File:3d Symmetries face.png
Summary
Cubic grid symmetries fixing a face. 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_cf"[style=filled]
"C2_cf" -> "C1"
"C2_fe"[style=filled]
"C2_fe" -> "C1"
"CC2_c"[style=filled]
"CC2_c" -> "C1"
"±C1_f" -> "C1"
"C2_fk"[style=filled]
"C2_fk" -> "C1"
"CC2_f"[style=filled]
"CC2_f" -> "C1"
"±C2_fe" -> "CC2_c"
"±C2_fe" -> "±C1_f"
"±C2_fe" -> "C2_fe"
"CD4_fe"[style=filled]
"CD4_fe" -> "CC2_c"
"CD4_fe" -> "C2_fe"
"CD4_fe" -> "CC2_f"
"CD4_fk"[style=filled]
"CD4_fk" -> "CC2_/"
"CD4_fk" -> "C2_fk"
"CD4_fk" -> "CC2_f"
"±C2_fk" -> "CC2_/"
"±C2_fk" -> "C2_fk"
"±C2_fk" -> "±C1_f"
"±C2_fc" -> "C2_cf"
"±C2_fc" -> "CC2_f"
"±C2_fc" -> "±C1_f"
"D4_fk" -> "C2_cf"
"D4_fk" -> "C2_fk"
"CD4_cfo"[style=filled]
"CD4_cfo" -> "CC2_c"
"CD4_cfo" -> "C2_cf"
"C4_cf"[style=filled]
"C4_cf" -> "C2_cf"
"CD4_cfd"[style=filled]
"CD4_cfd" -> "C2_cf"
"CD4_cfd" -> "CC2_/"
"D4_fe" -> "C2_cf"
"D4_fe" -> "C2_fe"
"CC4_fc" -> "C2_cf"
"±C4_fc" -> "±C2_fc"
"±C4_fc" -> "C4_cf"
"±C4_fc" -> "CC4_fc"
"DD8_fk" -> "CD4_cfo"
"DD8_fk" -> "D4_fk"
"DD8_fk" -> "CC4_fc"
"D8_f" -> "C4_cf"
"D8_f" -> "D4_fk"
"D8_f" -> "D4_fe"
"±D4_fk" -> "CD4_fk"
"±D4_fk" -> "±C2_fc"
"±D4_fk" -> "CD4_cfd"
"±D4_fk" -> "±C2_fk"
"±D4_fk" -> "D4_fk"
"±D4_fe" -> "CD4_cfo"
"±D4_fe" -> "CD4_fe"
"±D4_fe" -> "±C2_fe"
"±D4_fe" -> "±C2_fc"
"±D4_fe" -> "D4_fe"
"CD8_cf"[style=filled]
"CD8_cf" -> "CD4_cfo"
"CD8_cf" -> "CD4_cfd"
"CD8_cf" -> "C4_cf"
"DD8_fe" -> "D4_fe"
"DD8_fe" -> "CD4_cfd"
"DD8_fe" -> "CC4_fc"
"±D8_f" -> "CD8_cf"
"±D8_f" -> "DD8_fk"
"±D8_f" -> "±D4_fe"
"±D8_f" -> "D8_f"
"±D8_f" -> "±C4_fc"
"±D8_f" -> "±D4_fk"
"±D8_f" -> "DD8_fe"
}
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 05:02, 20 July 2026 | | 1,456 × 443 (169 KB) | Gzaytman (talk | contribs) | |
| 16:07, 19 July 2026 |  | 1,456 × 443 (166 KB) | Gzaytman (talk | contribs) | Cubic grid symmetries fixing a face. Blue arrows correspond to non-normal subgroups. Generated using Graphviz from the following input file: digraph symmetries { "C1" "CC2_/" -> "C1" "C2_cf" -> "C1" "C2_fe" -> "C1" "CC2_c" -> "C1" "±C1_f" -> "C1" "C2_fk" -> "C1" "CC2_f" -> "C1" "±C2_fe" -> "CC2_c" "±C2_fe" -> "±C1_f" "±C2_fe" -> "C2_fe" "CD4_fe" -> "CC2_c" "CD4_fe" -> "C2_fe" "CD4_fe" -> "CC2_f" "CD4_fk" -> "CC2_/" "CD4_fk" -> "C2_fk" "CD4_fk" -> "CC2_f" "±C2_fk" -> "CC2_... |
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