Translation Symmetry

Movement in a given direction through a given distance; all frieze patterns possess this symmetry by definition.

Neighborhood — ranked by edge-count

paper

concept

p111 Frieze Pattern
associated_with
First of seven frieze types; has only translation symmetry, no rotations, reflections, or glide-reflections.
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.

rotation symmetryconcept0.813
Rotation about a point by an angle 360°/n leaving the pattern invariant
Reflection Symmetryconcept0.811
One of four key isometries; reflection across a line (mirror line or axis of reflection).
Rotational Symmetryconcept0.793
One of four key isometries; rotation about a point through a given angle, with n-fold variants based on 360°/n invariance.
LOCAL SYMMETRYconcept0.777
One of Alexander's fifteen properties; appears in birthday table, handshake, and namaste examples
Local-Symmetry Transformationconcept0.773
A transformation that strengthens a center by giving it an internal axis of symmetry, local to the center.
Symmetry Breakingconcept0.773
Symmetry detectorconcept0.770
Functional role of SOHMs, detecting symmetries in input to compress information.
Symmetry Groupsconcept0.767