File:3d Symmetries edge.png
Summary
Cubic grid symmetries fixing an edge. Shaded nodes are symmetries that are in at least one of the other graphs.
Generated using Graphviz from the following input file:
digraph symmetries {
"C1"[style=filled]
"CC2_/"[style=filled]
"CC2_/" -> "C1"
"C2_ek"[style=filled]
"C2_ek" -> "C1"
"C2_fe"[style=filled]
"C2_fe" -> "C1"
"CC2_f"[style=filled]
"CC2_f" -> "C1"
"±C1_e" -> "C1"
"C2_ce"[style=filled]
"C2_ce" -> "C1"
"CC2_c"[style=filled]
"CC2_c" -> "C1"
"±C2_ef" -> "CC2_f"
"±C2_ef" -> "±C1_e"
"±C2_ef" -> "C2_fe"
"CD4_fe"[style=filled]
"CD4_fe" -> "CC2_f"
"CD4_fe" -> "C2_fe"
"CD4_fe" -> "CC2_c"
"CD4_ce"[style=filled]
"CD4_ce" -> "CC2_/"
"CD4_ce" -> "C2_ce"
"CD4_ce" -> "CC2_c"
"±C2_ec" -> "CC2_/"
"±C2_ec" -> "C2_ce"
"±C2_ec" -> "±C1_e"
"±C2_ek" -> "C2_ek"
"±C2_ek" -> "CC2_c"
"±C2_ek" -> "±C1_e"
"D4_ec" -> "C2_ek"
"D4_ec" -> "C2_ce"
"CD4_eko"[style=filled]
"CD4_eko" -> "CC2_f"
"CD4_eko" -> "C2_ek"
"C4_ek"[style=filled]
"C4_ek" -> "C2_ek"
"CD4_ekd"[style=filled]
"CD4_ekd" -> "C2_ek"
"CD4_ekd" -> "CC2_/"
"D4_ef" -> "C2_ek"
"D4_ef" -> "C2_fe"
"CC4_ek" -> "C2_ek"
"±C4_ek" -> "±C2_ek"
"±C4_ek" -> "C4_ek"
"±C4_ek" -> "CC4_ek"
"DD8_ec" -> "CD4_eko"
"DD8_ec" -> "D4_ec"
"DD8_ec" -> "CC4_ek"
"D8_e" -> "C4_ek"
"D8_e" -> "D4_ec"
"D8_e" -> "D4_ef"
"±D4_ec" -> "CD4_ce"
"±D4_ec" -> "±C2_ek"
"±D4_ec" -> "CD4_ekd"
"±D4_ec" -> "±C2_ec"
"±D4_ec" -> "D4_ec"
"±D4_ef" -> "CD4_eko"
"±D4_ef" -> "CD4_fe"
"±D4_ef" -> "±C2_ef"
"±D4_ef" -> "±C2_ek"
"±D4_ef" -> "D4_ef"
"CD8_ek"[style=filled]
"CD8_ek" -> "CD4_eko"
"CD8_ek" -> "CD4_ekd"
"CD8_ek" -> "C4_ek"
"DD8_ef" -> "D4_ef"
"DD8_ef" -> "CD4_ekd"
"DD8_ef" -> "CC4_ek"
"±D8_e" -> "CD8_ek"
"±D8_e" -> "DD8_ec"
"±D8_e" -> "±D4_ef"
"±D8_e" -> "D8_e"
"±D8_e" -> "±C4_ek"
"±D8_e" -> "±D4_ec"
"±D8_e" -> "DD8_ef"
}
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 05:04, 20 July 2026 | | 1,480 × 443 (172 KB) | Gzaytman (talk | contribs) | |
| 16:09, 19 July 2026 |  | 1,480 × 443 (169 KB) | Gzaytman (talk | contribs) | Cubic grid symmetries fixing an edge. Blue arrows correspond to non-normal subgroups. Generated using Graphviz from the following input file: digraph symmetries { "C1" "CC2_/" -> "C1" "C2_ek" -> "C1" "C2_fe" -> "C1" "CC2_f" -> "C1" "±C1_e" -> "C1" "C2_ce" -> "C1" "CC2_c" -> "C1" "±C2_ef" -> "CC2_f" "±C2_ef" -> "±C1_e" "±C2_ef" -> "C2_fe" "CD4_fe" -> "CC2_f" "CD4_fe" -> "C2_fe" "CD4_fe" -> "CC2_c" "CD4_ce" -> "CC2_/" "CD4_ce" -> "C2_ce" "CD4_ce" -> "CC2_c" "±C2_ec" -> "CC2... |
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