Part of the Atlas of Small Regular Polytopes

Polytope of Type {6,4,18}

Atlas Canonical Name {6,4,18}*1728a

Overview

Group
SmallGroup(1728,46114)
Rank
4
Schläfli Type
{6,4,18}
Vertices, edges, …
12, 24, 72, 18
Order of s0s1s2s3
18
Order of s0s1s2s3s2s1
2
Also known as
if this polytope has a name.

Special Properties

  • Universal
  • Orientable
  • Flat

Quotients maximal quotients in bold

2-fold

3-fold

4-fold

6-fold

8-fold

9-fold

12-fold

16-fold

18-fold

24-fold

36-fold

48-fold

72-fold

108-fold

Covers minimal covers in bold

None in this atlas.

Irregular Quotients of which this is a minimal cover

Click an entry to reveal its facets and vertex figures.

P/N, where N=<(s0*s1*s2*s1)^2> of order 2

18 facets

  • 18 of 2-fold non-regular quotient of {6,4}*96

8 vertex figures

Representations

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

References

None.

to this polytope.