Cayley Fibergraphs

finite groups as polygonal product fibers
Interactive gallery

Group actions you can see.

Browse Cayley fibergraph figures, figure-rendered Cayley tables, and MP4 animations of the left action. Each group element is represented by its product-fiber figure Fh; each video shows how an actor x transforms the row Fg₁, …, Fgₙ into Fxg₁, …, Fxgₙ.

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41groups
27max order shown
3visual assets each
MP4action videos

Gallery

Expected folder layout: GROUP/figures/all_figures.png, GROUP/figures/cayley_table_with_figures.png, and GROUP/GROUP_cayley_fibergraph_action.mp4.

Cayley table with fibergraph figures for C2
Image not found
C2/figures/cayley_table_with_figures.png
C2

C2

|G| = 2

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C3
Image not found
C3/figures/cayley_table_with_figures.png
C3

C3

|G| = 3

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C4
Image not found
C4/figures/cayley_table_with_figures.png
C4

C4

|G| = 4

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for KleinFourGroup
Image not found
KleinFourGroup/figures/cayley_table_with_figures.png
KleinFourGroup

KleinFourGroup

|G| = 4

Special group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C5
Image not found
C5/figures/cayley_table_with_figures.png
C5

C5

|G| = 5

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C6
Image not found
C6/figures/cayley_table_with_figures.png
C6

C6

|G| = 6

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for S3
Image not found
S3/figures/cayley_table_with_figures.png
S3

S3

|G| = 6

Symmetric group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C7
Image not found
C7/figures/cayley_table_with_figures.png
C7

C7

|G| = 7

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C2xC2xC2
Image not found
C2xC2xC2/figures/cayley_table_with_figures.png
C2xC2xC2

C2xC2xC2

|G| = 8

Direct product group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C2xC4
Image not found
C2xC4/figures/cayley_table_with_figures.png
C2xC4

C2xC4

|G| = 8

Direct product group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C8
Image not found
C8/figures/cayley_table_with_figures.png
C8

C8

|G| = 8

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for D4
Image not found
D4/figures/cayley_table_with_figures.png
D4

D4

|G| = 8

Dihedral group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for Quaternions
Image not found
Quaternions/figures/cayley_table_with_figures.png
Quaternions

Quaternions

|G| = 8

Special group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C3xC3
Image not found
C3xC3/figures/cayley_table_with_figures.png
C3xC3

C3xC3

|G| = 9

Direct product group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C9
Image not found
C9/figures/cayley_table_with_figures.png
C9

C9

|G| = 9

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C10
Image not found
C10/figures/cayley_table_with_figures.png
C10

C10

|G| = 10

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for D5
Image not found
D5/figures/cayley_table_with_figures.png
D5

D5

|G| = 10

Dihedral group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C11
Image not found
C11/figures/cayley_table_with_figures.png
C11

C11

|G| = 11

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for A4
Image not found
A4/figures/cayley_table_with_figures.png
A4

A4

|G| = 12

Alternating group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C12
Image not found
C12/figures/cayley_table_with_figures.png
C12

C12

|G| = 12

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C3_C4
Image not found
C3_C4/figures/cayley_table_with_figures.png
C3_C4

C3_C4

|G| = 12

Special group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C6xC2
Image not found
C6xC2/figures/cayley_table_with_figures.png
C6xC2

C6xC2

|G| = 12

Direct product group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for D6
Image not found
D6/figures/cayley_table_with_figures.png
D6

D6

|G| = 12

Dihedral group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C13
Image not found
C13/figures/cayley_table_with_figures.png
C13

C13

|G| = 13

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C14
Image not found
C14/figures/cayley_table_with_figures.png
C14

C14

|G| = 14

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for D7
Image not found
D7/figures/cayley_table_with_figures.png
D7

D7

|G| = 14

Dihedral group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C15
Image not found
C15/figures/cayley_table_with_figures.png
C15

C15

|G| = 15

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C16
Image not found
C16/figures/cayley_table_with_figures.png
C16

C16

|G| = 16

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C4oD4
Image not found
C4oD4/figures/cayley_table_with_figures.png
C4oD4

C4oD4

|G| = 16

Special group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C8xC2
Image not found
C8xC2/figures/cayley_table_with_figures.png
C8xC2

C8xC2

|G| = 16

Direct product group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for D8
Image not found
D8/figures/cayley_table_with_figures.png
D8

D8

|G| = 16

Dihedral group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for M4_2
Image not found
M4_2/figures/cayley_table_with_figures.png
M4_2

M4_2

|G| = 16

Special group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for Q16
Image not found
Q16/figures/cayley_table_with_figures.png
Q16

Q16

|G| = 16

Special group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for SD16
Image not found
SD16/figures/cayley_table_with_figures.png
SD16

SD16

|G| = 16

Special group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C17
Image not found
C17/figures/cayley_table_with_figures.png
C17

C17

|G| = 17

Cyclic group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for D9
Image not found
D9/figures/cayley_table_with_figures.png
D9

D9

|G| = 18

Dihedral group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for D10
Image not found
D10/figures/cayley_table_with_figures.png
D10

D10

|G| = 20

Dihedral group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for D11
Image not found
D11/figures/cayley_table_with_figures.png
D11

D11

|G| = 22

Dihedral group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for D12
Image not found
D12/figures/cayley_table_with_figures.png
D12

D12

|G| = 24

Dihedral group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for S4
Image not found
S4/figures/cayley_table_with_figures.png
S4

S4

|G| = 24

Symmetric group · figure gallery, Cayley-table image, and action video.

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Cayley table with fibergraph figures for C3xC3xC3
Image not found
C3xC3xC3/figures/cayley_table_with_figures.png
C3xC3xC3

C3xC3xC3

|G| = 27

Direct product group · figure gallery, Cayley-table image, and action video.

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No matching groups found.

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