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Symmetry
patterns on one side reflect or match other side perfectly or closely

Line
extends infinitely in two directions

catanary
curve of idealized hanging chain or cable when supported at ends & acted by its own weight

Parabola
examples include rainbow and bouncing ball

vertex angle
highest or lowest point of a parabola
Fractals
roughness pattern found in nature including cracked dirt or dry skin

fractals in nature examples
lightning bolts, leaves, tree branches
Circle in Greek
kirkos meaning turn or bend

Concentric circular rings or polygons
share same center, axis or origin with one inside other

Examples of polygons in nature
honeycomb cell and cubed pyrite
