x'x"x) x. It has 64 pieces with five types.

**950. Idtiddip** - (id TID dip) icosidodecatruncated icosidodecahedron (idtid) prism. Its cells are 2 idtids, 12 stiddips, 12 dips, and 20 hips. Symbol = (x^x*'x) x. It has 154 pieces with five types.

**951. Sniccup** - (SNIK kup) snub cube (snic) prism. The cells are 2 snics, 6 cubes, and 8+24 trips. Symbol = ss's x. It has 40 pieces with four types.

**952. Sniddip** - (SNID dip) snub dodecahedron (snid) prism. Its cells are 2 snids, 12 pips, and 20+60 trips. Symbol = ss^s x. It has 94 pieces with four types.

**953. Siddiddip** - (sid DID dip) snub dodecadodecahedron (siddid) prism. Its cells are 2 siddids, 12 stips, 12 pips, and 60 trips. Symbol = s^s*s x. It has 434 pieces in eight types.

**954. Gosiddip** - (go SID dip) great snub icosidodecahedron (gosid) prism. Its cells are 2 gosids, 12 stips, and 20+60 trips. Symbol = ss*s x. It has 302 pieces with six types.

**955. Sesidip** - (see SIDE dip) small snub icosicosidodecahedron (seside) prism. Its cells are 2 sesides, 12 stips, 40 trips (as 20 pairs), and 60 trips. Symbol = (ss*s) x. It has 214 pieces with five types.

**956. Isdiddip** - (iss DID dip) inverted snub dodecadodecahedron (isdid) prism. Its cells are 2 isdids, 12 stips, 12 pips, and 60 trips. Symbol = s^s*'s x. It has 374 pieces with eight types.

**957. Gisiddip** - (gi SID dip) great inverted snub icosidodecahedron (gisid) prism. Its cells are 2 gisids, 12 stips, and 20+60 trips. Symbol = ss*'s x. It has 782 pieces with 14 types.

**958. Sididdip** - (side DID dip) snub icosidodecadodecahedron (sided) prism. Its cells are 2 sideds, 12 stips, 12 pips, and 20+60 trips. Symbol = (s^s*'s) x. It has 478 pieces in 11 types.

**959. Gisdiddip** - (giss DID dip) great snub dodekicosidodecahedron (gisdid) prism. Its cells are 2 gisdids, 24 stips (12 pairs), and 20+60 trips. Symbol = (s*s*'s) x. It has 602 pieces with 11 types.

**960. Girsiddip** - (gir SID dip) great (inverted) retrosnub icosidodecahedron (girsid) prism. Its cells are 2 girsids, 12 stips, and 20+60 trips. Symbol = s,s*'s x. It has 1802 pieces with 31 types.

**961. Sirsiddip** - (sir SID dip) small inverted retrosnub icosicosidodecahedron (sirsid) prism. Its cells are 2 sirsids, 12 stips, 40 trips (paired), and 60 trips. Symbol = (s,s*'s) x. It has 3062 pieces with 29 types.

**962. Gidriddip** - (gid JRID dip) great dirhombicosidodecahedron (gidrid) prism. Its cells are 2 gidrids, 24 stips (paired), 40 trips (paired), and 60 cubes (paired hemi). Symbol = [s*s,s*'s] x. It has 1282 pieces with 14 types.

**Conjugates**

The following are self-conjugate: tepe, ope, thahp, tuttip, tope, cope, ohope, chope, diddip, ditdiddip, radiddip, ididdip, ripe, quitdiddip, cotcope, idtiddip, sniccup, sidedip, gisdiddip, and gidriddip.

The following are conjugate pairs: dope-gissiddip, ipe-gipe, gaddip-sissiddip, ticcup-quithip, tiddip-quit gissiddip, tipe-tiggipe, tigiddip-quit sissiddip, iddip-giddip, sidhiddip-gidhiddip, seihiddip-geihiddip, sidhipe-gidhipe, sidtiddip-gidtiddip, sircope-quercope, soccope-goccope, srohp-grohp, sriddip-qriddip, saddiddip-gaddiddip, sirdip-girdip, siidip-giidip, sidditdiddip-gidditdiddip, siddipe-giddipe, gircope-quitcope, griddip-gaquatiddip, sniddip-gisiddip, and siddiddip-isdiddip.

The following are semi-conjugates: sesidip-sirsiddip, and gosiddip-girsiddip.

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