Category A: Duoprisms

Duoprisms (also called double prisms) are the cross products of two polygons, its as though we are multiplying one polygon by another one - this category has an infinite size, here we will list all of them up to the decagonal ones. Convex ones are cross products of two convex polygons, all others are starry. Some duoprisms are cross products of two identical polygons, these have a higher symmetry - since these are like multiplying a polygon to itself, they are actually the square of that polygon - these polygon squares are a subset of the 4-D powertopes as well as their duals. Their verfs are disphenoids and are therefore related to category 7. As N approaches infinity, the N x N (or N2) duoprism approaches the duocylinder which is the square of a circle.

Polygonal Squares

These are the N2 duoprisms. Their cells are identical which makes these guys noble. The square duoprism is the tesseract which is mentioned in category 1. The first 7 are convex.

0. Triddip - (TRID dip) triangular duoprism. Its cells are 6 trips. It has 9 vertices and has extriddippic symmetry. Symbol = ox ox = ox2 = oxo'x. It has 6 pieces with one type.

-1. Pedip - (PEE dip) pentagonal duoprism. Its cells are 10 pips. It has 25 vertices and has expedippic symmetry. Symbol = o^x o^x = o^x2. It has 10 pieces in one type.

-2. Hiddip - (HID dip) hexagonal duoprism. Its cells are 12 hips. It has 36 vertices and has exhiddippic symmetry (usually has triddip symmetry when found in polytera). Symbol = o6x o6x = xx xx = xx2. It has 12 pieces of one type.

-3. Hedip - (HEE dip) heptagonal duoprism. Its cells are 14 heps (heptagon prisms). It has 49 vertices and has exhedippic symmetry. Symbol = o7x o7x = o7x2. It has 14 pieces of one type.

-4. Odip - (O dip) octagonal duoprism. It has 16 ops. It has 64 vertices and exodippic symmetry (in polytera, it usually has "exsquiddippic" symmetry (or 42). Symbol = o8x o8x = x'x x'x = x'x2. It has 16 pieces with one type.

-5. Edip - (E dip) enneagonal duoprism. It has 18 eps (enneagon prisms). It has 81 vertices and has exedippic symmetry. Symbol = o9x o9x = o9x2. It has 18 pieces with one type.

-6. Dedip - (DEE dip) decagonal duoprism. It has 20 dips. It has 100 vertices and has exdedippic symmetry. Symbol = o10x o10x = o10x2 = x^x x^x. It has 20 pieces in one type.

-7. Stardip - (STAR dip) pentagrammic duoprism (or star duoprism). It has 10 stips. It has 25 vertices and has expedippic symmetry. Symbol = o*x o*x = o*x2. It has 20 pieces in one type. This is the square of a star.

-8. Shedip - (SHE dip) heptagrammic duoprism. The cells are 14 ships (7/2 prism). It has 49 vertices and has exhedippic symmetry. Symbol = o7/2x o7/2x = o7/2x2. It has 28 pieces with one type.

-9. Gishdip - (GISH dip) great heptagrammic duoprism. The cells are 14 giships (7/3 prism). It has 49 vertices and has exhedippic symmetry. Symbol = o7/3x o7/3x = o7/3x2. It has 28 pieces with one type.

-10. Stodip - (STO dip) octagrammic duoprism. The cells are 16 stops. It has 64 vertices and has exodippic symmetry. Symbol = o8/3x o8/3x = o8/3x2 = x"x x"x. It has 32 pieces with one type.

-11. Stedip - (STE dip) enneagrammic duoprism. The cells are 18 steps (9/2 prism). It has 81 vertices and has exedippic symmetry. Symbol = o9/2x o9/2x = o9/2x2. It has 36 pieces with one type.

-12. Gastedip - (ga STEE dip) great enneagrammic duoprism. The cells are 18 gisteps (9/4 prism). It has 81 vertices and has exedippic symmetry. Symbol = o9/4x o9/4x = o9/4x2. It has 36 pieces with one type.

-13. Stadidip - (sta DID dip) decagrammic duoprism. The cells are 20 stiddips. It has 100 vertices and has exdedippic symmetry. Symbol = o10/3x o10/3x = o10/3x2 = x*'x x*'x. It has 40 pieces with one type.

N-Dip - (IN dip) N-gonal duoprism (N > 2, N is an integer). Cells are 2N N-gonal prisms. It has N2 vertices and has N-exdippic symmetry. Symbol = oNx oNx = oNx2. It has 2N pieces of one type. These are convex.

N/M-Dip - (NIM dip) M density N-grammic duoprism (N/M > 2, M and N relatively prime). Cells are 2N N/M-prisms. It has N2 vertices and has N-exdippic symmetry. Symbol = oN/Mx oN/Mx = oN/Mx2. It has 4N pieces of one type.

Duoprisms based off of triangular and square symmetries.

These duoprisms may show up as facets for various non-prismattic uniform polytera which makes these a bit more significant. Triddip, hiddip, odip, and stodip could also fit here - but has been counted in the squared polygons above - as well as the tesseract from category 1. The symmetries and symbols reflect how they show up in higher polytopes. First six are convex.

-14. Thiddip - (THID dip) triangular-hexagonal duoprism. Its cells are 6 trips and 3 hips. It has 18 vertices and has thiddippic symmetry. Symbol = ox xx. It has nine pieces with two types.

-15. Tisdip - (TISS dip) triangular-square duoprism. Its cells are 4 trips and 3 cubes. It has 12 vertices and has tisdippic symmetry. Symbol = ox o'x. It has seven pieces in two types.

-16. Todip - (TOE dip) triangular-octagonal duoprism. Its cells are 8 trips and 3 ops. It has 24 vertices and has todippic symmetry. Symbol = ox x'x. It has 11 pieces with two types.

-17. Shiddip - (SHID dip) square-hexagonal duoprism. Its cells are 6 cubes and 4 hips. It has 24 vertices and has shiddippic symmetry. Symbol = xx o'x. It has 10 pieces with two types.

-18. Hodip - (HO dip) hexagonal-octagonal duoprism. Its cells are 8 hips and 6 ops. It has 48 vertices and has hodippic symmetry. Symbol = xx x'x. It has 14 pieces with two types.

-19. Sodip - (SO dip) square-octagonal duoprism. Its cells are 8 cubes and 4 ops. It has 32 vertices and has sodippic symmetry. Symbol = o'x x'x. It has 12 pieces in two types.

-20. Tistodip - (tiss TOE dip) triangular-octagrammic duoprism. Its cells are 8 trips and 3 stops. It has 24 vertices and has todippic symmetry. Symbol = ox x"x. It has 19 pieces in two types.

-21. Histodip - (hiss TOE dip) hexagonal-octagrammic duoprism. Its cells are 8 trips and 6 stops. It has 48 vertices and has todippic symmetry. Symbol = xx x"x. It has 22 pieces with two types.

-22. Sistodip - (sis TOE dip) square-octagrammic duoprism. Its cells are 8 cubes and 4 stops. It has 32 vertices and has sodippic symmetry. Symbol = o'x x"x. It has 20 pieces with two types.

-23. Ostodip - (OSS toe dip) octagonal-octagrammic duoprism. Its cells are 8 ops and 8 stops. It has 64 vertices and has odippic symmetry. Symbol = x'x x"x. It has 24 pieces in two types.

Other Convex Cases

These are the convex ones that don't fit in the above groups. They will be listed as M,N. Name - (pro noun see AYE shun) for the M,N-Dip. For an M,N-Dip the cells are N M-prisms and M N-prisms, they have M*N vertices with M,N-Dip symmetry. Symbol = oMx oNx. They have M+N pieces of two types.

-24. Trapedip - (tra PEE dip) triangular-pentagonal duoprism. Its cells are 5 trips and 3 pips. It has 15 vertices and has trapedippic symmetry. Symbol = ox o^x. It has 8 pieces in two types.

-25. Theddip - (THEH dip) triangular-heptagonal duoprism. Its cells are 7 trips and 3 heps. It has 21 vertices and has theddippic symmetry. Symbol = ox o7x. It has 10 pieces in two types.

-26. Tedip - (TEE dip) triangular-enneagonal duoprism. Its cells are 9 trips and 3 eps. It has 27 vertices and has tedippic symmetry. Symbol = ox o9x. It has 12 pieces in two types.

-27. Tradedip - (tra DEE dip) triangular-decagonal duoprism. Its cells are 10 trips and 3 dips. It has 30 vertices and has tradedippic symmetry. Symbol = ox o10x. It has 13 pieces in two types.

-28. Squipdip - (SQUIP dip) square-pentagonal duoprism. Its cells are 5 cubes and 4 pips. It has 20 vertices and has squipdippic symmetry. Symbol = o'x o^x. It has 9 pieces in two types.

-29. Squahedip - (skwa HE dip) square-heptagonal duoprism. Its cells are 7 cubes and 4 heps. It has 28 vertices and has odippic symmetry. Symbol = o'x o7x. It has 11 pieces in two types.

-30. Sendip - (SEND dip) square-enneagonal duoprism. Its cells are 9 cubes and 4 eps. It has 36 vertices and has sendippic symmetry. Symbol = o'x o9x. It has 13 pieces in two types.

-31. Squadedip - (skwa DEE dip) square-decagonal duoprism. Its cells are 10 cubes and 4 dips. It has 40 vertices and has squadedippic symmetry. Symbol = o'x o10x. It has 14 pieces in two types.

-32. Phiddip - (FID dip) pentagonal-hexagonal duoprism. Its cells are 6 pips and 5 hips. It has 30 vertices and has phiddippic symmetry. Symbol = o^x o6x. It has 11 pieces in two types.

-33. Pheddip - (FED dip) pentagonal-heptagonal duoprism. Its cells are 7 pips and 5 heps. It has 35 vertices and has pheddippic symmetry. Symbol = o^x o7x. It has 12 pieces in two types.

-34. Podip - (PO dip) pentagonal-octagonal duoprism. Its cells are 8 pips and 5 ops. It has 40 vertices and has podippic symmetry. Symbol = o^x o8x. It has 13 pieces in two types.

-35. Peendip - (PEEN dip) pentagonal-enneagonal duoprism. Its cells are 9 pips and 5 eps. It has 45 vertices and has peendippic symmetry. Symbol = o^x o9x. It has 14 pieces in two types. Feel free to dip Freetoes into the peendip.

-36. Padedip - (pa DEE dip) pentagonal-decagonal duoprism. Its cells are 10 pips and 5 dips. It has 50 vertices and has padedippic symmetry. Symbol = o^x o10x. It has 15 pieces in two types.

-37. Hahedip - (ha HEE dip) hexagonal-heptagonal duoprism. Its cells are 7 hips and 6 heps. It has 42 vertices and has hahedippic symmetry. Symbol = o6x o7x. It has 13 pieces in two types.

-38. Hendip - (HEND dip) hexagonal-enneagonal duoprism. Its cells are 9 hips and 6 eps. It has 54 vertices and has hendippic symmetry. Symbol = o6x o9x. It has 15 pieces in two types.

-39. Hadedip - (ha DEE dip) hexagonal-decagonal duoprism. Its cells are 10 hips and 6 dips. It has 60 vertices and has hadedippic symmetry. Symbol = o6x o10x. It has 16 pieces in two types.

-40. Heodip - (HYO dip) heptagonal-octagonal duoprism. Its cells are 8 heps and 7 ops. It has 56 vertices and has heodippic symmetry. Symbol = o7x o8x. It has 15 pieces in two types.

-41. Heendip - (HEEN dip) heptagonal-enneagonal duoprism. Its cells are 9 heps and 7 eps. It has 63 vertices and has hendippic symmetry. Symbol = o7x o9x. It has 16 pieces in two types.

-42. Hedadip - (he DAY dip) heptagonal-decagonal duoprism. Its cells are 10 heps and 7 dips. It has 70 vertices and has hedadippic symmetry. Symbol = o7x o10x. It has 17 pieces in two types.

-43. Oedip - (OIE dip) octagonal-enneagonal duoprism. Its cells are 9 ops and 8 eps. It has 72 vertices and has oedippic symmetry. Symbol = o8x o9x. It has 17 pieces in two types.

-44. Odedip - (o DEE dip) octagonal-decagonal duoprism. Its cells are 10 ops and 8 dips. It has 80 vertices and has odedippic symmetry. Symbol = o8x o10x. It has 18 pieces in two types.

-45. Edidip - (e DID dip) enneagonal-decagonal duoprism. Its cells are 10 eps and 9 dips. It has 90 vertices and has edidippic symmetry. Symbol = o9x o10x. It has 19 pieces in two types.

M,N-Dip - (em IN dip) - hmmm...we could call these the "emindips". M-gonal-N-gonal duoprism. It's cells are N M-gonal prisms and M N-gonal prisms. It has MN vertices with M,N dippic symmetry. Symbol = oMx oNx. It has M+N pieces in two types. More will be fleshed out in further groupings.

Convex-Star Duoprisms

These are the duoprisms that are cross products of a convex and a star case, that has yet to be mentioned. For a P,N/M-Dip - the cells are P N/M-prisms and N P-prisms, they have N*P vertices with P,N-Dip symmetry. Symbol = oPx oN/Mx. They have P+2N pieces of two types.

-46. Tistadip - (TISS ta dip) triangular-pentagrammic duoprism. Its cells are 5 trips and 3 stips. It has 15 vertices and has trapedippic symmetry. Symbol = ox o*x. It has 13 pieces in two types.

-47. Tistadedip - (TISS ta DEE dip) triangular-decagrammic duoprism. Its cells are 10 trips and 3 stiddips. It has 30 vertices and has tradedippic symmetry. Symbol = ox o10/3x. It has 23 pieces in two types.

-48. Sistadip - (SIS ta dip) square-pentagrammic duoprism. Its cells are 5 cubes and 4 stips. It has 20 vertices and has squipdippic symmetry. Symbol = o'x o*x. It has 14 pieces in two types.

-49. Sistadedip - (SIS ta DEE dip) square-decagrammic duoprism. Its cells are 10 cubes and 4 stiddips. It has 40 vertices and has squadedippic symmetry. Symbol = o'x o10/3x. It has 24 pieces in two types. Good name for a female rap star - but then again "Rapstar" would be a good name for the pentagram-rap duoprism

-50. Starpedip - (STAR pe dip) pentagrammic-pentagonal duoprism. Its cells are 5 stips and 5 pips. It has 25 vertices and has pedippic symmetry. Symbol = o*x o^x. It has 15 pieces in two types.

-51. Pistodip - (PISS toe dip) pentagonal-octagrammic duoprism. Its cells are 8 pips and 5 stops. It has 40 vertices and has podippic symmetry. Symbol = o^x o8/3x. It has 21 pieces in two types.

-52. Pistadedip - (PISS ta DEE dip) pentagonal-decagrammic duoprism. Its cells are 10 pips and 5 stiddips. It has 50 vertices and has padedippic symmetry. Symbol = o^x o10/3x. It has 25 pieces in two types.

-53. Stahdip - (STAH dip) pentagrammic-hexagonal duoprism. Its cells are 6 stips and 5 hips. It has 30 vertices and has phiddippic symmetry. Symbol = o*x o6x. It has 16 pieces in two types.

-54. Histadedip - (HISS ta DEE dip) hexagonal-decagrammic duoprism. Its cells are 10 hips and 6 stiddips. It has 60 vertices and has hadedippic symmetry. Symbol = o6x o10/3x. It has 26 pieces in two types.

-55. Stahedip - (stah HE dip) pentagrammic-heptagonal duoprism. Its cells are 7 stips and 5 heps. It has 35 vertices and has pheddippic symmetry. Symbol = o*x o7x. It has 17 pieces in two types.

-56. Hestodip - (HESS sto dip) heptagonal-octagrammic duoprism. Its cells are 8 heps and 7 stops. It has 56 vertices and has heodippic symmetry. Symbol = o7x o8/3x. It has 23 pieces in two types.

-57. Hestadedip - (HESS ta DEE dip) heptagonal-decagrammic duoprism. Its cells are 10 heps and 7 stiddips. It has 70 vertices and has hedadippic symmetry. Symbol = o7x o10/3x. It has 27 pieces in two types.

-58. Starodip - (STARE o dip) pentagrammic-octagonal duoprism. Its cells are 8 stips and 5 ops. It has 40 vertices and has podippic symmetry. Symbol = o*x o8x. It has 18 pieces in two types.

-59. Ostadedip - (OSS ta DEE dip) octagonal-decagrammic duoprism. Its cells are 10 ops and 8 stiddips. It has 80 vertices and has odedippic symmetry. Symbol = o8x o10/3x. It has 28 pieces in two types.

-60. Starendip - (star REN dip) pentagrammic-enneagonal duoprism. Its cells are 9 stips and 5 eps. It has 45 vertices and has peendippic symmetry. Symbol = o*x o9x. It has 19 pieces in two types.

-61. Stoendip - (STOIN dip) octagrammic-enneagonal duoprism. Its cells are 9 stops and 8 eps. It has 72 vertices and has oedippic symmetry. Symbol = o8/3x o9x. It has 25 pieces in two types.

-62. Estadedip - (ES ta DEE dip) enneagonal-decagrammic duoprism. Its cells are 10 eps and 9 stiddips. It has 90 vertices and has edidippic symmetry. Symbol = o9x o10/3x. It has 29 pieces in two types.

-63. Stardedip - (star DEE dip) pentagrammic-decagonal duoprism. Its cells are 10 stips and 5 dips. It has 50 vertices and has padedippic symmetry. Symbol = o*x o10x. It has 20 pieces in two types.

-64. Stodedip - (sto DEE dip) octagrammic-decagonal duoprism. Its cells are 10 stops and 8 dips. It has 80 vertices and has odedippic symmetry. Symbol = o8/3x o10x. It has 26 pieces in two types.

-65. Distadedip - (DISS ta DEE dip) decagonal-decagrammic duoprism. Its cells are 10 dips and 10 stiddips. It has 100 vertices and has dedippic symmetry. Symbol = o10x o10/3x. It has 30 pieces in two types.

P,N/M-Dip - (pa NIM dip) - I guess these can be called the "panimdips". P gonal - N/M gonal duoprism. Its cells are N P-gon prisms and P N/M-gon prisms. It has NP vertices and has N,P dippic symmetry. Symbol = oPx oN/Mx. It has P+2N pieces in two types.

Double Star Duoprisms

These are the duoprisms that are cross products of two star polygons. For an N/M,P/Q-Dip - the cells are P N/M-prisms and N P/Q-prisms, they have N*P vertices with P,N-Dip symmetry. Symbol = oN/Mx oP/Qx. They have 2P+2N pieces in two types.

-66. Stastodip - (STAS toe dip) pentagrammic-octagrammic duoprism. Its cells are 8 stips and 5 stops. It has 40 vertices and has podippic symmetry. Symbol = o*x o8/3x. It has 26 pieces with two types.

-67. Stastidedip - (stast IDE dee dip) pentagrammic-decagrammic duoprism. Its cells are 10 stips and 5 stiddips. It has 50 vertices and has padedippic symmetry. Symbol = o*x o10/3x. It has 30 pieces with two types.

-68. Stostidedip - (sto STIDE dee dip) octagrammic-decagrammic duoprism. Its cells are 10 stops and 8 stiddips. It has 80 vertices and has odedippic symmetry. Symbol = o8/3x o10/3x. It has 36 pieces with two types.

N/M,P/Q-Dip - (NIM pik dip) - you guessed it, these are the "nimpiqdips". N/M, P/Q duoprism. Its cells are P N/M-prisms and N P/Q prisms. It has NP vertices and has N,P dippic symmetry. Its symbol is oN/Mx oP/Qx. It has 2P+2N pieces of two types.

Special thanks to Dr. Richard Klitzing for some of the heptagonal and enneagonal short names as well as helping me to keep these names from clashing with others.

Convex-Star Sevens and Nines

Continuing on - These are the duoprisms that are cross products of a convex polygon and one of the heptagrams or enneagrams.

-69. Tashedip - (TASH e dip) triangular-heptagrammic duoprism. Its cells are 7 trips and 3 ships. It has 21 vertices and has theddippic symmetry. Symbol = ox o7/2x. It has 17 pieces in two types.

-70. Tagishdip - (TAG ish dip) triangular-great heptagrammic duoprism. Its cells are 7 trips and 3 giships. It has 21 vertices and has theddippic symmetry. Symbol = ox o7/3x. It has 17 pieces in two types.

-71. Tastedip - (TASTE e dip) triangular-enneagrammic duoprism. Its cells are 9 trips and 3 steps. It has 27 vertices and has tedippic symmetry. Symbol = ox o9/2x. It has 21 pieces in two types.

-72. Tagstedip - (tag STEE dip) triangular-great enneagrammic duoprism. Its cells are 9 trips and 3 gisteps. It has 27 vertices and has tedippic symmetry. Symbol = ox o9/4x. It has 21 pieces in two types.

-73. Sashedip - (SASH e dip) square-heptagrammic duoprism. Its cells are 7 cubes and 4 ships. It has 28 vertices and has squahedippic symmetry. Symbol = o'x o7/2x. It has 18 pieces in two types.

-74. Sagishdip - (SAG ish dip) square-great heptagrammic duoprism. Its cells are 7 cubes and 4 giships. It has 28 vertices and has squahedippic symmetry. Symbol = o'x o7/3x. It has 18 pieces in two types.

-75. Sastedip - (SASTE e dip) square-enneagrammic duoprism. Its cells are 9 cubes and 4 steps. It has 36 vertices and has sendippic symmetry. Symbol = o'x o9/2x. It has 22 pieces in two types.

-76. Sagstedip - (sag STEE dip) square-great enneagrammic duoprism. Its cells are 9 cubes and 4 gisteps. It has 36 vertices and has sendippic symmetry. Symbol = o'x o9/4x. It has 22 pieces in two types.

-77. Pashedip - (PASH e dip) pentagonal-heptagrammic duoprism. Its cells are 7 pips and 5 ships. It has 35 vertices and has pheddippic symmetry. Symbol = o^x o7/2x. It has 19 pieces in two types.

-78. Pagishdip - (PAG ish dip) pentagonal-great heptagrammic duoprism. Its cells are 7 pips and 5 giships. It has 35 vertices and has pheddippic symmetry. Symbol = o^x o7/3x. It has 19 pieces in two types.

-79. Pastedip - (PASTE e dip) pentagonal-enneagrammic duoprism. Its cells are 9 pips and 5 steps. It has 45 vertices and has peendippic symmetry. Symbol = o^x o9/2x. It has 23 pieces in two types. This peendip has a pasty taste.

-80. Pagstedip - (pag STEE dip) pentagonal-great enneagrammic duoprism. Its cells are 9 pips and 5 gisteps. It has 45 vertices and has peendippic symmetry. Symbol = o^x o9/4x. It has 23 pieces in two types.

-81. Hashedip - (HASH e dip) hexagonal-heptagrammic duoprism. Its cells are 7 hips and 6 ships. It has 42 vertices and has hahedippic symmetry. Symbol = o6x o7/2x. It has 20 pieces in two types.

-82. Hagishdip - (HAG ish dip) hexagonal-great heptagrammic duoprism. Its cells are 7 hips and 6 giships. It has 42 vertices and has hahedippic symmetry. Symbol = o6x o7/3x. It has 20 pieces in two types. Yuck, this dip tastes hagish.

-83. Hastedip - (HASTE e dip) hexagonal-enneagrammic duoprism. Its cells are 9 hips and 6 steps. It has 54 vertices and has hendippic symmetry. Symbol = o6x o9/2x. It has 24 pieces in two types.

-84. Hagstedip - (hag STEE dip) hexagonal-great enneagrammic duoprism. Its cells are 9 hips and 6 gisteps. It has 54 vertices and has hendippic symmetry. Symbol = o6x o9/4x. It has 24 pieces in two types.

-85. Heshedip - (HESH e dip) heptagonal-heptagrammic duoprism. Its cells are 7 heps and 7 ships. It has 49 vertices and has hedippic symmetry. Symbol = o7x o7/2x. It has 21 pieces in two types.

-86. Hegishdip - (HEG ish dip) heptagonal-great heptagrammic duoprism. Its cells are 7 heps and 7 giships. It has 49 vertices and has hedippic symmetry. Symbol = o7x o7/3x. It has 21 pieces in two types.

-87. Hestedip - (HEST e dip) heptagonal-enneagrammic duoprism. Its cells are 9 heps and 7 steps. It has 63 vertices and has heendippic symmetry. Symbol = o7x o9/2x. It has 25 pieces in two types.

-88. Hegstedip - (heg STEE dip) heptagonal-great enneagrammic duoprism. Its cells are 9 heps and 7 gisteps. It has 63 vertices and has heendippic symmetry. Symbol = o7x o9/4x. It has 25 pieces in two types.

-89. Sheodip - (SHE o dip) heptagrammic-octagonal duoprism. Its cells are 7 ops and 8 ships. It has 56 vertices and has heodippic symmetry. Symbol = o8x o7/2x. It has 22 pieces in two types.

-90. Gishodip - (GISH o dip) great heptagrammic-octagonal duoprism. Its cells are 7 ops and 8 giships. It has 56 vertices and has heodippic symmetry. Symbol = o8x o7/3x. It has 22 pieces in two types.

-91. Ostedip - (OS te dip) octagonal-enneagrammic duoprism. Its cells are 9 ops and 8 steps. It has 72 vertices and has oedippic symmetry. Symbol = o8x o9/2x. It has 26 pieces in two types.

-92. Ogstedip - (og STEE dip) octagonal-great enneagrammic duoprism. Its cells are 9 ops and 8 gisteps. It has 72 vertices and has oedippic symmetry. Symbol = o8x o9/4x. It has 26 pieces in two types.

-93. Sheedip - (SHEE dip) heptagrammic-enneagonal duoprism. Its cells are 7 eps and 9 ships. It has 63 vertices and has hendippic symmetry. Symbol = o9x o7/2x. It has 23 pieces in two types.

-94. Gishedip - (gi SHE dip) great heptagrammic-enneagonal duoprism. Its cells are 7 eps and 9 giships. It has 63 vertices and has hendippic symmetry. Symbol = o9x o7/3x. It has 23 pieces in two types.

-95. Estedip - (ES te dip) enneagonal-enneagrammic duoprism. Its cells are 9 eps and 9 steps. It has 81 vertices and has edippic symmetry. Symbol = o9x o9/2x. It has 27 pieces in two types.

-96. Egstedip - (egg STE dip) enneagonal-great enneagrammic duoprism. Its cells are 9 eps and 9 gisteps. It has 81 vertices and has edippic symmetry. Symbol = o9x o9/4x. It has 27 pieces in two types.

-97. Shededip - (SHE dee dip) heptagrammic-decagonal duoprism. Its cells are 7 dips and 10 ships. It has 70 vertices and has hedadippic symmetry. Symbol = o10x o7/2x. It has 24 pieces in two types.

-98. Gishdedip - (gish DEE dip) great heptagrammic-decagonal duoprism. Its cells are 7 dips and 10 giships. It has 24 vertices and has hedadippic symmetry. Symbol = o10x o7/3x. It has 30 pieces in two types.

-99. Stededip - (STEE dee dip) enneagrammic-decagonal duoprism. Its cells are 9 dips and 10 steps. It has 90 vertices and has edidippic symmetry. Symbol = o10x o9/2x. It has 28 pieces in two types.

-100. Gistdedip - (gist DEE dip) great enneagrammic-decagonal duoprism. Its cells are 9 dips and 10 gisteps. It has 90 vertices and has edidippic symmetry. Symbol = o10x o9/4x. It has 28 pieces in two types.

Double Star Sevens and Nines

These are the duoprisms that are cross products of two star polygons, at least one of them are heptagrams or enneagrams. This completes the duoprisms up to ten sided polygons, but we're not stopping yet.

-101. Stashedip - (STASH e dip) pentagrammic-heptagrammic duoprism. Its cells are 7 stips and 5 ships. It has 35 vertices and has pheddippic symmetry. Symbol = o*x o7/2x. It has 24 pieces in two types.

-102. Stagishdip - (STAG ish dip) pentagrammic-great heptagrammic duoprism. Its cells are 7 stips and 5 giships. It has 35 vertices and has pheddippic symmetry. Symbol = o*x o7/3x. It has 24 pieces in two types.

-103. Stastedip - (STASS te dip) pentagrammic-enneagrammic duoprism. Its cells are 9 stips and 5 steps. It has 45 vertices and has peendippic symmetry. Symbol = o*x o9/2x. It has 28 pieces in two types.

-104. Stagstedip - (stag STEE dip) pentagrammic-great enneagrammic duoprism. Its cells are 9 stips and 5 gisteps. It has 45 vertices and has peendippic symmetry. Symbol = o*x o9/4x. It has 28 pieces in two types.

-105. Shestodip - (SHESS to dip) heptagrammic-octagrammic duoprism. Its cells are 7 stops and 8 ships. It has 56 vertices and has heodippic symmetry. Symbol = o8/3x o7/2x. It has 30 pieces in two types.

-106. Gishodip - (GISH o dip) great heptagrammic-octagrammic duoprism. Its cells are 7 stops and 8 giships. It has 56 vertices and has heodippic symmetry. Symbol = o8/3x o7/3x. It has 30 pieces in two types.

-107. Stostedip - (STOSS te dip) octagrammic-enneagrammic duoprism. Its cells are 9 stops and 8 steps. It has 72 vertices and has oedippic symmetry. Symbol = o8/3x o9/2x. It has 34 pieces in two types.

-108. Stogstedip - (stog STEE dip) octagrammic-great enneagrammic duoprism. Its cells are 9 stops and 8 gisteps. It has 72 vertices and has oedippic symmetry. Symbol = o8/3x o9/4x. It has 34 pieces in two types.

-109. Shestadedip - (SHESS ta DEE dip) heptagrammic-decagrammic duoprism. Its cells are 7 stiddips and 10 ships. It has 70 vertices and has hedadippic symmetry. Symbol = o10/3x o7/2x. It has 34 pieces in two types.

-110. Gishstadedip - (GISH sta DEE dip) great heptagrammic-decagrammic duoprism. Its cells are 7 stiddips and 10 giships. It has 70 vertices and has hedadippic symmetry. Symbol = o10/3x o7/3x. It has 34 pieces in two types.

-111. Stestadedip - (STESS ta DEE dip) enneagrammic-decagrammic duoprism. Its cells are 9 stiddips and 10 steps. It has 90 vertices and has edidippic symmetry. Symbol = o10/3x o9/2x. It has 38 pieces in two types.

-112. Gistestadedip - (GIS te sta DEE dip) great enneagrammic-decagrammic duoprism. Its cells are 9 stiddips and 10 gisteps. It has 90 vertices and has edidippic symmetry. Symbol = o10/3x o9/4x. It has 38 pieces in two types.

-113. Shegishdip - (SHE gish dip) heptagrammic-great heptagrammic duoprism. Its cells are 7 ships and 7 giships. It has 49 vertices and has hedippic symmetry. Symbol = o7/2x o7/3x. It has 28 pieces in two types.

-114. Shestedip - (SHESS te dip) heptagrammic-enneagrammic duoprism. Its cells are 9 ships and 7 steps. It has 63 vertices and has heendippic symmetry. Symbol = o7/2x o9/2x. It has 32 pieces in two types.

-115. Shegstedip - (sheg STEE dip) heptagrammic-great enneagrammic duoprism. Its cells are 9 ships and 7 gisteps. It has 63 vertices and has heendippic symmetry. Symbol = o7/2x o9/4x. It has 32 pieces in two types.

-116. Gishstedip - (gish STEE dip) great heptagrammic-enneagrammic duoprism. Its cells are 9 giships and 7 steps. It has 63 vertices and has heendippic symmetry. Symbol = o7/3x o9/2x. It has 32 pieces in two types.

-117. Gishgastedip - (gish GAS te dip) great heptagrammic-great enneagrammic duoprism. Its cells are 9 giships and 7 gisteps. It has 63 vertices and has heendippic symmetry. Symbol = o7/3x o9/4x. It has 32 pieces in two types.

-118. Stegstedip - (steg STEE dip) enneagrammic-great enneagrammic duoprism. Its cells are 9 steps and 9 gisteps. It has 81 vertices and has edippic symmetry. Symbol = o9/2x o9/4x. It has 36 pieces in two types.

Conjugates

Below shows how the duoprisms pair up as conjugates, limited to the trigon and square symmetric ones.

Conjugates

The following are self-conjugate: triddip, thiddip, tisdip, shiddip, hiddip, and ostodip.

The following are conjugate pairs: odip-stodip, todip-tistodip, sodip-sistodip, and hodip-histodip.

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