Logo Symmetry & Topology Diagnostic

Vector Geometry Drafting Grid

PRESET: PERPLEXITY_KNOT

Vector Outline

Central Void Aperture

Intersection Nodes

Symmetry Axes

Brand Geometry Presets Select to compare

Parametric Controls LIVE

Radial Spokes / Order (n) 4

Central Aperture Radius Ratio 0.28

Twist Angle (degrees) 45°

Inner Knot Core Radius 0.45

Curve Harmonic / Density 1.80

Central Void Ratio

0.28

Open Central Void

Radial Symmetry Group

D4

Dihedral / Cyclic symmetry classification

Topological Genus (g)

1

Number of enclosed interior apertures

Euler Characteristic (χ)

1

Formula: V - E + F topological invariant

Visual Complexity Score

78.4

Normalized geometric density & crossing index

Geometric & Topological Diagnostic Report

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