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• Infinite dihedral group

geometry, the infinite dihedral group represents the frieze group symmetry, p1m1, seen as an infinite set of parallel reflections along an axis. Every dihedral

• Frieze group

seven frieze groups p1: T (translation only, in the horizontal direction) p1m1: TV (translation and vertical line reflection) p11m: THG (translation, horizontal

• Line group

Orbifold Schönflies Conway Coxeter Fundamental domain p1 ∞∞ C∞ C∞ [∞,1]+ p1m1 *∞∞ C∞v CD2∞ [∞,1] p11g ∞x S2∞ CC2∞ [∞+,2+] p11m ∞* C∞h ±C∞ [∞+,2] p2 22∞

• Wallpaper group

Crystallographic short and full names Short pm pg cm pmm pmg pgg cmm p4m p4g p6m Full p1m1 p1g1 c1m1 p2mm p2mg p2gg c2mm p4mm p4gm p6mm

• Cyclic symmetry in three dimensions

Notations Examples IUC Orbifold Coxeter Schönflies* Euclidean plane Cylindrical (n=6) p1 ∞∞ [∞]+ C∞ p1m1 *∞∞ [∞] C∞v p11m ∞* [∞+,2] C∞h p11g ∞× [∞+,2+] S∞

• Polychromatic symmetry

5 6 7 8 9 10 11 12 p111 1 1 1 1 1 1 1 1 1 1 1 p1a1 1 1 1 1 1 1 1 1 1 1 1 p1m1 3 1 3 1 3 1 3 1 3 1 3 pm11 2 1 2 1 2 1 2 1 2 1 2 p112 2 1 2 1 2 1 2 1 2 1

• Point groups in three dimensions

rotoreflection symmetry n/m 2n Cnh n* [n+,2] p11m Zn×Z2 2n nmm nm Cnv *nn [n] p1m1 Dihn 2n Pyramidal symmetry; in biology, biradial symmetry n22 n2 Dn 22n [n

• Orbifold notation

reflection, with translations being obtained by combining two glide reflections. p1m1 [∞] C∞v Dih∞ *∞∞ sidle (TV) Vertical reflection lines and Translations: The

• List of planar symmetry groups

[1,∞], IUC (orbifold) Geo Schönflies Coxeter Fundamental domain Example p1m1 (*∞•) p1 C∞v [1,∞] sidle p1 (∞•) p1 C∞ [1,∞]+ hop

• Uniform tiling

Config. Wythoff Symmetry Notes I1 ∞.∞ p1m1 (Two half-plane tiles, order-2 apeirogonal tiling) I2 4.4.∞ ∞ 2 | 2 p1m1 Apeirogonal prism I3 3.3.3.∞ | 2 2 ∞

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Astrological/horoscope meaning of p1m1. p1m1 means: undefined

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P: Meaning of P in the acronym p1m1 means: P has a heavy top standing on just a point to show it's strenght. It means strong, the ability tp perceive weakness and opportunities easily and clear-sightedness. By standing on its own, it shows self-centeredness, a thriving attitude and rigorousness. P also shows disconnection, strong will to go even alone and impartiality.

1: Meaning of 1 in the acronym p1m1 means: undefined

M: Meaning of M in the acronym p1m1 means: While M stands on two points, it has three projections pointing downwards. M is dracious, stable and temperamental. M could also be overwhelming with a great strenght of character and a strong in mind.

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