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Polytope of Type {6,6,8}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {6,6,8}*1728d
if this polytope has a name.
Group : SmallGroup(1728,30298)
Rank : 4
Schlafli Type : {6,6,8}
Number of vertices, edges, etc : 9, 54, 72, 16
Order of s0s1s2s3 : 12
Order of s0s1s2s3s2s1 : 2
Special Properties :
   Non-Orientable
   Flat
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 : {6,6,4}*864d
   4-fold quotients : {6,6,4}*432
   8-fold quotients : {6,6,2}*216
Covers (Minimal Covers in Boldface) :
   None in this atlas.
Permutation Representation (GAP) :
s0 := (  9, 17)( 10, 18)( 11, 19)( 12, 20)( 13, 21)( 14, 22)( 15, 23)( 16, 24)
( 25, 49)( 26, 50)( 27, 51)( 28, 52)( 29, 53)( 30, 54)( 31, 55)( 32, 56)
( 33, 65)( 34, 66)( 35, 67)( 36, 68)( 37, 69)( 38, 70)( 39, 71)( 40, 72)
( 41, 57)( 42, 58)( 43, 59)( 44, 60)( 45, 61)( 46, 62)( 47, 63)( 48, 64)
( 81, 89)( 82, 90)( 83, 91)( 84, 92)( 85, 93)( 86, 94)( 87, 95)( 88, 96)
( 97,121)( 98,122)( 99,123)(100,124)(101,125)(102,126)(103,127)(104,128)
(105,137)(106,138)(107,139)(108,140)(109,141)(110,142)(111,143)(112,144)
(113,129)(114,130)(115,131)(116,132)(117,133)(118,134)(119,135)(120,136)
(153,161)(154,162)(155,163)(156,164)(157,165)(158,166)(159,167)(160,168)
(169,193)(170,194)(171,195)(172,196)(173,197)(174,198)(175,199)(176,200)
(177,209)(178,210)(179,211)(180,212)(181,213)(182,214)(183,215)(184,216)
(185,201)(186,202)(187,203)(188,204)(189,205)(190,206)(191,207)(192,208)
(225,233)(226,234)(227,235)(228,236)(229,237)(230,238)(231,239)(232,240)
(241,265)(242,266)(243,267)(244,268)(245,269)(246,270)(247,271)(248,272)
(249,281)(250,282)(251,283)(252,284)(253,285)(254,286)(255,287)(256,288)
(257,273)(258,274)(259,275)(260,276)(261,277)(262,278)(263,279)(264,280)
(297,305)(298,306)(299,307)(300,308)(301,309)(302,310)(303,311)(304,312)
(313,337)(314,338)(315,339)(316,340)(317,341)(318,342)(319,343)(320,344)
(321,353)(322,354)(323,355)(324,356)(325,357)(326,358)(327,359)(328,360)
(329,345)(330,346)(331,347)(332,348)(333,349)(334,350)(335,351)(336,352)
(369,377)(370,378)(371,379)(372,380)(373,381)(374,382)(375,383)(376,384)
(385,409)(386,410)(387,411)(388,412)(389,413)(390,414)(391,415)(392,416)
(393,425)(394,426)(395,427)(396,428)(397,429)(398,430)(399,431)(400,432)
(401,417)(402,418)(403,419)(404,420)(405,421)(406,422)(407,423)(408,424);;
s1 := (  1, 25)(  2, 26)(  3, 28)(  4, 27)(  5, 31)(  6, 32)(  7, 29)(  8, 30)
(  9, 33)( 10, 34)( 11, 36)( 12, 35)( 13, 39)( 14, 40)( 15, 37)( 16, 38)
( 17, 41)( 18, 42)( 19, 44)( 20, 43)( 21, 47)( 22, 48)( 23, 45)( 24, 46)
( 51, 52)( 53, 55)( 54, 56)( 59, 60)( 61, 63)( 62, 64)( 67, 68)( 69, 71)
( 70, 72)( 73,169)( 74,170)( 75,172)( 76,171)( 77,175)( 78,176)( 79,173)
( 80,174)( 81,177)( 82,178)( 83,180)( 84,179)( 85,183)( 86,184)( 87,181)
( 88,182)( 89,185)( 90,186)( 91,188)( 92,187)( 93,191)( 94,192)( 95,189)
( 96,190)( 97,145)( 98,146)( 99,148)(100,147)(101,151)(102,152)(103,149)
(104,150)(105,153)(106,154)(107,156)(108,155)(109,159)(110,160)(111,157)
(112,158)(113,161)(114,162)(115,164)(116,163)(117,167)(118,168)(119,165)
(120,166)(121,193)(122,194)(123,196)(124,195)(125,199)(126,200)(127,197)
(128,198)(129,201)(130,202)(131,204)(132,203)(133,207)(134,208)(135,205)
(136,206)(137,209)(138,210)(139,212)(140,211)(141,215)(142,216)(143,213)
(144,214)(217,242)(218,241)(219,243)(220,244)(221,248)(222,247)(223,246)
(224,245)(225,250)(226,249)(227,251)(228,252)(229,256)(230,255)(231,254)
(232,253)(233,258)(234,257)(235,259)(236,260)(237,264)(238,263)(239,262)
(240,261)(265,266)(269,272)(270,271)(273,274)(277,280)(278,279)(281,282)
(285,288)(286,287)(289,386)(290,385)(291,387)(292,388)(293,392)(294,391)
(295,390)(296,389)(297,394)(298,393)(299,395)(300,396)(301,400)(302,399)
(303,398)(304,397)(305,402)(306,401)(307,403)(308,404)(309,408)(310,407)
(311,406)(312,405)(313,362)(314,361)(315,363)(316,364)(317,368)(318,367)
(319,366)(320,365)(321,370)(322,369)(323,371)(324,372)(325,376)(326,375)
(327,374)(328,373)(329,378)(330,377)(331,379)(332,380)(333,384)(334,383)
(335,382)(336,381)(337,410)(338,409)(339,411)(340,412)(341,416)(342,415)
(343,414)(344,413)(345,418)(346,417)(347,419)(348,420)(349,424)(350,423)
(351,422)(352,421)(353,426)(354,425)(355,427)(356,428)(357,432)(358,431)
(359,430)(360,429);;
s2 := (  1, 73)(  2, 74)(  3, 79)(  4, 80)(  5, 78)(  6, 77)(  7, 75)(  8, 76)
(  9, 89)( 10, 90)( 11, 95)( 12, 96)( 13, 94)( 14, 93)( 15, 91)( 16, 92)
( 17, 81)( 18, 82)( 19, 87)( 20, 88)( 21, 86)( 22, 85)( 23, 83)( 24, 84)
( 25,105)( 26,106)( 27,111)( 28,112)( 29,110)( 30,109)( 31,107)( 32,108)
( 33, 97)( 34, 98)( 35,103)( 36,104)( 37,102)( 38,101)( 39, 99)( 40,100)
( 41,113)( 42,114)( 43,119)( 44,120)( 45,118)( 46,117)( 47,115)( 48,116)
( 49,137)( 50,138)( 51,143)( 52,144)( 53,142)( 54,141)( 55,139)( 56,140)
( 57,129)( 58,130)( 59,135)( 60,136)( 61,134)( 62,133)( 63,131)( 64,132)
( 65,121)( 66,122)( 67,127)( 68,128)( 69,126)( 70,125)( 71,123)( 72,124)
(147,151)(148,152)(149,150)(153,161)(154,162)(155,167)(156,168)(157,166)
(158,165)(159,163)(160,164)(169,177)(170,178)(171,183)(172,184)(173,182)
(174,181)(175,179)(176,180)(187,191)(188,192)(189,190)(193,209)(194,210)
(195,215)(196,216)(197,214)(198,213)(199,211)(200,212)(203,207)(204,208)
(205,206)(217,290)(218,289)(219,296)(220,295)(221,293)(222,294)(223,292)
(224,291)(225,306)(226,305)(227,312)(228,311)(229,309)(230,310)(231,308)
(232,307)(233,298)(234,297)(235,304)(236,303)(237,301)(238,302)(239,300)
(240,299)(241,322)(242,321)(243,328)(244,327)(245,325)(246,326)(247,324)
(248,323)(249,314)(250,313)(251,320)(252,319)(253,317)(254,318)(255,316)
(256,315)(257,330)(258,329)(259,336)(260,335)(261,333)(262,334)(263,332)
(264,331)(265,354)(266,353)(267,360)(268,359)(269,357)(270,358)(271,356)
(272,355)(273,346)(274,345)(275,352)(276,351)(277,349)(278,350)(279,348)
(280,347)(281,338)(282,337)(283,344)(284,343)(285,341)(286,342)(287,340)
(288,339)(361,362)(363,368)(364,367)(369,378)(370,377)(371,384)(372,383)
(373,381)(374,382)(375,380)(376,379)(385,394)(386,393)(387,400)(388,399)
(389,397)(390,398)(391,396)(392,395)(401,402)(403,408)(404,407)(409,426)
(410,425)(411,432)(412,431)(413,429)(414,430)(415,428)(416,427)(417,418)
(419,424)(420,423);;
s3 := (  1,219)(  2,220)(  3,218)(  4,217)(  5,223)(  6,224)(  7,222)(  8,221)
(  9,227)( 10,228)( 11,226)( 12,225)( 13,231)( 14,232)( 15,230)( 16,229)
( 17,235)( 18,236)( 19,234)( 20,233)( 21,239)( 22,240)( 23,238)( 24,237)
( 25,243)( 26,244)( 27,242)( 28,241)( 29,247)( 30,248)( 31,246)( 32,245)
( 33,251)( 34,252)( 35,250)( 36,249)( 37,255)( 38,256)( 39,254)( 40,253)
( 41,259)( 42,260)( 43,258)( 44,257)( 45,263)( 46,264)( 47,262)( 48,261)
( 49,267)( 50,268)( 51,266)( 52,265)( 53,271)( 54,272)( 55,270)( 56,269)
( 57,275)( 58,276)( 59,274)( 60,273)( 61,279)( 62,280)( 63,278)( 64,277)
( 65,283)( 66,284)( 67,282)( 68,281)( 69,287)( 70,288)( 71,286)( 72,285)
( 73,291)( 74,292)( 75,290)( 76,289)( 77,295)( 78,296)( 79,294)( 80,293)
( 81,299)( 82,300)( 83,298)( 84,297)( 85,303)( 86,304)( 87,302)( 88,301)
( 89,307)( 90,308)( 91,306)( 92,305)( 93,311)( 94,312)( 95,310)( 96,309)
( 97,315)( 98,316)( 99,314)(100,313)(101,319)(102,320)(103,318)(104,317)
(105,323)(106,324)(107,322)(108,321)(109,327)(110,328)(111,326)(112,325)
(113,331)(114,332)(115,330)(116,329)(117,335)(118,336)(119,334)(120,333)
(121,339)(122,340)(123,338)(124,337)(125,343)(126,344)(127,342)(128,341)
(129,347)(130,348)(131,346)(132,345)(133,351)(134,352)(135,350)(136,349)
(137,355)(138,356)(139,354)(140,353)(141,359)(142,360)(143,358)(144,357)
(145,363)(146,364)(147,362)(148,361)(149,367)(150,368)(151,366)(152,365)
(153,371)(154,372)(155,370)(156,369)(157,375)(158,376)(159,374)(160,373)
(161,379)(162,380)(163,378)(164,377)(165,383)(166,384)(167,382)(168,381)
(169,387)(170,388)(171,386)(172,385)(173,391)(174,392)(175,390)(176,389)
(177,395)(178,396)(179,394)(180,393)(181,399)(182,400)(183,398)(184,397)
(185,403)(186,404)(187,402)(188,401)(189,407)(190,408)(191,406)(192,405)
(193,411)(194,412)(195,410)(196,409)(197,415)(198,416)(199,414)(200,413)
(201,419)(202,420)(203,418)(204,417)(205,423)(206,424)(207,422)(208,421)
(209,427)(210,428)(211,426)(212,425)(213,431)(214,432)(215,430)(216,429);;
poly := Group([s0,s1,s2,s3]);;
 
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0","s1","s2","s3");;
s0 := F.1;;  s1 := F.2;;  s2 := F.3;;  s3 := F.4;;  
rels := [ s0*s0, s1*s1, s2*s2, s3*s3, s0*s2*s0*s2, 
s0*s3*s0*s3, s1*s3*s1*s3, s0*s1*s2*s0*s1*s2*s0*s1*s2, 
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1, 
s0*s1*s2*s3*s2*s1*s0*s1*s2*s3*s2*s1, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2, 
s3*s1*s2*s3*s2*s3*s1*s2*s3*s1*s2*s3*s2*s3*s1*s2 ];;
poly := F / rels;;
 
Permutation Representation (Magma) :
s0 := Sym(432)!(  9, 17)( 10, 18)( 11, 19)( 12, 20)( 13, 21)( 14, 22)( 15, 23)
( 16, 24)( 25, 49)( 26, 50)( 27, 51)( 28, 52)( 29, 53)( 30, 54)( 31, 55)
( 32, 56)( 33, 65)( 34, 66)( 35, 67)( 36, 68)( 37, 69)( 38, 70)( 39, 71)
( 40, 72)( 41, 57)( 42, 58)( 43, 59)( 44, 60)( 45, 61)( 46, 62)( 47, 63)
( 48, 64)( 81, 89)( 82, 90)( 83, 91)( 84, 92)( 85, 93)( 86, 94)( 87, 95)
( 88, 96)( 97,121)( 98,122)( 99,123)(100,124)(101,125)(102,126)(103,127)
(104,128)(105,137)(106,138)(107,139)(108,140)(109,141)(110,142)(111,143)
(112,144)(113,129)(114,130)(115,131)(116,132)(117,133)(118,134)(119,135)
(120,136)(153,161)(154,162)(155,163)(156,164)(157,165)(158,166)(159,167)
(160,168)(169,193)(170,194)(171,195)(172,196)(173,197)(174,198)(175,199)
(176,200)(177,209)(178,210)(179,211)(180,212)(181,213)(182,214)(183,215)
(184,216)(185,201)(186,202)(187,203)(188,204)(189,205)(190,206)(191,207)
(192,208)(225,233)(226,234)(227,235)(228,236)(229,237)(230,238)(231,239)
(232,240)(241,265)(242,266)(243,267)(244,268)(245,269)(246,270)(247,271)
(248,272)(249,281)(250,282)(251,283)(252,284)(253,285)(254,286)(255,287)
(256,288)(257,273)(258,274)(259,275)(260,276)(261,277)(262,278)(263,279)
(264,280)(297,305)(298,306)(299,307)(300,308)(301,309)(302,310)(303,311)
(304,312)(313,337)(314,338)(315,339)(316,340)(317,341)(318,342)(319,343)
(320,344)(321,353)(322,354)(323,355)(324,356)(325,357)(326,358)(327,359)
(328,360)(329,345)(330,346)(331,347)(332,348)(333,349)(334,350)(335,351)
(336,352)(369,377)(370,378)(371,379)(372,380)(373,381)(374,382)(375,383)
(376,384)(385,409)(386,410)(387,411)(388,412)(389,413)(390,414)(391,415)
(392,416)(393,425)(394,426)(395,427)(396,428)(397,429)(398,430)(399,431)
(400,432)(401,417)(402,418)(403,419)(404,420)(405,421)(406,422)(407,423)
(408,424);
s1 := Sym(432)!(  1, 25)(  2, 26)(  3, 28)(  4, 27)(  5, 31)(  6, 32)(  7, 29)
(  8, 30)(  9, 33)( 10, 34)( 11, 36)( 12, 35)( 13, 39)( 14, 40)( 15, 37)
( 16, 38)( 17, 41)( 18, 42)( 19, 44)( 20, 43)( 21, 47)( 22, 48)( 23, 45)
( 24, 46)( 51, 52)( 53, 55)( 54, 56)( 59, 60)( 61, 63)( 62, 64)( 67, 68)
( 69, 71)( 70, 72)( 73,169)( 74,170)( 75,172)( 76,171)( 77,175)( 78,176)
( 79,173)( 80,174)( 81,177)( 82,178)( 83,180)( 84,179)( 85,183)( 86,184)
( 87,181)( 88,182)( 89,185)( 90,186)( 91,188)( 92,187)( 93,191)( 94,192)
( 95,189)( 96,190)( 97,145)( 98,146)( 99,148)(100,147)(101,151)(102,152)
(103,149)(104,150)(105,153)(106,154)(107,156)(108,155)(109,159)(110,160)
(111,157)(112,158)(113,161)(114,162)(115,164)(116,163)(117,167)(118,168)
(119,165)(120,166)(121,193)(122,194)(123,196)(124,195)(125,199)(126,200)
(127,197)(128,198)(129,201)(130,202)(131,204)(132,203)(133,207)(134,208)
(135,205)(136,206)(137,209)(138,210)(139,212)(140,211)(141,215)(142,216)
(143,213)(144,214)(217,242)(218,241)(219,243)(220,244)(221,248)(222,247)
(223,246)(224,245)(225,250)(226,249)(227,251)(228,252)(229,256)(230,255)
(231,254)(232,253)(233,258)(234,257)(235,259)(236,260)(237,264)(238,263)
(239,262)(240,261)(265,266)(269,272)(270,271)(273,274)(277,280)(278,279)
(281,282)(285,288)(286,287)(289,386)(290,385)(291,387)(292,388)(293,392)
(294,391)(295,390)(296,389)(297,394)(298,393)(299,395)(300,396)(301,400)
(302,399)(303,398)(304,397)(305,402)(306,401)(307,403)(308,404)(309,408)
(310,407)(311,406)(312,405)(313,362)(314,361)(315,363)(316,364)(317,368)
(318,367)(319,366)(320,365)(321,370)(322,369)(323,371)(324,372)(325,376)
(326,375)(327,374)(328,373)(329,378)(330,377)(331,379)(332,380)(333,384)
(334,383)(335,382)(336,381)(337,410)(338,409)(339,411)(340,412)(341,416)
(342,415)(343,414)(344,413)(345,418)(346,417)(347,419)(348,420)(349,424)
(350,423)(351,422)(352,421)(353,426)(354,425)(355,427)(356,428)(357,432)
(358,431)(359,430)(360,429);
s2 := Sym(432)!(  1, 73)(  2, 74)(  3, 79)(  4, 80)(  5, 78)(  6, 77)(  7, 75)
(  8, 76)(  9, 89)( 10, 90)( 11, 95)( 12, 96)( 13, 94)( 14, 93)( 15, 91)
( 16, 92)( 17, 81)( 18, 82)( 19, 87)( 20, 88)( 21, 86)( 22, 85)( 23, 83)
( 24, 84)( 25,105)( 26,106)( 27,111)( 28,112)( 29,110)( 30,109)( 31,107)
( 32,108)( 33, 97)( 34, 98)( 35,103)( 36,104)( 37,102)( 38,101)( 39, 99)
( 40,100)( 41,113)( 42,114)( 43,119)( 44,120)( 45,118)( 46,117)( 47,115)
( 48,116)( 49,137)( 50,138)( 51,143)( 52,144)( 53,142)( 54,141)( 55,139)
( 56,140)( 57,129)( 58,130)( 59,135)( 60,136)( 61,134)( 62,133)( 63,131)
( 64,132)( 65,121)( 66,122)( 67,127)( 68,128)( 69,126)( 70,125)( 71,123)
( 72,124)(147,151)(148,152)(149,150)(153,161)(154,162)(155,167)(156,168)
(157,166)(158,165)(159,163)(160,164)(169,177)(170,178)(171,183)(172,184)
(173,182)(174,181)(175,179)(176,180)(187,191)(188,192)(189,190)(193,209)
(194,210)(195,215)(196,216)(197,214)(198,213)(199,211)(200,212)(203,207)
(204,208)(205,206)(217,290)(218,289)(219,296)(220,295)(221,293)(222,294)
(223,292)(224,291)(225,306)(226,305)(227,312)(228,311)(229,309)(230,310)
(231,308)(232,307)(233,298)(234,297)(235,304)(236,303)(237,301)(238,302)
(239,300)(240,299)(241,322)(242,321)(243,328)(244,327)(245,325)(246,326)
(247,324)(248,323)(249,314)(250,313)(251,320)(252,319)(253,317)(254,318)
(255,316)(256,315)(257,330)(258,329)(259,336)(260,335)(261,333)(262,334)
(263,332)(264,331)(265,354)(266,353)(267,360)(268,359)(269,357)(270,358)
(271,356)(272,355)(273,346)(274,345)(275,352)(276,351)(277,349)(278,350)
(279,348)(280,347)(281,338)(282,337)(283,344)(284,343)(285,341)(286,342)
(287,340)(288,339)(361,362)(363,368)(364,367)(369,378)(370,377)(371,384)
(372,383)(373,381)(374,382)(375,380)(376,379)(385,394)(386,393)(387,400)
(388,399)(389,397)(390,398)(391,396)(392,395)(401,402)(403,408)(404,407)
(409,426)(410,425)(411,432)(412,431)(413,429)(414,430)(415,428)(416,427)
(417,418)(419,424)(420,423);
s3 := Sym(432)!(  1,219)(  2,220)(  3,218)(  4,217)(  5,223)(  6,224)(  7,222)
(  8,221)(  9,227)( 10,228)( 11,226)( 12,225)( 13,231)( 14,232)( 15,230)
( 16,229)( 17,235)( 18,236)( 19,234)( 20,233)( 21,239)( 22,240)( 23,238)
( 24,237)( 25,243)( 26,244)( 27,242)( 28,241)( 29,247)( 30,248)( 31,246)
( 32,245)( 33,251)( 34,252)( 35,250)( 36,249)( 37,255)( 38,256)( 39,254)
( 40,253)( 41,259)( 42,260)( 43,258)( 44,257)( 45,263)( 46,264)( 47,262)
( 48,261)( 49,267)( 50,268)( 51,266)( 52,265)( 53,271)( 54,272)( 55,270)
( 56,269)( 57,275)( 58,276)( 59,274)( 60,273)( 61,279)( 62,280)( 63,278)
( 64,277)( 65,283)( 66,284)( 67,282)( 68,281)( 69,287)( 70,288)( 71,286)
( 72,285)( 73,291)( 74,292)( 75,290)( 76,289)( 77,295)( 78,296)( 79,294)
( 80,293)( 81,299)( 82,300)( 83,298)( 84,297)( 85,303)( 86,304)( 87,302)
( 88,301)( 89,307)( 90,308)( 91,306)( 92,305)( 93,311)( 94,312)( 95,310)
( 96,309)( 97,315)( 98,316)( 99,314)(100,313)(101,319)(102,320)(103,318)
(104,317)(105,323)(106,324)(107,322)(108,321)(109,327)(110,328)(111,326)
(112,325)(113,331)(114,332)(115,330)(116,329)(117,335)(118,336)(119,334)
(120,333)(121,339)(122,340)(123,338)(124,337)(125,343)(126,344)(127,342)
(128,341)(129,347)(130,348)(131,346)(132,345)(133,351)(134,352)(135,350)
(136,349)(137,355)(138,356)(139,354)(140,353)(141,359)(142,360)(143,358)
(144,357)(145,363)(146,364)(147,362)(148,361)(149,367)(150,368)(151,366)
(152,365)(153,371)(154,372)(155,370)(156,369)(157,375)(158,376)(159,374)
(160,373)(161,379)(162,380)(163,378)(164,377)(165,383)(166,384)(167,382)
(168,381)(169,387)(170,388)(171,386)(172,385)(173,391)(174,392)(175,390)
(176,389)(177,395)(178,396)(179,394)(180,393)(181,399)(182,400)(183,398)
(184,397)(185,403)(186,404)(187,402)(188,401)(189,407)(190,408)(191,406)
(192,405)(193,411)(194,412)(195,410)(196,409)(197,415)(198,416)(199,414)
(200,413)(201,419)(202,420)(203,418)(204,417)(205,423)(206,424)(207,422)
(208,421)(209,427)(210,428)(211,426)(212,425)(213,431)(214,432)(215,430)
(216,429);
poly := sub<Sym(432)|s0,s1,s2,s3>;
 
Finitely Presented Group Representation (Magma) :
poly<s0,s1,s2,s3> := Group< s0,s1,s2,s3 | s0*s0, s1*s1, s2*s2, 
s3*s3, s0*s2*s0*s2, s0*s3*s0*s3, s1*s3*s1*s3, 
s0*s1*s2*s0*s1*s2*s0*s1*s2, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1, 
s0*s1*s2*s3*s2*s1*s0*s1*s2*s3*s2*s1, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2, 
s3*s1*s2*s3*s2*s3*s1*s2*s3*s1*s2*s3*s2*s3*s1*s2 >; 
 
References : None.
to this polytope