These swirlprisms are in the ex regiment, they have 120 vertices, these were the first ones to be found.
S92. Spysp - (SPISP / small pyramidic swirlprism) - cells are 240 peppies (pentagon pyramids). It almost belongs to the ex regiment (it's missing some of ex's edges). It's verf looks like a pentagon antiprism with five edges carved out in a chiral way. This polychoron has the strange property that it's entire surface is exposed, even though it is not convex - it is actually concave. This object was discovered by George Olshevsky in the early mid-2000's. It is tame and orientable and has 5-swirldoic symmetry.
XS1. Stodsap - (STOD sap / small toroidal digonal swirlprism) - cells are 240 ifbahs (ike faceting 2-6 - originally called 'butterfly pentagonal wedge'). Stodsap is the result of blending two sisps. The cells can be generated by blending two paps within an ike - this is a strange shape with a hole in it - but this shape is exotic, however, it can actually be split where it is two cells connected by two edges - these cells look like some sort of butterfly wedge but with pentagons intersecting inside instead of triangles. It's verf is wacky looking - it looks like you took a hollow gad and blown off some of it's wedges, resulting in some sort of twisted toroid. Stodsap, which is hollow inside, is no doubt one of the most outlandish looking polychora due to the many twisted chasms swirling about each other. I found this oddball around 2004 and later built a model of it's verf. It is wild and orientable and has 2-swirldoic symmetry. It's not considered a legit scaliform and is exotic combocelled.
S93. Sodasp - (SO dasp / small digonal swirlprism) - cells are 120 bissifs (brick symmetric ike faceting - originally called 'spaceships'). It is the result of blending fix with stodsap. The cells look like two fused wedges with disphenoids dangling off the blended area, making it look like a winged spaceship. It's verf has 4 piscoids, 4 long isosceles and 4 small isosceles triangles. The piscoids look like fish swimming by each other. I found this one in summer 2005. It is orientable and tame and has 2-swirldoic symmetry.
S94. Stasp - (STASP / small trigonal swirlprism) - cells are 120 tigdafs (trigonal gad faceting - originally called 'accordion's). To generate the accordion shaped cell, take a gad and stand it on a pseudo-triangle - remove the 6 equatorial pentagons (leaving the top three and bottom three), then add three triangles near the top pseudo-triangle, and do likewise to the bottom - this is the tigdaf. It has a spiky toroidal verf with chiral trigonal antiprism symmetry which has three butterflies and three crossed trapezoids. It is tame and non-orientable. I found it in summer 2005 also. It has 3-swirldoic symmetry.
S95. Sotatsop - (so TAT sop / small toroidal trigonal swirlprism) - cells are 120 toifs (toroidal ike faceting - originally called 'crazy-tube's). To find it's cells, consider the gad mentioned with stasp - this time keep the equatorial pentagons and remove the others - also keep the same set of triangles - the result is some sort of tube shape. Its verf has a chiral trigonal antiprism symmetry and has 6 isosceles triangles and 6 sombraroids. I found this in summer 2005. It is tame and non-orientable and has 3-swirldoic symmetry.
These swirlprisms are in the ex regiment, they have 120 vertices, these were discovered in 2022 by the Polytope Discord Team when trying to find the 1-skidoic ex members using Miratope, with an exception for shisp which was found in 2021 by _Geometer. They actually turned out to have 5-spyritic and 5-skitettic symmetry instead of 1-skidoic and 1-swirldoic (same as 2-skidoic).
S96. Shisp - (SHISP / small hemiswirlprism) - cells are 60 ids and 120 igdoms (ike-gad morpher - a peppyric symmetric ike faceting). _Geometer found this in March 2021. It is wild and non-orientable. It was originally called siksphihy for small chiroswirlprismattic demi120. It has 5-skidoic symmetry.
S97. Shapysp - (SHAY pisp / small hemipyritic swirlprism) - cells are 120a skifs and 60f webocids. It has 5-spyritic symmetry.
S98. Spyhisp - (SPY hisp / small pyritic hemiswirlprism) - cells are 120a gekifs and 60f webocids. It has 5-spyritic symmetry.
S99. Sispy Dehi - (SIS pee DEH hi / small swirlpyritic dis120) - cells are 120e skifs and 120b tets. It has 5-spyritic symmetry.
S100. Mespy Dehi - (MESS pee DEH hi / medial swirlpyritic dis120) - cells are 120e gekifs and 120b tets. It has 5-spyritic symmetry.
S101. Spysap - (SPY sap / small pyritic swirlprism) - cells are 120b iftits. It has 5-spyritic symmetry.
S102. Sispy Hihy - (SIS pee HI hee / small swirlpyritic 120hemi120) - cells are 120h iftits and 60g tibocids. It has 5-spyritic symmetry.
S103. Skitsap - (SKIT sap / small kitettic swirlprism) - cells are 120a ifbahs and 120a+120d tets. It has 5-skitettic symmetry.
S104. Skit Hisp - (SKIT hisp / small kitettic hemiswirlprism) - cells are 120g ifbahs and 60j tibocids. It has 5-skitettic symmetry.
S105. Shakitsop - (SHACK it sop / small hemi kitettic swirlprism) - cells are 120c ifhahs, 60f tibocids, and 120a+120d tets. It has 5-skitettic symmetry.
The search for 3-skidoic, 2-skidoic, and 1-skidoic members are yet to be done.
These 10 fissary swirlprisms are in the ex regiment, these were discovered in 2022 by the Polytope Discord Team using Miratope. These have 5-spyritic symmetry. The last of these is comboscaliform.
SF12. Sifapysp - (SI fa pisp / small fissary pyritic swirlprism) - cells are 120b tets and 120b ifhahs.
SF13. Mifapysp - (MI fa pisp / medial fissary pyritic swirlprism) - cells are 120b tets and 120e ribdis.
SF14. Sifpy Hosp - (SIF pee hosp / small fissary pyritic hemiswirlprism) - cells are 120b tets, 120a mibdis, and 60g tibocids.
SF15. Sif Happysap - (sif HAP pee sap / small fissary hemipyritic swirlprism) - cells are 120b tets, 120c gekifs, and 60g tibocids.
SF16. Mif Happysap - (mif HAP pee sap / medial fissary hemipyritic swirlprism) - cells are 120b tets, 120j skifs, and 60g tibocids.
SF17. Spyfehsp - (SPY fehsp / small pyritic fissary hemiswirlprism) - cells are 120b tets, 120a bissifs, and 60f webocids.
SF18. Shippy Fisp - (SHIP pee fisp / small hemipyritic fissary swirlprism) - cells are 120b bissifs and 60g tibocids.
SF19. Fappy Shosp - (FAP pee shosp / fissary pyritic small hemiswirlprism) - cells are 120b paps and 60g tibocids.
SF20. Fahpy Sesp - (FAH pee sesp / fissary hemipyritic small swirlprism) - cells are 120h ifhahs and 60f webocids.
SF21. Sappy Pyhasp - (SAP pee PI hasp / small pyritic pyrihemiswirlprism) - cells are 120ag 2peppies and 60g tibocids. This one is combo-scaliform.
These 14 fissary swirlprisms are in the ex regiment, these were discovered in 2022 by the Polytope Discord Team using Miratope. These have 5-skitettic symmetry and have tets among their cells. The last of these is comboscaliform.
SF22. Sofikthasp - (SO fik thasp / small fissary kitettic hemiswirlprism) - cells are 120b tets, 120c skifs, and 60e tibocids.
SF23. Mofikthasp - (MO fik thasp / medial fissary kitettic hemiswirlprism) - cells are 120b tets, 120d gekifs, and 60h tibocids.
SF24. Sefahkitsap - (seh FAH kit sap / small fissary hemikitettic swirlprism) - cells are 120b tets, 120a igdoms, and 60d tibocids.
SF25. Shakit Fesp - (SHAY kit fesp / small hemikitettic fissary swirlprism) - cells are 120b tets, 120b togadics, and 60i tibocids.
SF26. Sofketsup - (sof KET sup / small fissary kitettic swirlprism) - cells are 120c+120d tets, 120c dibs.
SF27. Stughosp - (stuh GHOSP / small tetragirdled hemiswirlprism) - cells are 120a+120d tets, 120e ifbahs, 60e tibocids.
SF28. Shutgasp - (SHUT gasp / small hemitetragirdled swirlprism) - cells are 120a+120d tets, 120a togadics, 60f tibocids
SF29. Skitfasp - (SKIT fasp / small kitettic fissary swirlprism) - cells are 120a+120d tets, 120e togadics.
SF30. Mutghosp - (MUT ghosp / medial tetragirdled hemiswirlprism) - cells are 120a+120c tets, 120h ifbahs, and 60f tibocids.
SF31. Mahtgasp - (MAHT gasp / medial hemitetragirdled swirlprism) - cells are 120a+120c tets, 120e ifhahs, and 60c tibocids.
SF32. Tugshisp - (TUG shisp / tetragirdled small hemiswirlprism) - cells are 120a+120c tets, 120k togadics, and 60f tibocids.
SF33. Sidtugohsp - (SID tuh ghosp / small ditetragirdled hemiswirlprism) - cells are 120a+120e tets, 120b ifbahs, and 60h tibocids.
SF34. Detugshosp - (de TUG shosp / ditetragirdled small hemiswirlprism) - cells are 120a+120e tets, 120f togadics, and 60b webocids.
SF35. Shidditgasp - (SHID dit gasp / small hemiditetragirdled swirlprism) - cells are 120a+120e tets, 12a iftits, and 60h tibocids. This one is combo-scaliform.
These 17 fissary swirlprisms are in the ex regiment, these were discovered in 2022 by the Polytope Discord Team using Miratope. These have 5-skitettic symmetry and have no tets.
SF36. Askathasp - (ASK a thasp / alpha small kitettic hemiswirlprism) - cells are 120b mibdis and 60j tibocids.
SF37. Beskithesp - (BESS keh thesp / beta small kitettic hemiswirlprism) - cells are 120a ribdis and 60c tibocids.
SF38. Gaskithasp - (GAS keh thasp / gamma small kitettic hemiswirlprism) - cells are 120b ribdis and 60b tibocids.
SF39. Deskithasp - (DES keh thasp / delta small kitettic hemiswirlprism) - cells are 120c iftits and 60b tibocids.
SF40. Eskithesp - (ESS keh thesp / epsilon small kitettic hemiswirlprism) - cells are 120f iftits and 60f tibocids.
SF41. Zeskithesp - (ZESS keh thesp / zeta small kitettic hemiswirlprism) - cells are 120a ifhahs and 60a tibocids.
SF42. Heskathesp - (HESS ka thesp / eta small kitettic hemiswirlprism) - cells are 120f ifbahs and 60h tibocids.
SF43. Ahktessup - (ahk TES sup / alpha hemikitettic small swirlprism) - cells are 120b gekifs and 60e tibocids.
SF44. Behktessup - (beck TES sup / beta hemikitettic small swirlprism) - cells are 120b skifs and 60a webocids.
SF45. Gahktessup - (gawk TES sup / gamma hemikitettic small swirlprism) - cells are 120d skifs and 60c webocids.
SF46. Dahktessup - (dawk TES sup / delta hemikitettic small swirlprism) - cells are 120e gekifs and 60g webocids.
SF47. Akit Shesp - (AKE it shesp / alpha kitettic small hemiswirlprism) - cells are 120a dibs and 60e webocids.
SF48. Bekit Shesp - (BEEK it shesp / beta kitettic small hemiswirlprism) - cells are 120b dibs and 60a webocids.
SF49. Gakit Shesp - (GAKE it shesp / gamma kitettic small hemiswirlprism) - cells are 120e dibs and 60g webocids.
SF50. Dekit Shesp - (DEEK it shesp / delta kitettic small hemiswirlprism) - cells are 120a toscuffis and 60a tibocids.
SF51. Ekit Shesp - (EEK it shesp / epsilon kitettic small hemiswirlprism) - cells are 120c toscuffis and 60i tibocids.
SF52. Zekit Shesp - (ZEEK it shesp / zeta kitettic small hemiswirlprism) - cells are 120c togadics and 60e webocids.
These swirlprisms are in the gishi regiment with gisp, they have 120 vertices. These were the original batch.
S106. Gypasp - (JI pasp / great pyramidic swirlprism) - cells are 240 stappies which are grouped in pairs. It almost belongs to the gishi regiment. It's verf looks like a twisted stap. It was also found by George Olshevsky during the spysp discovery. It is tame and orientable with 5-swirldoic symmetry.
XS2. Gatodsap - (ga TODD sap / great toroidal digonal swirlprism) - cells are 240 gifbahs (gike faceting 2-6, originally called 'two-star thingy'). It is the result of blending two gisps. The cells can be found by blending two starps within a gike, which is splitable - split it into it's two parts, these parts are the cells. It's verf is the result of blending two gisp verfs. This polychoron will also be wacky looking and quite spiky. I found this one around 2004. It is wild and orientable and has 2-swirldoic symmetry. It looks fissary, but this is caused by the "two star thingy's" forming positive-negative pairs and thus removing their intersection areas out. Due to its ambiguous nature, we could consider it as exotic combo-celled instead of legit.
S107. Godasp - (GO dasp / great digonal swirlprism) - cells are 120 bisgifs (brick symmetric gike faceting - originally called 'four-star thingy'). It is the result of blending gofix with gatodsap. It's cells will have four stars in it along with eight triangles. Its verf has a strange look, it reminds me of a Rubik's puzzle with partially twisted faces. The verf has 4 sombraroids, 4 long and 4 short isosceles triangles. I found this one in summer 2005. It is orientable and tame with 2-swirldoic symmetry.
S108. Gotasp - (GO tasp / great trigonal swirlprism) - cells are 120 tissidafs (trigonal sissid faceting - originally called 'six-star thingy'). I found it in summer 2005 also. Its verf has 6 trapezoids and 6 butterflies and has chiral trigonal antiprism symmetry. It is tame and non-orientable with 3-swirldoic symmetry.
S109. Gotatsop - (go TAT sop / great toroidal trigonal swirlprism) - cells are 120 togifs (toroidal gike faceting - originally called 'six-star-thingamajig'). I found it in summer 2005. Its toroidal verf has chiral trigonal antiprism symmetry and has 6 isosceles triangles and 6 piscoids. It is tame and non-orientable with 3-swirldoic symmetry.
These swirlprisms are in the gishi regiment, they have 120 vertices. They were discovered in 2022 by the Polytope Discord Team when trying to find the 1-skidoic gishi members using Miratope, with an exception for ghosp which was found in 2021 by _Geometer. They actually turned out to have 5-spyritic and 5-skitettic symmetry instead of 1-skidoic and 1-swirldoic (same as 2-skidoic).
S110. Ghosp - (GOHSP / great hemiswirlprism) - cells are 60 gids and 120 gissdoms (gike-sissid morpher - a peppyric symmetric gike faceting). _Geometer found this in March 2021. It was originally called giksphihy for great chiroswirlprismattic demi120. It is wild and non-orientable and has 5-skidoic symmetry.
S111. Ghapysp - (GAH pisp / great hemipyritic swirlprism) - cells are 120a skagifs and 60f tibcugids. It has 5-spyritic symmetry.
S112. Gopyhisp - (GAH pee hisp / great pyritic hemiswirlprism) - cells are 120a gekgifs and 60f tibcugids. It has 5-spyritic symmetry.
S113. Gispy Dehi - (GIS pee DEH hi / great swirlpyritic dis120) - cells are 120e skagifs and 120b tets. It has 5-spyritic symmetry.
S114. Gaspy Dehi - (GAS pee DEH hi / grand swirlpyritic dis120) - cells are 120e gekgifs and 120b tets. It has 5-spyritic symmetry.
S115. Gopysap - (GAH pee sap / great pyritic swirlprism) - cells are 120b giftits. It has 5-spyritic symmetry.
S116. Gispy Hihy - (GIS pee HI hee / great swirlpyritic 120hemi120) - cells are 120h giftits and 60g webcugids. It has 5-spyritic symmetry.
S117. Gekitsap - (GEK it sap / great kitettic swirlprism) - cells are 120a gifbahs and 120a+120d tets. It has 5-skitettic symmetry.
S118. Gekit Hisp - (GEK it hisp / great kitettic hemiswirlprism) - cells are 120g gifbahs and 60j webcugids. It has 5-skitettic symmetry.
S119. Ghakitsop - (GACK it sop / great hemi kitettic swirlprism) - cells are 120c gifhahs, 60f webcugids, and 120a+120d tets. It has 5-skitettic symmetry.
The search for 3-skidoic, 2-skidoic, and 1-skidoic members are yet to be done.
These 10 fissary swirlprisms are in the gishi regiment, these were discovered in 2022 by the Polytope Discord Team using Miratope. These have 5-spyritic symmetry. The last of these is comboscaliform.
SF53. Gifapysp - (GI fa pisp / great fissary pyritic swirlprism) - cells are 120b tets and 120b gifhahs.
SF54. Gafapysp - (GAY fa pisp / grand fissary pyritic swirlprism) - cells are 120b tets and 120e rebergis.
SF55. Gifpy Hosp - (GIF pee hosp / great fissary pyritic hemiswirlprism) - cells are 120b tets, 120a mebergis, and 60g webcugids.
SF56. Gif Happysap - (gif HAP pee sap / great fissary hemipyritic swirlprism) - cells are 120b tets, 120c gekgifs, and 60g webcugids.
SF57. Gaf Happysap - (gaf HAP pee sap / grand fissary hemipyritic swirlprism) - cells are 120b tets, 120j skagifs, and 60g webcugids.
SF58. Gopyfehsp - (GAH pee fehsp / great pyritic fissary hemiswirlprism) - cells are 120b tets, 120a bisgifs, and 60f tibcugids.
SF59. Gheppy Fisp - (GEP pee fisp / great hemipyritic fissary swirlprism) - cells are 120b bisgifs and 60g webcugids.
SF60. Fappy Ghosp - (FAP pee ghosp / fissary pyritic great hemiswirlprism) - cells are 120b starps and 60g webcugids.
SF61. Fahpy Gasp - (FAH pee gasp / fissary hemipyritic great swirlprism) - cells are 120h gifhahs and 60f tibcugids.
SF62. Gappy Pyhasp - (SAP pee PI hasp / great pyritic pyrihemiswirlprism) - cells are 120ag 2stappies and 60g webcugids. This one is combo-scaliform.
These 14 fissary swirlprisms are in the gishi regiment, these were discovered in 2022 by the Polytope Discord Team using Miratope. These have 5-skitettic symmetry and have tets among their cells. The last of these is comboscaliform.
SF63. Gofikthasp - (GO fik thasp / great fissary kitettic hemiswirlprism) - cells are 120b tets, 120c skagifs, and 60e webcugids.
SF64. Gafikthasp - (GAY fik thasp / grand fissary kitettic hemiswirlprism) - cells are 120b tets, 120d gekgifs, and 60h webcugids.
SF65. Gefahkitsap - (geh FAH kit sap / great fissary hemikitettic swirlprism) - cells are 120b tets, 120a gissdoms, and 60d webcugids.
SF66. Gahkit Fesp - (GAH kit fesp / great hemikitettic fissary swirlprism) - cells are 120b tets, 120b tosadics, and 60i webcugids.
SF67. Gofketsup - (gof KET sup / great fissary kitettic swirlprism) - cells are 120c+120d tets, 120c regibs.
SF68. Getughosp - (GET tuh ghosp / great tetragirdled hemiswirlprism) - cells are 120a+120d tets, 120e gifbahs, 60e webcugids.
SF69. Ghutgasp - (GUHT gasp / great hemitetragirdled swirlprism) - cells are 120a+120d tets, 120a tosadics, 60f webcugids
SF70. Gekitfasp - (GEK it fasp / great kitettic fissary swirlprism) - cells are 120a+120d tets, 120e tosadics.
SF71. Gutghosp - (GUT ghosp / grand tetragirdled hemiswirlprism) - cells are 120a+120c tets, 120h gifbahs, and 60f webcugids.
SF72. Gahtgasp - (GAHT gasp / grand hemitetragirdled swirlprism) - cells are 120a+120c tets, 120e gifhahs, and 60c webcugids.
SF73. Tugaghosp - (TUG a ghosp / tetragirdled great hemiswirlprism) - cells are 120a+120c tets, 120k tosadics, and 60f webcugids.
SF74. Gidtugohsp - (GID tuh ghosp / great ditetragirdled hemiswirlprism) - cells are 120a+120e tets, 120b gifbahs, and 60h webcugids.
SF75. Detug Ghosp - (de TUG ghosp / ditetragirdled great hemiswirlprism) - cells are 120a+120e tets, 120f tosadics, and 60b tibcugids.
SF76. Gahditgasp - (GAH dit gasp / great hemiditetragirdled swirlprism) - cells are 120a+120e tets, 12a giftits, and 60h webcugids. This one is combo-scaliform.
These 17 fissary swirlprisms are in the gishi regiment, these were discovered in 2022 by the Polytope Discord Team using Miratope. These have 5-skitettic symmetry and have no tets.
SF77. Ag Kathasp - (AG ka thasp / alpha great kitettic hemiswirlprism) - cells are 120b mebergis and 60j webcugids.
SF78. Big Kathesp - (BIG ka thesp / beta great kitettic hemiswirlprism) - cells are 120a rebergis and 60c webcugids.
SF79. Gag Kithasp - (GAG keh thasp / gamma great kitettic hemiswirlprism) - cells are 120b rebergis and 60b webcuids.
SF80. Dig Kathesp - (DIG ka thesp / delta great kitettic hemiswirlprism) - cells are 120c giftits and 60b webcugids.
SF81. Egg Kethasp - (EGG keh thasp / epsilon great kitettic hemiswirlprism) - cells are 120f giftits and 60f webcugids.
SF82. Zog Kithesp - (ZOG keh thesp / zeta great kitettic hemiswirlprism) - cells are 120a gifhahs and 60a webcugids.
SF83. Heg Kathesp - (HEG ka thesp / eta great kitettic hemiswirlprism) - cells are 120f gifbahs and 60h webcugids.
SF84. Ahketgasp - (AWK it gasp / alpha hemikitettic great swirlprism) - cells are 120b gekgifs and 60e webcugids.
SF85. Behkitgasp - (BECK it gasp / beta hemikitettic great swirlprism) - cells are 120b skagifs and 60a tibcugids.
SF86. Gahkitgasp - (GAWK it gasp / gamma hemikitettic great swirlprism) - cells are 120d skagifs and 60c tibcugids.
SF87. Dahkitgasp - (DAWK it gasp / delta hemikitettic great swirlprism) - cells are 120e gekgifs and 60g tibcugids.
SF88. Akit Ghosp - (AKE it ghosp / alpha kitettic great hemiswirlprism) - cells are 120a regibs and 60e tibcugids.
SF89. Bekit Ghosp - (BEEK it ghosp / beta kitettic great hemiswirlprism) - cells are 120b regibs and 60a tibcugids.
SF90. Gakit Ghosp - (GAKE it ghosp / gamma kitettic great hemiswirlprism) - cells are 120e regibs and 60g tibcugids.
SF91. Dekit Ghosp - (DEEK it ghosp / delta kitettic great hemiswirlprism) - cells are 120a tescufgis and 60a webcugids.
SF92. Ekit Ghosp - (EEK it ghosp / epsilon kitettic great hemiswirlprism) - cells are 120c tescufgis and 60i webcugids.
SF93. Zekit Ghosp - (ZEEK it ghosp / zeta kitettic great hemiswirlprism) - cells are 120c tosadics and 60e tibcugids.
Conjugates
The following are conjugate pairs: spysp-gypasp, stodsap-gatodsap, sodasp-godasp, stasp-gotasp, sotatsop-gotatsop, shisp-ghosp, shapysp-ghapysp,spyhisp-gopyhisp, sispy dehi-gispy dehi, spysap-gopysap, sispy hihy-gispy hihy, skitsap-gekitsap, skit hisp-gekit hisp, shakitsop-ghakitsop.
Category S3: Special Scaliforms --- back to Polychoron Page --- Category S5: Ondip Family
