Steven Dutch, Professor Emeritus, Natural and Applied Sciences, Universityof Wisconsin - Green Bay
Explanation of Topological Data for polyhedra
Index = 0; Topology = 444555555; NFace = 9; NVert = 14; NEdge = 21
Faces:
bcde aefgc abghd achie adifb beig bfihc cgid dhgfe
Face Topology: 5555 45455
45545 45455 45545 5555 54545 5555 54545
Vertices: abc acd ade aeb bef bfg
bgc cgh chd dhi die eif fig gih
Vertex Topology: 455 455 455 455 554 545
555 554 545 545 555 554 455 554
Face-Vertex Adjacency: bAcBdCeDb aDeEfFgGcAa
aAbGgHhIdBa aBcIhJiKeCa aCdKiLfEbDa bEeLiMgFb bFfMiNhHcGb cHgNiJdIc dJhNgMfLeKd
Edges: ab ac ad ae be bf bg bc cg ch cd dh di de ei ef fi fg gi gh hi
Index = 1; Topology = 333555666; NFace = 9; NVert = 14; NEdge = 21
Faces:
bcdef afghc abhid acihfe adf aedhgb bfh bgfdic chd
Face Topology: 55636
56365 55636 553663 566 536635 566 536635 566
Vertices: abc ade aef afb bfg
bgh bhc chi cid cda dih dhf dfe fhg
Vertex Topology: 555 563 536 565 563
536 565 563 536 565 636 666 663 663
Face-Vertex Adjacency: bAcJdBeCfDb aDfEgFhGcAa
aAbGhHiIdJa aJcIiKhLfMeBa aBdMfCa aCeMdLhNgEbDa bEfNhFb bFgNfLdKiHcGb cHhKdIc
Edges: ab ac ad ae af bf bg bh bc ch ci cd di dh df de ef fh fg gh hi
Index = 2; Topology = 333555666; NFace = 9; NVert = 14; NEdge = 21
Faces:
bcdef afeghc abhid acihe adhgbf aeb beh bgedic chd
Face Topology: 65563
536365 56635 55366 556363 566 666 636535 565
Vertices: abc acd ade aef afb
bfe beg bgh bhc chi cid dih dhe ehg
Vertex Topology: 565 555 556 563 536
636 663 636 665 563 535 536 566 663
Face-Vertex Adjacency: bAcBdCeDfEb aEfFeGgHhIcAa
aAbIhJiKdBa aBcKiLhMeCa aCdMhNgGbFfDa aDeFbEa bGeNhHb bHgNeMdLiJcIb cJhLdKc
Edges: ab ac ad ae af bf be bg bh bc ch ci cd di dh de eh eg ef gh hi
Index = 3; Topology = 334446666; NFace = 9; NVert = 14; NEdge = 21
Faces:
bcdefg aghc abhd ache adhigf aeg afeihb bgiedc ehg
Face Topology: 444636
6664 6464 6466 646363 666 636364 463644 666
Vertices: abc ade aef afg agb
bgh bhc chd cda dhe ehi eig egf gih
Vertex Topology: 644 646 663 636 664
466 464 464 446 466 663 636 663 636
Face-Vertex Adjacency: bAcIdBeCfDgEb
aEgFhGcAa aAbGhHdIa aIcHhJeBa aBdJhKiLgMfCa aCeMgDa aDfMeLiNhFbEa bFgNiKeJdHcGb
eKhNgLe
Edges: ab ac ad ae af ag bg bh bc ch cd dh de eh ei eg ef fg gi
gh hi
Index = 4; Topology = 334455666; NFace = 9; NVert = 14; NEdge =
21
Faces: bcdefg aghifc abfed ace adcf aecbig afihb bgi bhgf
Face Topology:
653465 653465 66643 654 6356 645645 66436 654 6356
Vertices: abc acd ade
aef afg agb bgh bhi bif bfc cfe ced fig gih
Vertex Topology: 665 653 634
646 665 656 653 634 646 665 564 543 645 543
Face-Vertex Adjacency: bAcBdCeDfEgFb
aFgGhHiIfJcAa aAbJfKeLdBa aBcLeCa aCdLcKfDa aDeKcJbIiMgEa aEfMiNhGbFa bGgNiHb
bHhNgMfIb
Edges: ab ac ad ae af ag bg bh bi bf bc cf ce cd de ef fi fg gi
gh hi
Index = 5; Topology = 334455666; NFace = 9; NVert = 14; NEdge =
21
Faces: bcdefg aghc abhd achie adihgf aeg afehb bgeidc dhe
Face Topology:
445635 6564 6465 64636 653653 665 63664 456354 566
Vertices: abc ade aef
afg agb bgh bhc chd cda dhi die eih ehg egf
Vertex Topology: 644 656 663
635 654 456 464 465 456 563 536 636 665 653
Face-Vertex Adjacency: bAcIdBeCfDgEb
aEgFhGcAa aAbGhHdIa aIcHhJiKeBa aBdKiLhMgNfCa aCeNgDa aDfNeMhFbEa bFgMeLiJdHcGb
dJhLeKd
Edges: ab ac ad ae af ag bg bh bc ch cd dh di de ei eh eg ef fg
gh hi
Index = 6; Topology = 334455666; NFace = 9; NVert = 14; NEdge =
21
Faces: bcde aefgc abghid acihge adgfb beg bfedhc cgdi chd
Face Topology:
5665 45366 456436 463465 46635 556 535646 6663 646
Vertices: abc acd ade
aeb bef bfg bgc cgh chi cid dih dhg dge egf
Vertex Topology: 456 466 465
455 553 536 566 664 643 636 634 646 665 563
Face-Vertex Adjacency: bAcBdCeDb
aDeEfFgGcAa aAbGgHhIiJdBa aBcJiKhLgMeCa aCdMgNfEbDa bEeNgFb bFfNeMdLhHcGb cHgLdKiIc
cIhKdJc
Edges: ab ac ad ae be bf bg bc cg ch ci cd di dh dg de eg ef fg
gh hi
Index = 7; Topology = 334555566; NFace = 9; NVert = 14; NEdge =
21
Faces: bcdefg aghic abihd ache adhgf aeg afehb bgedci bhc
Face Topology:
554535 65635 65364 6565 64653 655 63565 555453 565
Vertices: abc ade aef
afg agb bgh bhi bic chd cda dhe ehg egf hci
Vertex Topology: 655 645 653
635 655 556 563 535 564 546 465 565 553 653
Face-Vertex Adjacency: bAcJdBeCfDgEb
aEgFhGiHcAa aAbHiNhIdJa aJcIhKeBa aBdKhLgMfCa aCeMgDa aDfMeLhFbEa bFgLeKdIcNiGb
bGhNcHb
Edges: ab ac ad ae af ag bg bh bi bc ci ch cd dh de eh eg ef fg
gh hi
Index = 8; Topology = 334555566; NFace = 9; NVert = 14; NEdge =
21
Faces: bcdefg aghic abihd achge adgf aeg afedhb bgdci bhc
Face Topology:
555436 66535 65355 65564 6563 646 634555 56553 555
Vertices: abc acd ade
aef afg agb bgh bhi bic cih chd dhg dge egf
Vertex Topology: 655 655 654
643 636 665 565 553 535 535 555 556 564 463
Face-Vertex Adjacency: bAcBdCeDfEgFb
aFgGhHiIcAa aAbIiJhKdBa aBcKhLgMeCa aCdMgNfDa aDeNgEa aEfNeMdLhGbFa bGgLdKcJiHb
bHhJcIb
Edges: ab ac ad ae af ag bg bh bi bc ci ch cd dh dg de eg ef fg
gh hi
Index = 9; Topology = 344445666; NFace = 9; NVert = 14; NEdge =
21
Faces: bcdefg aghc abhgid acie adif aeig afichb bgc cgfed
Face Topology:
464446 6636 643654 6654 6454 6456 645634 466 66444
Vertices: abc ade aef
afg agb bgh bhc chg cgi cid cda die eif fig
Vertex Topology: 646 644 644
646 664 463 436 636 665 654 646 454 454 456
Face-Vertex Adjacency: bAcKdBeCfDgEb
aEgFhGcAa aAbGhHgIiJdKa aKcJiLeBa aBdLiMfCa aCeMiNgDa aDfNiIcHhFbEa bFgHcGb
cIgNfMeLdJc
Edges: ab ac ad ae af ag bg bh bc ch cg ci cd di de ei ef fi
fg gi gh
Index = 10; Topology = 344455566; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcde aefghc abhgid acife adfb bedig bfich bgc cgfd
Face Topology:
6654 445536 463545 46454 4556 64545 65463 656 6555
Vertices: abc acd ade
aeb bef bfg bgh bhc chg cgi cid dif dfe fig
Vertex Topology: 466 465 454
446 645 655 653 636 635 654 645 545 554 545
Face-Vertex Adjacency: bAcBdCeDb
aDeEfFgGhHcAa aAbHhIgJiKdBa aBcKiLfMeCa aCdMfEbDa bEeMdLiNgFb bFfNiJcIhGb bGgIcHb
cJgNfLdKc
Edges: ab ac ad ae be bf bg bh bc ch cg ci cd di df de ef fi fg
gi gh
Index = 11; Topology = 344555556; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcde aefgc abghd achfe adfb bedhig bfihc cgifd fhg
Face Topology:
5554 44655 45555 45564 4565 545535 56355 55365 655
Vertices: abc ade aeb
bef bfg bgc cgh chd cda dhf dfe fhi fig gih
Vertex Topology: 455 454 445
546 565 555 555 555 554 556 564 653 635 535
Face-Vertex Adjacency: bAcIdBeCb
aCeDfEgFcAa aAbFgGhHdIa aIcHhJfKeBa aBdKfDbCa bDeKdJhLiMgEb bEfMiNhGcFb cGgNiLfJdHc
fLhNgMf
Edges: ab ac ad ae be bf bg bc cg ch cd dh df de ef fh fi fg gi
gh hi
Index = 12; Topology = 444444666; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcde aefghc abhd ache adhifb beig bfih bgiedc ehgf
Face Topology:
6446 464464 4664 4466 446446 6644 6446 644644 6644
Vertices: abc acd ade
aeb bef bfg bgh bhc chd dhe ehi eif gih igf
Vertex Topology: 464 444 446
466 664 644 646 664 464 466 664 644 446 444
Face-Vertex Adjacency: bAcBdCeDb
aDeEfFgGhHcAa aAbHhIdBa aBcIhJeCa aCdJhKiLfEbDa bEeLiNgFb bFfNiMhGb bGgMiKeJdIcHb
eKhMgNfLe
Edges: ab ac ad ae be bf bg bh bc ch cd dh de eh ei ef fi fg gi
gh hi
Index = 13; Topology = 444445566; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcde aefgc abgd acghe adhifb beig bfihdc dgie ehgf
Face Topology:
5456 46464 4565 44646 454445 5646 544454 5646 6464
Vertices: abc ade aeb
bef bfg bgc cgd cda dgh ehi eif fig hed ihg
Vertex Topology: 454 456 465
564 546 564 465 454 564 644 644 446 465 446
Face-Vertex Adjacency: bAcHdBeCb
aCeDfEgFcAa aAbFgGdHa aHcGgIhMeBa aBdMhJiKfDbCa bDeKiLgEb bEfLiNhIdGcFb dIgNiJeMd
eJhNgLfKe
Edges: ab ac ad ae be bf bg bc cg cd dg dh de eh ei ef fi fg gi
gh hi
Index = 14; Topology = 444455556; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcdefg aghc abhd achie adif aeig afihb bgidc dhgfe
Face Topology:
445445 6554 6455 64554 6554 6455 64554 45554 55544
Vertices: abc acd ade
aef afg agb bgh bhc chd dhi die eif fig ihg
Vertex Topology: 644 645 654
644 645 654 455 454 455 555 554 454 455 555
Face-Vertex Adjacency: bAcBdCeDfEgFb
aFgGhHcAa aAbHhIdBa aBcIhJiKeCa aCdKiLfDa aDeLiMgEa aEfMiNhGbFa bGgNiJdIcHb
dJhNgMfLeKd
Edges: ab ac ad ae af ag bg bh bc ch cd dh di de ei ef fi fg
gi gh hi
Index = 15; Topology = 333346677; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcdefgh ahc abhd achife adf aedihg afh agfidcb dhf
Face Topology:
3463637 774 7376 747363 766 736373 767 7363643 676
Vertices: abc ade aef
afg agh ahb bhc chd cda dif dfe fih fhg hid
Vertex Topology: 734 763 736
763 737 773 374 476 467 636 663 637 673 736
Face-Vertex Adjacency: bAcIdBeCfDgEhFb
aFhGcAa aAbGhHdIa aIcHhNiJfKeBa aBdKfCa aCeKdJiLhMgDa aDfMhEa aEgMfLiNdHcGbFa
dNhLfJd
Edges: ab ac ad ae af ag ah bh bc ch cd dh di df de ef fi fh fg
gh hi
Index = 16; Topology = 333355677; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcdefg agfhc abhfied ace adcif aeichbg afb bfc cfe
Face Topology:
573573 63737 6537353 675 63737 6537353 675 577 775
Vertices: abc acd ade
aef afg agb bgf bfh bhc chf cfi cie ced eif
Vertex Topology: 657 673 635
657 673 635 537 573 537 737 773 735 753 537
Face-Vertex Adjacency: bAcBdCeDfEgFb
aFgGfHhIcAa aAbIhJfKiLeMdBa aBcMeCa aCdMcLiNfDa aDeNiKcJhHbGgEa aEfGbFa bHfJcIb
cKfNeLc
Edges: ab ac ad ae af ag bg bf bh bc ch cf ci ce cd de ei ef fi
fh fg
Index = 17; Topology = 333445677; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcdefg agfc abfhied ace adcif aeihcbg afb cfi chfe
Face Topology:
473573 6377 6473453 675 63747 6543743 674 774 7375
Vertices: abc ade aef
afg agb bgf bfc cfh chi cie ced cda eif fih
Vertex Topology: 647 635 657
673 634 437 477 773 734 745 753 736 547 743
Face-Vertex Adjacency: bAcLdBeCfDgEb
aEgFfGcAa aAbGfHhIiJeKdLa aLcKeBa aBdKcJiMfCa aCeMiNhHcGbFgDa aDfFbEa cHfNiIc
cIhNfMeJc
Edges: ab ac ad ae af ag bg bf bc cf ch ci ce cd de ei ef fi fh
fg hi
Index = 18; Topology = 333445677; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcdefgh ahfc abfied ace adcif aeicbhg afh agfb cfe
Face Topology:
4635734 7476 747353 765 73637 7536443 774 7374 675
Vertices: abc acd ade
aef afg agh ahb bhf bfc cfi cie ced fhg ife
Vertex Topology: 746 763 735
757 773 734 744 447 476 673 635 653 743 375
Face-Vertex Adjacency: bAcBdCeDfEgFhGb
aGhHfIcAa aAbIfJiKeLdBa aBcLeCa aCdLcKiNfDa aDeNiJcIbHhMgEa aEfMhFa aFgMfHbGa
cJfNeKc
Edges: ab ac ad ae af ag ah bh bf bc cf ci ce cd de ei ef fi fh
fg gh
Index = 19; Topology = 333446667; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcdefg aghfic abifed ace adcf aecibhg afhb bgf bfc
Face Topology:
663474 643736 663743 664 6367 6463634 6736 647 676
Vertices: abc ade aef
afg agb bgh bhf bfi bic cfe ced cda fci fhg
Vertex Topology: 666 634 647
674 646 643 637 673 636 674 643 636 763 734
Face-Vertex Adjacency: bAcLdBeCfDgEb
aEgFhGfHiIcAa aAbIiMfJeKdLa aLcKeBa aBdKcJfCa aCeJcMiHbGhNgDa aDfNhFbEa bFgNfGb
bHfMcIb
Edges: ab ac ad ae af ag bg bh bf bi bc ci cf ce cd de ef fi fh
fg gh
Index = 20; Topology = 333446667; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcdefg agfc abfhed ace adchif aeihcbg afb cfie ehf
Face Topology:
463673 6376 647463 666 636437 6634643 674 6736 647
Vertices: abc acd ade
aef afg agb bgf bfc cfh che ehi eif fih fhg
Vertex Topology: 646 663 636
667 673 634 437 476 674 646 643 637 734 743
Face-Vertex Adjacency: bAcBdCeDfEgFb
aFgGfHcAa aAbHfIhJe@dBa aBc@eCa aCd@cJhKiLfDa aDeLiMhIcHbGgEa aEfGbFa cIfMiKeJc
eKhMfLe
Edges: ab ac ad ae af ag bg bf bc cf ch ce cd de eh ei ef fi fh
fg hi
Index = 21; Topology = 333455577; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcdefgh ahigc abged ace adcgf aeg afecbih agib bhg
Face Topology:
5535374 74375 75753 755 73573 757 7355534 7735 547
Vertices: abc ade aef
afg agh ahb bhi big bgc cge ced cda egf gih
Vertex Topology: 755 735 753
737 774 745 543 537 575 575 553 537 573 734
Face-Vertex Adjacency: bAcLdBeCfDgEhFb
aFhGiHgIcAa aAbIgJeKdLa aLcKeBa aBdKcJgMfCa aCeMgDa aDfMeJcIbHiNhEa aEgNiGbFa
bGhNgHb
Edges: ab ac ad ae af ag ah bh bi bg bc cg ce cd de eg ef fg gi
gh hi
Index = 22; Topology = 333455667; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcdefg aghfc abfied ace adcif aeicbhg afhb bgf cfe
Face Topology:
563574 64376 657353 665 63637 6536534 6735 547 675
Vertices: abc acd ade
aef afg agb bgh bhf bfc cfi cie ced eif fhg
Vertex Topology: 656 663 635
657 674 645 543 537 576 673 635 653 537 734
Face-Vertex Adjacency: bAcBdCeDfEgFb
aFgGhHfIcAa aAbIfJiKeLdBa aBcLeCa aCdLcKiMfDa aDeMiJcIbHhNgEa aEfNhGbFa bGgNfHb
cJfMeKc
Edges: ab ac ad ae af ag bg bh bf bc cf ci ce cd de ei ef fi fh
fg gh
Index = 23; Topology = 333455667; NFace = 9; NVert = 14; NEdge
= 21
Faces: bcde aefghc abhgid acige adgfb beg bfedich bgc cgd
Face Topology:
6655 453736 463735 46375 45736 657 6355363 676 675
Vertices: abc ade aeb
bef bfg bgh bhc chg cgi cid cda dig dge egf
Vertex Topology: 466 455 456
653 637 673 636 637 673 635 654 537 575 573
Face-Vertex Adjacency: bAcKdBeCb
aCeDfEgFhGcAa aAbGhHgIiJdKa aKcJiLgMeBa aBdMgNfDbCa bDeNgEb bEfNeMdLiIcHhFb
bFgHcGb cIgLdJc
Edges: ab ac ad ae be bf bg bh bc ch cg ci cd di dg de eg
ef fg gi gh
Index = 24; Topology = 334445577; NFace = 9; NVert = 14;
NEdge = 21
Faces: bcdefgh ahedc abd acbe adbhgif aeig afieh ageb egf
Face Topology: 5347454 74743 754 7357 7454534 7735 74374 7575 754
Vertices:
abc acd ade aef afg agh ahb bhe bed bdc ehg egi eif fig
Vertex Topology:
753 734 747 774 745 754 745 547 574 543 745 753 734 435
Face-Vertex Adjacency:
bAcBdCeDfEgFhGb aGhHeIdJcAa aAbJdBa aBcJbIeCa aCdIbHhKgLiMfDa aDeMiNgEa aEfNiLeKhFa
aFgKeHbGa eLgNfMe
Edges: ab ac ad ae af ag ah bh be bd bc cd de eh eg ei
ef fi fg gi gh
Index = 25; Topology = 334445577; NFace = 9; NVert = 14;
NEdge = 21
Faces: bcde aefghic abihd ache adhfb behg bfh bgfedci bhc
Face Topology: 7545 4543735 47374 4575 44747 7573 747 7345453 775
Vertices:
abc ade aeb bef bfg bgh bhi bic cih chd cda dhe ehf fhg
Vertex Topology:
475 445 457 754 743 737 773 735 537 574 544 475 574 473
Face-Vertex Adjacency:
bAcKdBeCb aCeDfEgFhGiHcAa aAbHiIhJdKa aKcJhLeBa aBdLhMfDbCa bDeMhNgEb bEfNhFb
bFgNfMeLdJcIiGb bGhIcHb
Edges: ab ac ad ae be bf bg bh bi bc ci ch cd dh
de eh ef fh fg gh hi
Index = 26; Topology = 334445667; NFace = 9; NVert
= 14; NEdge = 21
Faces: bcdefg aghifc abfed ace adcf aecbihg afhb bgfi bhf
Face Topology: 653474 644375 66743 654 6357 6456344 6746 6473 647
Vertices:
abc acd ade aef afg agb bgh bhi bif bfc cfe ced fih fhg
Vertex Topology:
665 653 634 647 674 646 644 643 637 675 574 543 734 744
Face-Vertex Adjacency:
bAcBdCeDfEgFb aFgGhHiIfJcAa aAbJfKeLdBa aBcLeCa aCdLcKfDa aDeKcJbIiMhNgEa aEfNhGbFa
bGgNfMiHb bHhMfIb
Edges: ab ac ad ae af ag bg bh bi bf bc cf ce cd de ef
fi fh fg gh hi
Index = 27; Topology = 334445667; NFace = 9; NVert = 14;
NEdge = 21
Faces: bcdef afeghic abid acie adigbf aeb beih bgi bhgedc
Face Topology: 74463 5364364 5764 5466 546473 567 7663 746 734644
Vertices:
abc ade aef afb bfe beg bhi bic cid cda die eig gih ghb
Vertex Topology:
574 546 563 537 736 764 736 764 464 445 466 664 463 437
Face-Vertex Adjacency:
bAcJdBeCfDb aDfEeFgNhGiHcAa aAbHiIdJa aJcIiKeBa aBdKiLgFbEfCa aCeEbDa bFeLiMhNb
bNgMiGb bGhMgLeKdIcHb
Edges: ab ac ad ae af bf be bg bh bi bc ci cd di de
ei eg ef gi gh hi
Index = 28; Topology = 334445667; NFace = 9; NVert
= 14; NEdge = 21
Faces: bcde aefghic abid acie adigfb beg bfeih bgi bhgedc
Face Topology: 7446 4635364 4764 4466 446537 765 73663 756 735644
Vertices:
abc acd ade aeb bfg bgh bic cid die eig egf efb hib ihg
Vertex Topology:
474 444 446 467 735 753 764 464 466 665 653 637 367 635
Face-Vertex Adjacency:
bAcBdCeDb aDeLfEgFhMiGcAa aAbGiHdBa aBcHiIeCa aCdIiJgKfLbDa bLeKgEb bEfKeJiNhFb
bFgNiMb bMhNgJeIdHcGb
Edges: ab ac ad ae be bf bg bh bi bc ci cd di de ei
eg ef fg gi gh hi
Index = 29; Topology = 334455567; NFace = 9; NVert
= 14; NEdge = 21
Faces: bcdefg aghfc abfed ace adcf aecbhig afihb bgif fhg
Face Topology: 553475 65475 65743 654 6357 6455435 67345 5537 745
Vertices:
abc ade aef afg agb bhf bfc cfe ced cda fhi fig gih ghb
Vertex Topology:
655 634 647 675 655 547 575 574 543 536 743 735 534 545
Face-Vertex Adjacency:
bAcJdBeCfDgEb aEgNhFfGcAa aAbGfHeIdJa aJcIeBa aBdIcHfCa aCeHcGbFhKiLgDa aDfLiMhNbEa
bNgMiKfFb fKhMgLf
Edges: ab ac ad ae af ag bg bh bf bc cf ce cd de ef fh
fi fg gi gh hi
Index = 30; Topology = 334455567; NFace = 9; NVert = 14;
NEdge = 21
Faces: bcdefgh ahc abhied ace adcif aeig afih agicb chgfe
Face Topology: 3635445 756 735553 765 73654 7554 7455 74563 65445
Vertices:
abc acd ade aef afg agh ahb bhc chi cie ced eif fig gih
Vertex Topology:
736 763 735 754 744 745 753 356 655 655 653 554 454 455
Face-Vertex Adjacency:
bAcBdCeDfEgFhGb aGhHcAa aAbHhIiJeKdBa aBcKeCa aCdKcJiLfDa aDeLiMgEa aEfMiNhFa
aFgNiIcHbGa cIhNgMfLeJc
Edges: ab ac ad ae af ag ah bh bc ch ci ce cd de
ei ef fi fg gi gh hi
Index = 31; Topology = 334455567; NFace = 9; NVert
= 14; NEdge = 21
Faces: bcde aefgc abghd achige adgfb beg bfedihc cgid dhg
Face Topology: 5565 45375 45746 454375 46735 557 5356345 5736 647
Vertices:
abc ade aeb bef bfg bgc cgh chd cda dhi dig dge egf gih
Vertex Topology:
455 465 455 553 537 575 574 546 564 643 637 675 573 734
Face-Vertex Adjacency:
bAcIdBeCb aCeDfEgFcAa aAbFgGhHdIa aIcHhJiKgLeBa aBdLgMfDbCa bDeMgEb bEfMeLdKiNhGcFb
cGgNiJdHc dJhNgKd
Edges: ab ac ad ae be bf bg bc cg ch cd dh di dg de eg
ef fg gi gh hi
Index = 32; Topology = 334555557; NFace = 9; NVert = 14;
NEdge = 21
Faces: bcdefgh ahgic abied ace adcif aeig afibh agb bgfec
Face Topology: 5535453 73555 75553 755 73554 7555 74553 755 55455
Vertices:
abc acd ade aef afg agh ahb bhg bgi bic cie ced eif fig
Vertex Topology:
755 753 735 754 745 753 735 535 555 555 555 553 554 455
Face-Vertex Adjacency:
bAcBdCeDfEgFhGb aGhHgIiJcAa aAbJiKeLdBa aBcLeCa aCdLcKiMfDa aDeMiNgEa aEfNiIbHhFa
aFgHbGa bIgNfMeKcJb
Edges: ab ac ad ae af ag ah bh bg bi bc ci ce cd de
ei ef fi fg gi gh
Index = 33; Topology = 344444577; NFace = 9; NVert
= 14; NEdge = 21
Faces: bcde aefghic abid acie adifb beig bfih bgi bhgfedc
Face Topology: 7445 4544374 4774 4475 44747 7574 7473 747 7344544
Vertices:
abc ade aeb bef bfg bgh bhi bic cid cda die eif fig gih
Vertex Topology:
474 445 457 754 744 743 737 774 474 444 475 574 474 473
Face-Vertex Adjacency:
bAcJdBeCb aCeDfEgFhGiHcAa aAbHiIdJa aJcIiKeBa aBdKiLfDbCa bDeLiMgEb bEfMiNhFb
bFgNiGb bGhNgMfLeKdIcHb
Edges: ab ac ad ae be bf bg bh bi bc ci cd di de
ei ef fi fg gi gh hi
Index = 34; Topology = 344445567; NFace = 9; NVert
= 14; NEdge = 21
Faces: bcdefgh ahidc abd acbie adif aeig afih agib bhgfed
Face Topology: 5354444 74653 755 73564 7564 7464 7464 7465 544445
Vertices:
abc acd ade aef afg agh ahb bhi bid bdc eif fig gih ied
Vertex Topology:
753 735 754 744 744 744 745 546 565 553 464 464 464 645
Face-Vertex Adjacency:
bAcBdCeDfEgFhGb aGhHiIdJcAa aAbJdBa aBcJbIiNeCa aCdNiKfDa aDeKiLgEa aEfLiMhFa
aFgMiHbGa bHhMgLfKeNdIb
Edges: ab ac ad ae af ag ah bh bi bd bc cd di de
ei ef fi fg gi gh hi
Index = 35; Topology = 344445567; NFace = 9; NVert
= 14; NEdge = 21
Faces: bcdefgh ahiedc abd acbe adbif aeig afih agib bhgfe
Face Topology: 6345444 745543 764 7365 74654 7554 7454 7456 64445
Vertices:
abc ade aef afg agh ahb bhi bie bed cda dcb eif fig gih
Vertex Topology:
763 745 754 744 744 746 645 655 654 347 436 554 454 454
Face-Vertex Adjacency:
bAcJdBeCfDgEhFb aFhGiHeIdKcAa aAbKdJa aJcKbIeBa aBdIbHiLfCa aCeLiMgDa aDfMiNhEa
aEgNiGbFa bGhNgMfLeHb
Edges: ab ac ad ae af ag ah bh bi be bd bc cd de ei
ef fi fg gi gh hi
Index = 36; Topology = 344445567; NFace = 9; NVert
= 14; NEdge = 21
Faces: bcde aefghic abid acie adifb beihg bfh bgfi bhfedc
Face Topology: 7445 4553464 4764 4465 44657 75643 754 7356 745544
Vertices:
abc acd ade aeb bef bfg bgh bhi bic cid die fih fhg ife
Vertex Topology:
474 444 445 457 755 753 734 746 764 464 465 564 543 655
Face-Vertex Adjacency:
bAcBdCeDb aDeEfFgGhHiIcAa aAbIiJdBa aBcJiKeCa aCdKiNfEbDa bEeNiLhMgFb bFfMhGb
bGgMfLiHb bHhLfNeKdJcIb
Edges: ab ac ad ae be bf bg bh bi bc ci cd di de
ei ef fi fh fg gh hi
Index = 37; Topology = 444444477; NFace = 9; NVert
= 14; NEdge = 21
Faces: bcdefgh ahic abid acie adif aeig afih agib bhgfedc
Face Topology: 4444444 7474 7474 7474 7474 7474 7474 7474 4444444
Vertices:
abc ade aef afg agh ahb bhi bic cid cda eif fig gih ied
Vertex Topology:
744 744 744 744 744 744 447 474 474 447 474 474 474 744
Face-Vertex Adjacency:
bAcJdBeCfDgEhFb aFhGiHcAa aAbHiIdJa aJcIiNeBa aBdNiKfCa aCeKiLgDa aDfLiMhEa
aEgMiGbFa bGhMgLfKeNdIcHb
Edges: ab ac ad ae af ag ah bh bi bc ci cd di
de ei ef fi fg gi gh hi
Index = 38; Topology = 333355668; NFace = 9;
NVert = 14; NEdge = 21
Faces: bcdefghi aihfdc abd acbfe adf aedbhg afh agfbi
ahb
Face Topology: 63536353 835653 865 83663 856 835653 865 83663 856
Vertices: abc acd ade aef afg agh ahi aib bih bhf bfd bdc dfe fhg
Vertex
Topology: 863 835 853 836 863 835 853 836 635 656 665 653 563 653
Face-Vertex
Adjacency: bAcBdCeDfEgFhGiHb aHiIhJfKdLcAa aAbLdBa aBcLbKfMeCa aCdMfDa aDeMdKbJhNgEa
aEfNhFa aFgNfJbIiGa aGhIbHa
Edges: ab ac ad ae af ag ah ai bi bh bf bd bc
cd df de ef fh fg gh hi
Index = 39; Topology = 333445578; NFace = 9;
NVert = 14; NEdge = 21
Faces: bcdefghi aihdc abd acbhgfe adf aedg afdh agdbi
ahb
Face Topology: 53734453 83573 857 8355443 874 8374 8475 84753 855
Vertices: abc ade aef afg agh ahi aib bih bhd bdc cda dhg dgf dfe
Vertex
Topology: 853 873 834 844 845 853 835 535 557 573 378 754 744 743
Face-Vertex
Adjacency: bAcKdBeCfDgEhFiGb aGiHhIdJcAa aAbJdKa aKcJbIhLgMfNeBa aBdNfCa aCeNdMgDa
aDfMdLhEa aEgLdIbHiFa aFhHbGa
Edges: ab ac ad ae af ag ah ai bi bh bd bc
cd dh dg df de ef fg gh hi
Index = 40; Topology = 333445578; NFace =
9; NVert = 14; NEdge = 21
Faces: bcdefghi aigdc abd acbge adgf aeg afedbih
agi ahgb
Face Topology: 53543734 84753 855 83574 8573 847 8345543 874 8375
Vertices: abc acd ade aef afg agh ahi aib big bgd bdc dge egf gih
Vertex
Topology: 853 835 854 843 837 873 834 845 547 575 553 574 473 743
Face-Vertex
Adjacency: bAcBdCeDfEgFhGiHb aHiIgJdKcAa aAbKdBa aBcKbJgLeCa aCdLgMfDa aDeMgEa
aEfMeLdJbIiNhFa aFgNiGa aGhNgIbHa
Edges: ab ac ad ae af ag ah ai bi bg bd
bc cd dg de eg ef fg gi gh hi
Index = 41; Topology = 333445668; NFace
= 9; NVert = 14; NEdge = 21
Faces: bcdefghi aic abid acigfe adf aedg afdih
agi ahgdcb
Face Topology: 34634536 864 8366 846543 864 8365 84663 856 835643
Vertices: abc ade aef afg agh ahi aib bic cid cda dig dgf dfe gih
Vertex
Topology: 834 863 834 845 853 836 863 364 466 468 665 654 643 563
Face-Vertex
Adjacency: bAcJdBeCfDgEhFiGb aGiHcAa aAbHiIdJa aJcIiKgLfMeBa aBdMfCa aCeMdLgDa
aDfLdKiNhEa aEgNiFa aFhNgKdIcHbGa
Edges: ab ac ad ae af ag ah ai bi bc ci
cd di dg df de ef fg gi gh hi
Index = 42; Topology = 333445668; NFace
= 9; NVert = 14; NEdge = 21
Faces: bcdefghi aihgdc abd acbgfe adf aedg afdbh
agbi ahb
Face Topology: 63634543 834563 866 836543 864 8365 84664 8563 846
Vertices: abc acd ade aef afg agh ahi aib bih bhg bgd bdc dgf dfe
Vertex
Topology: 863 836 863 834 845 854 843 836 634 645 656 663 654 643
Face-Vertex
Adjacency: bAcBdCeDfEgFhGiHb aHiIhJgKdLcAa aAbLdBa aBcLbKgMfNeCa aCdNfDa aDeNdMgEa
aEfMdKbJhFa aFgJbIiGa aGhIbHa
Edges: ab ac ad ae af ag ah ai bi bh bg bd
bc cd dg df de ef fg gh hi
Index = 43; Topology = 333455568; NFace =
9; NVert = 14; NEdge = 21
Faces: bcdefghi aihgc abged ace adcgf aeg afecbh
agbi ahb
Face Topology: 55353643 83465 85653 855 83563 856 835554 8653 845
Vertices: abc ade aef afg agh ahi aib bih bhg bgc cge ced cda egf
Vertex
Topology: 855 835 853 836 864 843 835 534 546 565 565 553 538 563
Face-Vertex
Adjacency: bAcMdBeCfDgEhFiGb aGiHhIgJcAa aAbJgKeLdMa aMcLeBa aBdLcKgNfCa aCeNgDa
aDfNeKcJbIhEa aEgIbHiFa aFhHbGa
Edges: ab ac ad ae af ag ah ai bi bh bg
bc cg ce cd de eg ef fg gh hi
Index = 44; Topology = 334444488; NFace
= 9; NVert = 14; NEdge = 21
Faces: bcdefghi aifc abfd acfe adf aedcbihg afh
agfi ahfb
Face Topology: 44438344 8484 8484 8483 848 83444443 884 8384 8484
Vertices: abc acd ade aef afg agh ahi aib bif bfc cfd dfe fih fhg
Vertex
Topology: 844 844 843 838 883 834 844 844 448 484 484 483 844 843
Face-Vertex
Adjacency: bAcBdCeDfEgFhGiHb aHiIfJcAa aAbJfKdBa aBcKfLeCa aCdLfDa aDeLdKcJbIiMhNgEa
aEfNhFa aFgNfMiGa aGhMfIbHa
Edges: ab ac ad ae af ag ah ai bi bf bc cf cd
df de ef fi fh fg gh hi
Index = 45; Topology = 334444578; NFace = 9;
NVert = 14; NEdge = 21
Faces: bcdefghi aihc abhgfed ace adcf aecg afch agcbi
ahb
Face Topology: 47344453 8357 8454443 874 8374 8474 8475 84743 854
Vertices: abc ade aef afg agh ahi aib bih bhc chg cgf cfe ced cda
Vertex
Topology: 847 834 844 844 845 853 834 435 457 754 744 744 743 738
Face-Vertex
Adjacency: bAcNdBeCfDgEhFiGb aGiHhIcAa aAbIhJgKfLeMdNa aNcMeBa aBdMcLfCa aCeLcKgDa
aDfKcJhEa aEgJcIbHiFa aFhHbGa
Edges: ab ac ad ae af ag ah ai bi bh bc ch
cg cf ce cd de ef fg gh hi
Index = 46; Topology = 334444668; NFace =
9; NVert = 14; NEdge = 21
Faces: bcdefghi aifedc abd acbe adbf aebihg afh
agfi ahfb
Face Topology: 63446344 846443 864 8364 8466 846443 864 8364 8466
Vertices: abc acd ade aef afg agh ahi aib bif bfe bed bdc fih fhg
Vertex
Topology: 863 834 844 846 863 834 844 846 646 664 644 643 644 643
Face-Vertex
Adjacency: bAcBdCeDfEgFhGiHb aHiIfJeKdLcAa aAbLdBa aBcLbKeCa aCdKbJfDa aDeJbIiMhNgEa
aEfNhFa aFgNfMiGa aGhMfIbHa
Edges: ab ac ad ae af ag ah ai bi bf be bd bc
cd de ef fi fh fg gh hi
Index = 47; Topology = 334445568; NFace = 9;
NVert = 14; NEdge = 21
Faces: bcdefghi aiedc abd acbe adbihf aehg afh agfei
aheb
Face Topology: 53464354 84643 854 8356 845454 8653 845 83464 8565
Vertices: abc ade aef afg agh ahi aib bie bed bdc cda eih ehf fhg
Vertex
Topology: 853 846 864 843 835 854 845 546 564 543 348 645 654 453
Face-Vertex
Adjacency: bAcKdBeCfDgEhFiGb aGiHeIdJcAa aAbJdKa aKcJbIeBa aBdIbHiLhMfCa aCeMhNgDa
aDfNhEa aEgNfMeLiFa aFhLeHbGa
Edges: ab ac ad ae af ag ah ai bi be bd bc
cd de ei eh ef fh fg gh hi
Index = 48; Topology = 334445568; NFace =
9; NVert = 14; NEdge = 21
Faces: bcdefghi aidc abd acbihe adhgf aeg afeh
agedi ahdb
Face Topology: 43653454 8463 846 834455 86543 854 8355 84564
8564
Vertices: abc acd ade aef afg agh ahi aib bid dih dhe ehg egf fhg
Vertex Topology: 843 836 865 853 834 845 854 844 446 645 655 554 543 354
Face-Vertex Adjacency: bAcBdCeDfEgFhGiHb aHiId@cAa aAb@dBa aBc@bIiJhKeCa aCdKhLgMfDa
aDeMgEa aEfMeLhFa aFgLeKdJiGa aGhJdIbHa
Edges: ab ac ad ae af ag ah ai bi
bd bc cd di dh de eh eg ef fg gh hi
Index = 49; Topology = 334455558;
NFace = 9; NVert = 14; NEdge = 21
Faces: bcdefghi aiedc abd acbe adbif aeihg
afh agfi ahfeb
Face Topology: 53455345 85543 854 8355 84555 85543 854 8355
84555
Vertices: abc ade aef afg agh ahi aib bie bed bdc cda eif fih fhg
Vertex Topology: 853 845 855 853 834 845 855 555 554 543 348 555 554 543
Face-Vertex Adjacency: bAcKdBeCfDgEhFiGb aGiHeIdJcAa aAbJdKa aKcJbIeBa aBdIbHiLfCa
aCeLiMhNgDa aDfNhEa aEgNfMiFa aFhMfLeHbGa
Edges: ab ac ad ae af ag ah ai
bi be bd bc cd de ei ef fi fh fg gh hi
Return to Symmetry Index
Return to polyhedra Enumeration Index
Return to Recreational Mathematics Index
Return to Professor Dutch's Home Page
Created 31 October 2016, Last Update 11 June 2020