**LIST OF SHAPES**

*Balmoral Software*

ShapeConvex x-symmetric y-symmetric DefinitionT Lobe Arbelos Piecewise [0,2π) Bicorn ✓ Parametric [-π,π) Bifolium ✓ Polar [0,π) [0,π/2) Bowtie ✓ ✓ Polar [0,2π) [-π/3,π/3) Cardioid ✓ Polar [0,2π) Cayley sextic ✓ Polar [-π,π) Cochleoid ✓ Polar [-π,π) Cycloid arches ✓ ✓ ✓ Piecewise [0,2π) Deltoid ✓ Parametric [0,2π) Dipole ✓ ✓ Polar [0,2π) [-π/2,π/2) Dumbbell curve ✓ ✓ Parametric [0,2π) [-π/2,π/2) Epicycloid ✓ Parametric [0,2π) [-2π/3,4π/3] Fish curve ✓ Parametric [0,2π) [-π/2,π/2) Heart curve ✓ Parametric [0,2π) Hippopede ✓ ✓ Polar [0,2π) Lemniscate of Bernoulli ✓ ✓ Parametric [0,2π) [-π/2,π/2) Lemniscate of Gerono ✓ ✓ Parametric [0,2π) [-π/2,π/2) Lima bean curve (rotated) ✓ Polar [0,π) Lune ✓ Piecewise [0,2π) Mouth ✓ ✓ Parametric [0,2π) Nephroid ✓ ✓ Parametric [0,2π) Piriform curve ✓ Parametric [0,2π) Rose ✓ Polar [0,2π) [-π/3,π/3) Sector ✓ ✓ Piecewise [0,2π) Segment ✓ ✓ Piecewise [0,2π) Strophoid, right ✓ ✓ Polar [-π/4,π/4) Teardrop curve ✓ Parametric [0,2π) Trefoil ✓ Polar [0,π) [-π/2,π/2) Triangle, isosceles ✓ ✓ Piecewise [0,2π) Trisectrix ✓ ✓ Polar [-π/3,π/3) Tschirnhausen cubic ✓ ✓ Polar [-π,π) Vesica Piscis ✓ ✓ ✓ Piecewise [0,2π)

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