Rotational Symmetry

One of four key isometries; rotation about a point through a given angle, with n-fold variants based on 360°/n invariance.

Neighborhood — ranked by edge-count

concept

two-fold rotational symmetry
related_to
Rotation by 180° about a center leaving the pattern invariant
rotation symmetry
related_to
Rotation about a point by an angle 360°/n leaving the pattern invariant
Isometry (Distance-Preserving Transformation)
associated_with
Fundamental mathematical concept; four types of isometries (translation, rotation, reflection, glide-reflection) form the basis of frieze pattern classification.

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Translation Symmetryconcept0.793
Movement in a given direction through a given distance; all frieze patterns possess this symmetry by definition.
Reflection Symmetryconcept0.793
One of four key isometries; reflection across a line (mirror line or axis of reflection).
LOCAL SYMMETRYconcept0.746
One of Alexander's fifteen properties; appears in birthday table, handshake, and namaste examples
Glide-Reflection Symmetryconcept0.743
One of four key isometries; combination of reflection and translation parallel to the mirror line.
Counterchange Symmetryconcept0.738
Property where background and foreground tiles have identical shapes; observed in pmg2 patterns at the Alhambra.
Symmetry Groupsconcept0.736
Left-Right Axis Asymmetryconcept0.736
Collective decision-making phenomenon where cells coordinate left/right identity; perturbations randomize outcomes at population level but maintain concordance within individuals.
Left Right Asymmetryconcept0.719
Bioelectrical circuits that set left-right organ placement; a morphogenetic decision akin to brain lateralization.