Brand Logo Radial Geometry & Topological Symmetry Analyzer

Preset Mark A (Left)

Preset Mark B (Right)

Polar Raycast Probe Angle 0°

Visual Overlays

Upload Custom SVG Logo

Perplexity Symmetry: C4

Mark A

Aperture Void: 0.280 Hull Compactness: 0.824

Central Aperture Index 0.280 Central void area / Total bounding box

Rotational Symmetry Order C4 (90°) Auto-detected rotational degree

Convex Hull Compactness 0.824 Area ratio to convex hull

Euler Topology (Nodes / Path) 32 / 4 Intersection points & sub-loops

Microsoft Copilot Symmetry: C2

Mark B

Aperture Void: 0.150 Hull Compactness: 0.741

Central Aperture Index 0.150 Central void area / Total bounding box

Rotational Symmetry Order C2 (180°) Auto-detected rotational degree

Convex Hull Compactness 0.741 Area ratio to convex hull

Euler Topology (Nodes / Path) 24 / 2 Intersection points & sub-loops

Topological Feature Radar Matrix D3 Vector Overlay

Rotational Cross-Correlation Spectrum (C1 - C12) Continuous Angular Sweep

Topological & Geometric Comparison Verdict:

Comparing Perplexity (Mark A) vs. Microsoft Copilot (Mark B): Perplexity exhibits a significantly higher Central Aperture Index of 0.280 (representing a pronounced central void or radial aperture) and a strict 4-fold rotational symmetry (C4 order / 90° invariant).

In contrast, Microsoft Copilot presents a Central Aperture Index of 0.150 (a compressed inner loop void) with 2-fold rotational symmetry (C2 order / 180° invariant) forming a Möbius ribbon enclosure.