Polytope of Type {4,69}

Play with this polytope as a twisty puzzle

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {4,69}*1104
if this polytope has a name.
Group : SmallGroup(1104,162)
Rank : 3
Schlafli Type : {4,69}
Number of vertices, edges, etc : 8, 276, 138
Order of s0s1s2 : 138
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 : {4,69}*552
   4-fold quotients : {2,69}*276
   12-fold quotients : {2,23}*92
   23-fold quotients : {4,3}*48
   46-fold quotients : {4,3}*24
   92-fold quotients : {2,3}*12
Covers (Minimal Covers in Boldface) :
   None in this atlas.
Irregular Quotients (of which this is a minimal cover):
   P/N, where N=<s0*s1*s0*s1> of order 2.
      92 facets:
         46 of {2}*4
         46 of {4}*8
      4 vertex figures:
         4 of {69}*138

Permutation Representation (GAP) : 
s0 := (  1,279)(  2,280)(  3,277)(  4,278)(  5,283)(  6,284)(  7,281)(  8,282)(  9,287)( 10,288)( 11,285)( 12,286)( 13,291)( 14,292)( 15,289)( 16,290)( 17,295)( 18,296)( 19,293)( 20,294)( 21,299)( 22,300)( 23,297)( 24,298)( 25,303)( 26,304)( 27,301)( 28,302)( 29,307)( 30,308)( 31,305)( 32,306)( 33,311)( 34,312)( 35,309)( 36,310)( 37,315)( 38,316)( 39,313)( 40,314)( 41,319)( 42,320)( 43,317)( 44,318)( 45,323)( 46,324)( 47,321)( 48,322)( 49,327)( 50,328)( 51,325)( 52,326)( 53,331)( 54,332)( 55,329)( 56,330)( 57,335)( 58,336)( 59,333)( 60,334)( 61,339)( 62,340)( 63,337)( 64,338)( 65,343)( 66,344)( 67,341)( 68,342)( 69,347)( 70,348)( 71,345)( 72,346)( 73,351)( 74,352)( 75,349)( 76,350)( 77,355)( 78,356)( 79,353)( 80,354)( 81,359)( 82,360)( 83,357)( 84,358)( 85,363)( 86,364)( 87,361)( 88,362)( 89,367)( 90,368)( 91,365)( 92,366)( 93,371)( 94,372)( 95,369)( 96,370)( 97,375)( 98,376)( 99,373)(100,374)(101,379)(102,380)(103,377)(104,378)(105,383)(106,384)(107,381)(108,382)(109,387)(110,388)(111,385)(112,386)(113,391)(114,392)(115,389)(116,390)(117,395)(118,396)(119,393)(120,394)(121,399)(122,400)(123,397)(124,398)(125,403)(126,404)(127,401)(128,402)(129,407)(130,408)(131,405)(132,406)(133,411)(134,412)(135,409)(136,410)(137,415)(138,416)(139,413)(140,414)(141,419)(142,420)(143,417)(144,418)(145,423)(146,424)(147,421)(148,422)(149,427)(150,428)(151,425)(152,426)(153,431)(154,432)(155,429)(156,430)(157,435)(158,436)(159,433)(160,434)(161,439)(162,440)(163,437)(164,438)(165,443)(166,444)(167,441)(168,442)(169,447)(170,448)(171,445)(172,446)(173,451)(174,452)(175,449)(176,450)(177,455)(178,456)(179,453)(180,454)(181,459)(182,460)(183,457)(184,458)(185,463)(186,464)(187,461)(188,462)(189,467)(190,468)(191,465)(192,466)(193,471)(194,472)(195,469)(196,470)(197,475)(198,476)(199,473)(200,474)(201,479)(202,480)(203,477)(204,478)(205,483)(206,484)(207,481)(208,482)(209,487)(210,488)(211,485)(212,486)(213,491)(214,492)(215,489)(216,490)(217,495)(218,496)(219,493)(220,494)(221,499)(222,500)(223,497)(224,498)(225,503)(226,504)(227,501)(228,502)(229,507)(230,508)(231,505)(232,506)(233,511)(234,512)(235,509)(236,510)(237,515)(238,516)(239,513)(240,514)(241,519)(242,520)(243,517)(244,518)(245,523)(246,524)(247,521)(248,522)(249,527)(250,528)(251,525)(252,526)(253,531)(254,532)(255,529)(256,530)(257,535)(258,536)(259,533)(260,534)(261,539)(262,540)(263,537)(264,538)(265,543)(266,544)(267,541)(268,542)(269,547)(270,548)(271,545)(272,546)(273,551)(274,552)(275,549)(276,550);;
s1 := (  3,  4)(  5, 89)(  6, 90)(  7, 92)(  8, 91)(  9, 85)( 10, 86)( 11, 88)( 12, 87)( 13, 81)( 14, 82)( 15, 84)( 16, 83)( 17, 77)( 18, 78)( 19, 80)( 20, 79)( 21, 73)( 22, 74)( 23, 76)( 24, 75)( 25, 69)( 26, 70)( 27, 72)( 28, 71)( 29, 65)( 30, 66)( 31, 68)( 32, 67)( 33, 61)( 34, 62)( 35, 64)( 36, 63)( 37, 57)( 38, 58)( 39, 60)( 40, 59)( 41, 53)( 42, 54)( 43, 56)( 44, 55)( 45, 49)( 46, 50)( 47, 52)( 48, 51)( 93,185)( 94,186)( 95,188)( 96,187)( 97,273)( 98,274)( 99,276)(100,275)(101,269)(102,270)(103,272)(104,271)(105,265)(106,266)(107,268)(108,267)(109,261)(110,262)(111,264)(112,263)(113,257)(114,258)(115,260)(116,259)(117,253)(118,254)(119,256)(120,255)(121,249)(122,250)(123,252)(124,251)(125,245)(126,246)(127,248)(128,247)(129,241)(130,242)(131,244)(132,243)(133,237)(134,238)(135,240)(136,239)(137,233)(138,234)(139,236)(140,235)(141,229)(142,230)(143,232)(144,231)(145,225)(146,226)(147,228)(148,227)(149,221)(150,222)(151,224)(152,223)(153,217)(154,218)(155,220)(156,219)(157,213)(158,214)(159,216)(160,215)(161,209)(162,210)(163,212)(164,211)(165,205)(166,206)(167,208)(168,207)(169,201)(170,202)(171,204)(172,203)(173,197)(174,198)(175,200)(176,199)(177,193)(178,194)(179,196)(180,195)(181,189)(182,190)(183,192)(184,191)(279,280)(281,365)(282,366)(283,368)(284,367)(285,361)(286,362)(287,364)(288,363)(289,357)(290,358)(291,360)(292,359)(293,353)(294,354)(295,356)(296,355)(297,349)(298,350)(299,352)(300,351)(301,345)(302,346)(303,348)(304,347)(305,341)(306,342)(307,344)(308,343)(309,337)(310,338)(311,340)(312,339)(313,333)(314,334)(315,336)(316,335)(317,329)(318,330)(319,332)(320,331)(321,325)(322,326)(323,328)(324,327)(369,461)(370,462)(371,464)(372,463)(373,549)(374,550)(375,552)(376,551)(377,545)(378,546)(379,548)(380,547)(381,541)(382,542)(383,544)(384,543)(385,537)(386,538)(387,540)(388,539)(389,533)(390,534)(391,536)(392,535)(393,529)(394,530)(395,532)(396,531)(397,525)(398,526)(399,528)(400,527)(401,521)(402,522)(403,524)(404,523)(405,517)(406,518)(407,520)(408,519)(409,513)(410,514)(411,516)(412,515)(413,509)(414,510)(415,512)(416,511)(417,505)(418,506)(419,508)(420,507)(421,501)(422,502)(423,504)(424,503)(425,497)(426,498)(427,500)(428,499)(429,493)(430,494)(431,496)(432,495)(433,489)(434,490)(435,492)(436,491)(437,485)(438,486)(439,488)(440,487)(441,481)(442,482)(443,484)(444,483)(445,477)(446,478)(447,480)(448,479)(449,473)(450,474)(451,476)(452,475)(453,469)(454,470)(455,472)(456,471)(457,465)(458,466)(459,468)(460,467);;
s2 := (  1, 97)(  2,100)(  3, 99)(  4, 98)(  5, 93)(  6, 96)(  7, 95)(  8, 94)(  9,181)( 10,184)( 11,183)( 12,182)( 13,177)( 14,180)( 15,179)( 16,178)( 17,173)( 18,176)( 19,175)( 20,174)( 21,169)( 22,172)( 23,171)( 24,170)( 25,165)( 26,168)( 27,167)( 28,166)( 29,161)( 30,164)( 31,163)( 32,162)( 33,157)( 34,160)( 35,159)( 36,158)( 37,153)( 38,156)( 39,155)( 40,154)( 41,149)( 42,152)( 43,151)( 44,150)( 45,145)( 46,148)( 47,147)( 48,146)( 49,141)( 50,144)( 51,143)( 52,142)( 53,137)( 54,140)( 55,139)( 56,138)( 57,133)( 58,136)( 59,135)( 60,134)( 61,129)( 62,132)( 63,131)( 64,130)( 65,125)( 66,128)( 67,127)( 68,126)( 69,121)( 70,124)( 71,123)( 72,122)( 73,117)( 74,120)( 75,119)( 76,118)( 77,113)( 78,116)( 79,115)( 80,114)( 81,109)( 82,112)( 83,111)( 84,110)( 85,105)( 86,108)( 87,107)( 88,106)( 89,101)( 90,104)( 91,103)( 92,102)(185,189)(186,192)(187,191)(188,190)(193,273)(194,276)(195,275)(196,274)(197,269)(198,272)(199,271)(200,270)(201,265)(202,268)(203,267)(204,266)(205,261)(206,264)(207,263)(208,262)(209,257)(210,260)(211,259)(212,258)(213,253)(214,256)(215,255)(216,254)(217,249)(218,252)(219,251)(220,250)(221,245)(222,248)(223,247)(224,246)(225,241)(226,244)(227,243)(228,242)(229,237)(230,240)(231,239)(232,238)(234,236)(277,373)(278,376)(279,375)(280,374)(281,369)(282,372)(283,371)(284,370)(285,457)(286,460)(287,459)(288,458)(289,453)(290,456)(291,455)(292,454)(293,449)(294,452)(295,451)(296,450)(297,445)(298,448)(299,447)(300,446)(301,441)(302,444)(303,443)(304,442)(305,437)(306,440)(307,439)(308,438)(309,433)(310,436)(311,435)(312,434)(313,429)(314,432)(315,431)(316,430)(317,425)(318,428)(319,427)(320,426)(321,421)(322,424)(323,423)(324,422)(325,417)(326,420)(327,419)(328,418)(329,413)(330,416)(331,415)(332,414)(333,409)(334,412)(335,411)(336,410)(337,405)(338,408)(339,407)(340,406)(341,401)(342,404)(343,403)(344,402)(345,397)(346,400)(347,399)(348,398)(349,393)(350,396)(351,395)(352,394)(353,389)(354,392)(355,391)(356,390)(357,385)(358,388)(359,387)(360,386)(361,381)(362,384)(363,383)(364,382)(365,377)(366,380)(367,379)(368,378)(461,465)(462,468)(463,467)(464,466)(469,549)(470,552)(471,551)(472,550)(473,545)(474,548)(475,547)(476,546)(477,541)(478,544)(479,543)(480,542)(481,537)(482,540)(483,539)(484,538)(485,533)(486,536)(487,535)(488,534)(489,529)(490,532)(491,531)(492,530)(493,525)(494,528)(495,527)(496,526)(497,521)(498,524)(499,523)(500,522)(501,517)(502,520)(503,519)(504,518)(505,513)(506,516)(507,515)(508,514)(510,512);;
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*s0*s1*s0*s1*s0*s1, 
s0*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*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*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*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*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(552)!(  1,279)(  2,280)(  3,277)(  4,278)(  5,283)(  6,284)(  7,281)(  8,282)(  9,287)( 10,288)( 11,285)( 12,286)( 13,291)( 14,292)( 15,289)( 16,290)( 17,295)( 18,296)( 19,293)( 20,294)( 21,299)( 22,300)( 23,297)( 24,298)( 25,303)( 26,304)( 27,301)( 28,302)( 29,307)( 30,308)( 31,305)( 32,306)( 33,311)( 34,312)( 35,309)( 36,310)( 37,315)( 38,316)( 39,313)( 40,314)( 41,319)( 42,320)( 43,317)( 44,318)( 45,323)( 46,324)( 47,321)( 48,322)( 49,327)( 50,328)( 51,325)( 52,326)( 53,331)( 54,332)( 55,329)( 56,330)( 57,335)( 58,336)( 59,333)( 60,334)( 61,339)( 62,340)( 63,337)( 64,338)( 65,343)( 66,344)( 67,341)( 68,342)( 69,347)( 70,348)( 71,345)( 72,346)( 73,351)( 74,352)( 75,349)( 76,350)( 77,355)( 78,356)( 79,353)( 80,354)( 81,359)( 82,360)( 83,357)( 84,358)( 85,363)( 86,364)( 87,361)( 88,362)( 89,367)( 90,368)( 91,365)( 92,366)( 93,371)( 94,372)( 95,369)( 96,370)( 97,375)( 98,376)( 99,373)(100,374)(101,379)(102,380)(103,377)(104,378)(105,383)(106,384)(107,381)(108,382)(109,387)(110,388)(111,385)(112,386)(113,391)(114,392)(115,389)(116,390)(117,395)(118,396)(119,393)(120,394)(121,399)(122,400)(123,397)(124,398)(125,403)(126,404)(127,401)(128,402)(129,407)(130,408)(131,405)(132,406)(133,411)(134,412)(135,409)(136,410)(137,415)(138,416)(139,413)(140,414)(141,419)(142,420)(143,417)(144,418)(145,423)(146,424)(147,421)(148,422)(149,427)(150,428)(151,425)(152,426)(153,431)(154,432)(155,429)(156,430)(157,435)(158,436)(159,433)(160,434)(161,439)(162,440)(163,437)(164,438)(165,443)(166,444)(167,441)(168,442)(169,447)(170,448)(171,445)(172,446)(173,451)(174,452)(175,449)(176,450)(177,455)(178,456)(179,453)(180,454)(181,459)(182,460)(183,457)(184,458)(185,463)(186,464)(187,461)(188,462)(189,467)(190,468)(191,465)(192,466)(193,471)(194,472)(195,469)(196,470)(197,475)(198,476)(199,473)(200,474)(201,479)(202,480)(203,477)(204,478)(205,483)(206,484)(207,481)(208,482)(209,487)(210,488)(211,485)(212,486)(213,491)(214,492)(215,489)(216,490)(217,495)(218,496)(219,493)(220,494)(221,499)(222,500)(223,497)(224,498)(225,503)(226,504)(227,501)(228,502)(229,507)(230,508)(231,505)(232,506)(233,511)(234,512)(235,509)(236,510)(237,515)(238,516)(239,513)(240,514)(241,519)(242,520)(243,517)(244,518)(245,523)(246,524)(247,521)(248,522)(249,527)(250,528)(251,525)(252,526)(253,531)(254,532)(255,529)(256,530)(257,535)(258,536)(259,533)(260,534)(261,539)(262,540)(263,537)(264,538)(265,543)(266,544)(267,541)(268,542)(269,547)(270,548)(271,545)(272,546)(273,551)(274,552)(275,549)(276,550);
s1 := Sym(552)!(  3,  4)(  5, 89)(  6, 90)(  7, 92)(  8, 91)(  9, 85)( 10, 86)( 11, 88)( 12, 87)( 13, 81)( 14, 82)( 15, 84)( 16, 83)( 17, 77)( 18, 78)( 19, 80)( 20, 79)( 21, 73)( 22, 74)( 23, 76)( 24, 75)( 25, 69)( 26, 70)( 27, 72)( 28, 71)( 29, 65)( 30, 66)( 31, 68)( 32, 67)( 33, 61)( 34, 62)( 35, 64)( 36, 63)( 37, 57)( 38, 58)( 39, 60)( 40, 59)( 41, 53)( 42, 54)( 43, 56)( 44, 55)( 45, 49)( 46, 50)( 47, 52)( 48, 51)( 93,185)( 94,186)( 95,188)( 96,187)( 97,273)( 98,274)( 99,276)(100,275)(101,269)(102,270)(103,272)(104,271)(105,265)(106,266)(107,268)(108,267)(109,261)(110,262)(111,264)(112,263)(113,257)(114,258)(115,260)(116,259)(117,253)(118,254)(119,256)(120,255)(121,249)(122,250)(123,252)(124,251)(125,245)(126,246)(127,248)(128,247)(129,241)(130,242)(131,244)(132,243)(133,237)(134,238)(135,240)(136,239)(137,233)(138,234)(139,236)(140,235)(141,229)(142,230)(143,232)(144,231)(145,225)(146,226)(147,228)(148,227)(149,221)(150,222)(151,224)(152,223)(153,217)(154,218)(155,220)(156,219)(157,213)(158,214)(159,216)(160,215)(161,209)(162,210)(163,212)(164,211)(165,205)(166,206)(167,208)(168,207)(169,201)(170,202)(171,204)(172,203)(173,197)(174,198)(175,200)(176,199)(177,193)(178,194)(179,196)(180,195)(181,189)(182,190)(183,192)(184,191)(279,280)(281,365)(282,366)(283,368)(284,367)(285,361)(286,362)(287,364)(288,363)(289,357)(290,358)(291,360)(292,359)(293,353)(294,354)(295,356)(296,355)(297,349)(298,350)(299,352)(300,351)(301,345)(302,346)(303,348)(304,347)(305,341)(306,342)(307,344)(308,343)(309,337)(310,338)(311,340)(312,339)(313,333)(314,334)(315,336)(316,335)(317,329)(318,330)(319,332)(320,331)(321,325)(322,326)(323,328)(324,327)(369,461)(370,462)(371,464)(372,463)(373,549)(374,550)(375,552)(376,551)(377,545)(378,546)(379,548)(380,547)(381,541)(382,542)(383,544)(384,543)(385,537)(386,538)(387,540)(388,539)(389,533)(390,534)(391,536)(392,535)(393,529)(394,530)(395,532)(396,531)(397,525)(398,526)(399,528)(400,527)(401,521)(402,522)(403,524)(404,523)(405,517)(406,518)(407,520)(408,519)(409,513)(410,514)(411,516)(412,515)(413,509)(414,510)(415,512)(416,511)(417,505)(418,506)(419,508)(420,507)(421,501)(422,502)(423,504)(424,503)(425,497)(426,498)(427,500)(428,499)(429,493)(430,494)(431,496)(432,495)(433,489)(434,490)(435,492)(436,491)(437,485)(438,486)(439,488)(440,487)(441,481)(442,482)(443,484)(444,483)(445,477)(446,478)(447,480)(448,479)(449,473)(450,474)(451,476)(452,475)(453,469)(454,470)(455,472)(456,471)(457,465)(458,466)(459,468)(460,467);
s2 := Sym(552)!(  1, 97)(  2,100)(  3, 99)(  4, 98)(  5, 93)(  6, 96)(  7, 95)(  8, 94)(  9,181)( 10,184)( 11,183)( 12,182)( 13,177)( 14,180)( 15,179)( 16,178)( 17,173)( 18,176)( 19,175)( 20,174)( 21,169)( 22,172)( 23,171)( 24,170)( 25,165)( 26,168)( 27,167)( 28,166)( 29,161)( 30,164)( 31,163)( 32,162)( 33,157)( 34,160)( 35,159)( 36,158)( 37,153)( 38,156)( 39,155)( 40,154)( 41,149)( 42,152)( 43,151)( 44,150)( 45,145)( 46,148)( 47,147)( 48,146)( 49,141)( 50,144)( 51,143)( 52,142)( 53,137)( 54,140)( 55,139)( 56,138)( 57,133)( 58,136)( 59,135)( 60,134)( 61,129)( 62,132)( 63,131)( 64,130)( 65,125)( 66,128)( 67,127)( 68,126)( 69,121)( 70,124)( 71,123)( 72,122)( 73,117)( 74,120)( 75,119)( 76,118)( 77,113)( 78,116)( 79,115)( 80,114)( 81,109)( 82,112)( 83,111)( 84,110)( 85,105)( 86,108)( 87,107)( 88,106)( 89,101)( 90,104)( 91,103)( 92,102)(185,189)(186,192)(187,191)(188,190)(193,273)(194,276)(195,275)(196,274)(197,269)(198,272)(199,271)(200,270)(201,265)(202,268)(203,267)(204,266)(205,261)(206,264)(207,263)(208,262)(209,257)(210,260)(211,259)(212,258)(213,253)(214,256)(215,255)(216,254)(217,249)(218,252)(219,251)(220,250)(221,245)(222,248)(223,247)(224,246)(225,241)(226,244)(227,243)(228,242)(229,237)(230,240)(231,239)(232,238)(234,236)(277,373)(278,376)(279,375)(280,374)(281,369)(282,372)(283,371)(284,370)(285,457)(286,460)(287,459)(288,458)(289,453)(290,456)(291,455)(292,454)(293,449)(294,452)(295,451)(296,450)(297,445)(298,448)(299,447)(300,446)(301,441)(302,444)(303,443)(304,442)(305,437)(306,440)(307,439)(308,438)(309,433)(310,436)(311,435)(312,434)(313,429)(314,432)(315,431)(316,430)(317,425)(318,428)(319,427)(320,426)(321,421)(322,424)(323,423)(324,422)(325,417)(326,420)(327,419)(328,418)(329,413)(330,416)(331,415)(332,414)(333,409)(334,412)(335,411)(336,410)(337,405)(338,408)(339,407)(340,406)(341,401)(342,404)(343,403)(344,402)(345,397)(346,400)(347,399)(348,398)(349,393)(350,396)(351,395)(352,394)(353,389)(354,392)(355,391)(356,390)(357,385)(358,388)(359,387)(360,386)(361,381)(362,384)(363,383)(364,382)(365,377)(366,380)(367,379)(368,378)(461,465)(462,468)(463,467)(464,466)(469,549)(470,552)(471,551)(472,550)(473,545)(474,548)(475,547)(476,546)(477,541)(478,544)(479,543)(480,542)(481,537)(482,540)(483,539)(484,538)(485,533)(486,536)(487,535)(488,534)(489,529)(490,532)(491,531)(492,530)(493,525)(494,528)(495,527)(496,526)(497,521)(498,524)(499,523)(500,522)(501,517)(502,520)(503,519)(504,518)(505,513)(506,516)(507,515)(508,514)(510,512);
poly := sub<Sym(552)|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*s0*s1*s0*s1*s0*s1, 
s0*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*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*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*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*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