Symmetry Groups
Mathematically, 2D symmetry patterns fall into 17 distinct wallpaper groups. Each group describes a unique combination of reflection, rotation, and translation symmetries — and these 17 are the only possibilities.
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Draw with real-time bilateral and radial symmetry
θ = 360° / 2 = 180.0°p' = (W − x, y) → mirror across vertical axispₖ = R(2πk/n) · p for k = 0..n−1Mathematically, 2D symmetry patterns fall into 17 distinct wallpaper groups. Each group describes a unique combination of reflection, rotation, and translation symmetries — and these 17 are the only possibilities.