Polytope of Type {12,20}

Play with this polytope as a twisty puzzle

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {12,20}*1920c
if this polytope has a name.
Group : SmallGroup(1920,238871)
Rank : 3
Schlafli Type : {12,20}
Number of vertices, edges, etc : 48, 480, 80
Order of s0s1s2 : 60
Order of s0s1s2s1 : 4
Special Properties :
   Compact Hyperbolic Quotient
   Locally Spherical
   Orientable
Related Polytopes :
   Facet
   Vertex Figure
   Dual
Facet Of :
   None in this Atlas
Vertex Figure Of :
   None in this Atlas
Quotients (Maximal Quotients in Boldface) :
   2-fold quotients : {12,20}*960b, {6,20}*960e, {12,20}*960c
   4-fold quotients : {12,20}*480, {6,20}*480c
   5-fold quotients : {12,4}*384d
   8-fold quotients : {12,10}*240, {6,20}*240a, {6,20}*240b
   10-fold quotients : {12,4}*192b, {6,4}*192b, {12,4}*192c
   12-fold quotients : {4,20}*160
   16-fold quotients : {6,10}*120
   20-fold quotients : {12,4}*96a, {12,4}*96b, {12,4}*96c, {6,4}*96
   24-fold quotients : {2,20}*80, {4,10}*80
   40-fold quotients : {12,2}*48, {6,4}*48a, {3,4}*48, {6,4}*48b, {6,4}*48c
   48-fold quotients : {2,10}*40
   60-fold quotients : {4,4}*32
   80-fold quotients : {3,4}*24, {6,2}*24
   96-fold quotients : {2,5}*20
   120-fold quotients : {2,4}*16, {4,2}*16
   160-fold quotients : {3,2}*12
   240-fold quotients : {2,2}*8
Covers (Minimal Covers in Boldface) :
   None in this atlas.
Irregular Quotients (of which this is a minimal cover):
   P/N, where N=<s0*s2*s1*s0*s1*s0*s1*s0*s2*s1*s0*s2*s1*s0*s2*s1*s2> of order 2.
      40 facets:
         40 of {12}*24
      24 vertex figures:
         24 of {20}*40
   P/N, where N=<s1*s0*s2*s1*s2*s1*s0*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2> of order 2.
      40 facets:
         40 of {12}*24
      32 vertex figures:
         16 of {20}*40
         16 of {10}*20
   P/N, where N=<s0*s1*s0*s1*s0*s2*s1*s0*s1*s0*s2*s1*s0*s1> of order 2.
      40 facets:
         40 of {12}*24
      24 vertex figures:
         24 of {20}*40
   P/N, where N=<s0*s2*s1*s2*s1*s0*s2*s1*s2*s1*s2> of order 2.
      40 facets:
         40 of {12}*24
      24 vertex figures:
         24 of {20}*40
   P/N, where N=<s0*s1*s2*s1*s0*s1*s2*s1> of order 2.
      40 facets:
         40 of {12}*24
      24 vertex figures:
         24 of {20}*40
   P/N, where N=<s0*s1*s0*s1*s0*s1*s0*s1> of order 3.
      40 facets:
         20 of {4}*8
         20 of {12}*24
      16 vertex figures:
         16 of {20}*40
   P/N, where N=<s0*s1*s2*s1*s0*s1*s2*s1, s0*s1*s0*s1*s2*s1*s0*s1*s2> of order 4.
      20 facets:
         20 of {12}*24
      12 vertex figures:
         12 of {20}*40
   P/N, where N=<s0*s1*s2*s1*s0*s1*s2*s1, s0*s1*s0*s1*s0*s1*s0*s1*s0*s2*s1*s0*s1*s2> of order 4.
      20 facets:
         20 of {12}*24
      12 vertex figures:
         12 of {20}*40
   P/N, where N=<s0*s1*s2*s1*s0*s1*s2*s1, s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2> of order 4.
      20 facets:
         20 of {12}*24
      20 vertex figures:
         16 of {10}*20
         4 of {20}*40

Permutation Representation (GAP) : 
s0 := (  3,  4)(  7,  8)( 11, 12)( 15, 16)( 19, 20)( 21, 41)( 22, 42)( 23, 44)( 24, 43)( 25, 45)( 26, 46)( 27, 48)( 28, 47)( 29, 49)( 30, 50)( 31, 52)( 32, 51)( 33, 53)( 34, 54)( 35, 56)( 36, 55)( 37, 57)( 38, 58)( 39, 60)( 40, 59)( 63, 64)( 67, 68)( 71, 72)( 75, 76)( 79, 80)( 81,101)( 82,102)( 83,104)( 84,103)( 85,105)( 86,106)( 87,108)( 88,107)( 89,109)( 90,110)( 91,112)( 92,111)( 93,113)( 94,114)( 95,116)( 96,115)( 97,117)( 98,118)( 99,120)(100,119)(123,124)(127,128)(131,132)(135,136)(139,140)(141,161)(142,162)(143,164)(144,163)(145,165)(146,166)(147,168)(148,167)(149,169)(150,170)(151,172)(152,171)(153,173)(154,174)(155,176)(156,175)(157,177)(158,178)(159,180)(160,179)(183,184)(187,188)(191,192)(195,196)(199,200)(201,221)(202,222)(203,224)(204,223)(205,225)(206,226)(207,228)(208,227)(209,229)(210,230)(211,232)(212,231)(213,233)(214,234)(215,236)(216,235)(217,237)(218,238)(219,240)(220,239)(241,361)(242,362)(243,364)(244,363)(245,365)(246,366)(247,368)(248,367)(249,369)(250,370)(251,372)(252,371)(253,373)(254,374)(255,376)(256,375)(257,377)(258,378)(259,380)(260,379)(261,401)(262,402)(263,404)(264,403)(265,405)(266,406)(267,408)(268,407)(269,409)(270,410)(271,412)(272,411)(273,413)(274,414)(275,416)(276,415)(277,417)(278,418)(279,420)(280,419)(281,381)(282,382)(283,384)(284,383)(285,385)(286,386)(287,388)(288,387)(289,389)(290,390)(291,392)(292,391)(293,393)(294,394)(295,396)(296,395)(297,397)(298,398)(299,400)(300,399)(301,421)(302,422)(303,424)(304,423)(305,425)(306,426)(307,428)(308,427)(309,429)(310,430)(311,432)(312,431)(313,433)(314,434)(315,436)(316,435)(317,437)(318,438)(319,440)(320,439)(321,461)(322,462)(323,464)(324,463)(325,465)(326,466)(327,468)(328,467)(329,469)(330,470)(331,472)(332,471)(333,473)(334,474)(335,476)(336,475)(337,477)(338,478)(339,480)(340,479)(341,441)(342,442)(343,444)(344,443)(345,445)(346,446)(347,448)(348,447)(349,449)(350,450)(351,452)(352,451)(353,453)(354,454)(355,456)(356,455)(357,457)(358,458)(359,460)(360,459);;
s1 := (  1,261)(  2,264)(  3,263)(  4,262)(  5,277)(  6,280)(  7,279)(  8,278)(  9,273)( 10,276)( 11,275)( 12,274)( 13,269)( 14,272)( 15,271)( 16,270)( 17,265)( 18,268)( 19,267)( 20,266)( 21,241)( 22,244)( 23,243)( 24,242)( 25,257)( 26,260)( 27,259)( 28,258)( 29,253)( 30,256)( 31,255)( 32,254)( 33,249)( 34,252)( 35,251)( 36,250)( 37,245)( 38,248)( 39,247)( 40,246)( 41,281)( 42,284)( 43,283)( 44,282)( 45,297)( 46,300)( 47,299)( 48,298)( 49,293)( 50,296)( 51,295)( 52,294)( 53,289)( 54,292)( 55,291)( 56,290)( 57,285)( 58,288)( 59,287)( 60,286)( 61,321)( 62,324)( 63,323)( 64,322)( 65,337)( 66,340)( 67,339)( 68,338)( 69,333)( 70,336)( 71,335)( 72,334)( 73,329)( 74,332)( 75,331)( 76,330)( 77,325)( 78,328)( 79,327)( 80,326)( 81,301)( 82,304)( 83,303)( 84,302)( 85,317)( 86,320)( 87,319)( 88,318)( 89,313)( 90,316)( 91,315)( 92,314)( 93,309)( 94,312)( 95,311)( 96,310)( 97,305)( 98,308)( 99,307)(100,306)(101,341)(102,344)(103,343)(104,342)(105,357)(106,360)(107,359)(108,358)(109,353)(110,356)(111,355)(112,354)(113,349)(114,352)(115,351)(116,350)(117,345)(118,348)(119,347)(120,346)(121,381)(122,384)(123,383)(124,382)(125,397)(126,400)(127,399)(128,398)(129,393)(130,396)(131,395)(132,394)(133,389)(134,392)(135,391)(136,390)(137,385)(138,388)(139,387)(140,386)(141,361)(142,364)(143,363)(144,362)(145,377)(146,380)(147,379)(148,378)(149,373)(150,376)(151,375)(152,374)(153,369)(154,372)(155,371)(156,370)(157,365)(158,368)(159,367)(160,366)(161,401)(162,404)(163,403)(164,402)(165,417)(166,420)(167,419)(168,418)(169,413)(170,416)(171,415)(172,414)(173,409)(174,412)(175,411)(176,410)(177,405)(178,408)(179,407)(180,406)(181,441)(182,444)(183,443)(184,442)(185,457)(186,460)(187,459)(188,458)(189,453)(190,456)(191,455)(192,454)(193,449)(194,452)(195,451)(196,450)(197,445)(198,448)(199,447)(200,446)(201,421)(202,424)(203,423)(204,422)(205,437)(206,440)(207,439)(208,438)(209,433)(210,436)(211,435)(212,434)(213,429)(214,432)(215,431)(216,430)(217,425)(218,428)(219,427)(220,426)(221,461)(222,464)(223,463)(224,462)(225,477)(226,480)(227,479)(228,478)(229,473)(230,476)(231,475)(232,474)(233,469)(234,472)(235,471)(236,470)(237,465)(238,468)(239,467)(240,466);;
s2 := (  1,  6)(  2,  5)(  3,  8)(  4,  7)(  9, 18)( 10, 17)( 11, 20)( 12, 19)( 13, 14)( 15, 16)( 21, 26)( 22, 25)( 23, 28)( 24, 27)( 29, 38)( 30, 37)( 31, 40)( 32, 39)( 33, 34)( 35, 36)( 41, 46)( 42, 45)( 43, 48)( 44, 47)( 49, 58)( 50, 57)( 51, 60)( 52, 59)( 53, 54)( 55, 56)( 61, 66)( 62, 65)( 63, 68)( 64, 67)( 69, 78)( 70, 77)( 71, 80)( 72, 79)( 73, 74)( 75, 76)( 81, 86)( 82, 85)( 83, 88)( 84, 87)( 89, 98)( 90, 97)( 91,100)( 92, 99)( 93, 94)( 95, 96)(101,106)(102,105)(103,108)(104,107)(109,118)(110,117)(111,120)(112,119)(113,114)(115,116)(121,126)(122,125)(123,128)(124,127)(129,138)(130,137)(131,140)(132,139)(133,134)(135,136)(141,146)(142,145)(143,148)(144,147)(149,158)(150,157)(151,160)(152,159)(153,154)(155,156)(161,166)(162,165)(163,168)(164,167)(169,178)(170,177)(171,180)(172,179)(173,174)(175,176)(181,186)(182,185)(183,188)(184,187)(189,198)(190,197)(191,200)(192,199)(193,194)(195,196)(201,206)(202,205)(203,208)(204,207)(209,218)(210,217)(211,220)(212,219)(213,214)(215,216)(221,226)(222,225)(223,228)(224,227)(229,238)(230,237)(231,240)(232,239)(233,234)(235,236)(241,306)(242,305)(243,308)(244,307)(245,302)(246,301)(247,304)(248,303)(249,318)(250,317)(251,320)(252,319)(253,314)(254,313)(255,316)(256,315)(257,310)(258,309)(259,312)(260,311)(261,326)(262,325)(263,328)(264,327)(265,322)(266,321)(267,324)(268,323)(269,338)(270,337)(271,340)(272,339)(273,334)(274,333)(275,336)(276,335)(277,330)(278,329)(279,332)(280,331)(281,346)(282,345)(283,348)(284,347)(285,342)(286,341)(287,344)(288,343)(289,358)(290,357)(291,360)(292,359)(293,354)(294,353)(295,356)(296,355)(297,350)(298,349)(299,352)(300,351)(361,426)(362,425)(363,428)(364,427)(365,422)(366,421)(367,424)(368,423)(369,438)(370,437)(371,440)(372,439)(373,434)(374,433)(375,436)(376,435)(377,430)(378,429)(379,432)(380,431)(381,446)(382,445)(383,448)(384,447)(385,442)(386,441)(387,444)(388,443)(389,458)(390,457)(391,460)(392,459)(393,454)(394,453)(395,456)(396,455)(397,450)(398,449)(399,452)(400,451)(401,466)(402,465)(403,468)(404,467)(405,462)(406,461)(407,464)(408,463)(409,478)(410,477)(411,480)(412,479)(413,474)(414,473)(415,476)(416,475)(417,470)(418,469)(419,472)(420,471);;
poly := Group([s0,s1,s2]);;
Finitely Presented Group Representation (GAP) : 
F := FreeGroup("s0","s1","s2");;
s0 := F.1;;  s1 := F.2;;  s2 := F.3;;  
rels := [ s0*s0, s1*s1, s2*s2, s0*s2*s0*s2, s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1, 
s0*s1*s2*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1*s2*s1, 
s0*s1*s0*s1*s2*s1*s2*s0*s1*s0*s1*s2*s0*s1*s2*s1*s0*s1, 
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2 ];;
poly := F / rels;;
Permutation Representation (Magma) : 
s0 := Sym(480)!(  3,  4)(  7,  8)( 11, 12)( 15, 16)( 19, 20)( 21, 41)( 22, 42)( 23, 44)( 24, 43)( 25, 45)( 26, 46)( 27, 48)( 28, 47)( 29, 49)( 30, 50)( 31, 52)( 32, 51)( 33, 53)( 34, 54)( 35, 56)( 36, 55)( 37, 57)( 38, 58)( 39, 60)( 40, 59)( 63, 64)( 67, 68)( 71, 72)( 75, 76)( 79, 80)( 81,101)( 82,102)( 83,104)( 84,103)( 85,105)( 86,106)( 87,108)( 88,107)( 89,109)( 90,110)( 91,112)( 92,111)( 93,113)( 94,114)( 95,116)( 96,115)( 97,117)( 98,118)( 99,120)(100,119)(123,124)(127,128)(131,132)(135,136)(139,140)(141,161)(142,162)(143,164)(144,163)(145,165)(146,166)(147,168)(148,167)(149,169)(150,170)(151,172)(152,171)(153,173)(154,174)(155,176)(156,175)(157,177)(158,178)(159,180)(160,179)(183,184)(187,188)(191,192)(195,196)(199,200)(201,221)(202,222)(203,224)(204,223)(205,225)(206,226)(207,228)(208,227)(209,229)(210,230)(211,232)(212,231)(213,233)(214,234)(215,236)(216,235)(217,237)(218,238)(219,240)(220,239)(241,361)(242,362)(243,364)(244,363)(245,365)(246,366)(247,368)(248,367)(249,369)(250,370)(251,372)(252,371)(253,373)(254,374)(255,376)(256,375)(257,377)(258,378)(259,380)(260,379)(261,401)(262,402)(263,404)(264,403)(265,405)(266,406)(267,408)(268,407)(269,409)(270,410)(271,412)(272,411)(273,413)(274,414)(275,416)(276,415)(277,417)(278,418)(279,420)(280,419)(281,381)(282,382)(283,384)(284,383)(285,385)(286,386)(287,388)(288,387)(289,389)(290,390)(291,392)(292,391)(293,393)(294,394)(295,396)(296,395)(297,397)(298,398)(299,400)(300,399)(301,421)(302,422)(303,424)(304,423)(305,425)(306,426)(307,428)(308,427)(309,429)(310,430)(311,432)(312,431)(313,433)(314,434)(315,436)(316,435)(317,437)(318,438)(319,440)(320,439)(321,461)(322,462)(323,464)(324,463)(325,465)(326,466)(327,468)(328,467)(329,469)(330,470)(331,472)(332,471)(333,473)(334,474)(335,476)(336,475)(337,477)(338,478)(339,480)(340,479)(341,441)(342,442)(343,444)(344,443)(345,445)(346,446)(347,448)(348,447)(349,449)(350,450)(351,452)(352,451)(353,453)(354,454)(355,456)(356,455)(357,457)(358,458)(359,460)(360,459);
s1 := Sym(480)!(  1,261)(  2,264)(  3,263)(  4,262)(  5,277)(  6,280)(  7,279)(  8,278)(  9,273)( 10,276)( 11,275)( 12,274)( 13,269)( 14,272)( 15,271)( 16,270)( 17,265)( 18,268)( 19,267)( 20,266)( 21,241)( 22,244)( 23,243)( 24,242)( 25,257)( 26,260)( 27,259)( 28,258)( 29,253)( 30,256)( 31,255)( 32,254)( 33,249)( 34,252)( 35,251)( 36,250)( 37,245)( 38,248)( 39,247)( 40,246)( 41,281)( 42,284)( 43,283)( 44,282)( 45,297)( 46,300)( 47,299)( 48,298)( 49,293)( 50,296)( 51,295)( 52,294)( 53,289)( 54,292)( 55,291)( 56,290)( 57,285)( 58,288)( 59,287)( 60,286)( 61,321)( 62,324)( 63,323)( 64,322)( 65,337)( 66,340)( 67,339)( 68,338)( 69,333)( 70,336)( 71,335)( 72,334)( 73,329)( 74,332)( 75,331)( 76,330)( 77,325)( 78,328)( 79,327)( 80,326)( 81,301)( 82,304)( 83,303)( 84,302)( 85,317)( 86,320)( 87,319)( 88,318)( 89,313)( 90,316)( 91,315)( 92,314)( 93,309)( 94,312)( 95,311)( 96,310)( 97,305)( 98,308)( 99,307)(100,306)(101,341)(102,344)(103,343)(104,342)(105,357)(106,360)(107,359)(108,358)(109,353)(110,356)(111,355)(112,354)(113,349)(114,352)(115,351)(116,350)(117,345)(118,348)(119,347)(120,346)(121,381)(122,384)(123,383)(124,382)(125,397)(126,400)(127,399)(128,398)(129,393)(130,396)(131,395)(132,394)(133,389)(134,392)(135,391)(136,390)(137,385)(138,388)(139,387)(140,386)(141,361)(142,364)(143,363)(144,362)(145,377)(146,380)(147,379)(148,378)(149,373)(150,376)(151,375)(152,374)(153,369)(154,372)(155,371)(156,370)(157,365)(158,368)(159,367)(160,366)(161,401)(162,404)(163,403)(164,402)(165,417)(166,420)(167,419)(168,418)(169,413)(170,416)(171,415)(172,414)(173,409)(174,412)(175,411)(176,410)(177,405)(178,408)(179,407)(180,406)(181,441)(182,444)(183,443)(184,442)(185,457)(186,460)(187,459)(188,458)(189,453)(190,456)(191,455)(192,454)(193,449)(194,452)(195,451)(196,450)(197,445)(198,448)(199,447)(200,446)(201,421)(202,424)(203,423)(204,422)(205,437)(206,440)(207,439)(208,438)(209,433)(210,436)(211,435)(212,434)(213,429)(214,432)(215,431)(216,430)(217,425)(218,428)(219,427)(220,426)(221,461)(222,464)(223,463)(224,462)(225,477)(226,480)(227,479)(228,478)(229,473)(230,476)(231,475)(232,474)(233,469)(234,472)(235,471)(236,470)(237,465)(238,468)(239,467)(240,466);
s2 := Sym(480)!(  1,  6)(  2,  5)(  3,  8)(  4,  7)(  9, 18)( 10, 17)( 11, 20)( 12, 19)( 13, 14)( 15, 16)( 21, 26)( 22, 25)( 23, 28)( 24, 27)( 29, 38)( 30, 37)( 31, 40)( 32, 39)( 33, 34)( 35, 36)( 41, 46)( 42, 45)( 43, 48)( 44, 47)( 49, 58)( 50, 57)( 51, 60)( 52, 59)( 53, 54)( 55, 56)( 61, 66)( 62, 65)( 63, 68)( 64, 67)( 69, 78)( 70, 77)( 71, 80)( 72, 79)( 73, 74)( 75, 76)( 81, 86)( 82, 85)( 83, 88)( 84, 87)( 89, 98)( 90, 97)( 91,100)( 92, 99)( 93, 94)( 95, 96)(101,106)(102,105)(103,108)(104,107)(109,118)(110,117)(111,120)(112,119)(113,114)(115,116)(121,126)(122,125)(123,128)(124,127)(129,138)(130,137)(131,140)(132,139)(133,134)(135,136)(141,146)(142,145)(143,148)(144,147)(149,158)(150,157)(151,160)(152,159)(153,154)(155,156)(161,166)(162,165)(163,168)(164,167)(169,178)(170,177)(171,180)(172,179)(173,174)(175,176)(181,186)(182,185)(183,188)(184,187)(189,198)(190,197)(191,200)(192,199)(193,194)(195,196)(201,206)(202,205)(203,208)(204,207)(209,218)(210,217)(211,220)(212,219)(213,214)(215,216)(221,226)(222,225)(223,228)(224,227)(229,238)(230,237)(231,240)(232,239)(233,234)(235,236)(241,306)(242,305)(243,308)(244,307)(245,302)(246,301)(247,304)(248,303)(249,318)(250,317)(251,320)(252,319)(253,314)(254,313)(255,316)(256,315)(257,310)(258,309)(259,312)(260,311)(261,326)(262,325)(263,328)(264,327)(265,322)(266,321)(267,324)(268,323)(269,338)(270,337)(271,340)(272,339)(273,334)(274,333)(275,336)(276,335)(277,330)(278,329)(279,332)(280,331)(281,346)(282,345)(283,348)(284,347)(285,342)(286,341)(287,344)(288,343)(289,358)(290,357)(291,360)(292,359)(293,354)(294,353)(295,356)(296,355)(297,350)(298,349)(299,352)(300,351)(361,426)(362,425)(363,428)(364,427)(365,422)(366,421)(367,424)(368,423)(369,438)(370,437)(371,440)(372,439)(373,434)(374,433)(375,436)(376,435)(377,430)(378,429)(379,432)(380,431)(381,446)(382,445)(383,448)(384,447)(385,442)(386,441)(387,444)(388,443)(389,458)(390,457)(391,460)(392,459)(393,454)(394,453)(395,456)(396,455)(397,450)(398,449)(399,452)(400,451)(401,466)(402,465)(403,468)(404,467)(405,462)(406,461)(407,464)(408,463)(409,478)(410,477)(411,480)(412,479)(413,474)(414,473)(415,476)(416,475)(417,470)(418,469)(419,472)(420,471);
poly := sub<Sym(480)|s0,s1,s2>;
Finitely Presented Group Representation (Magma) : 
poly<s0,s1,s2> := Group< s0,s1,s2 | s0*s0, s1*s1, s2*s2, 
s0*s2*s0*s2, s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1, 
s0*s1*s2*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1*s2*s1, 
s0*s1*s0*s1*s2*s1*s2*s0*s1*s0*s1*s2*s0*s1*s2*s1*s0*s1, 
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2 >;
References : None.
to this polytope

Twisty Puzzle