Wpf: Path surfaces in 3D# Surfaces based on parametric curves: \(x=f(t)\), \(y=g(t)\) \([, z=h(t)]\) Introduction to path surfaces Borromean rings, A, B, C Ellipses, A, B, C Trefoil 2 Formatting options for path surfaces, Trefoil 5 Functions with real input and complex results Expj (Cis) function Hankel function of the first kind \(H_{1, \nu}(x)\) Hankel function of the second kind \(H_{2, \nu}(x)\) Kelvin functions ber and bei Kelvin functions ker and kei Characteristic functions of statistical distributions Uniform distribution Normal distribution Chi-squared distribution Beta distribution F distribution Non-central Chi-squared distribution Binomial distribution Hypergeometric distribution Helices and related curves traced on cylinders, cones and spheres Cylindrical helix Conical helix based on Archimedes spiral (spiral of Pappus) Conical helix based on Fermat’s spiral Conical helix based on the logarithmic spiral (Concho-Spiral) Rhumb line of the sphere Clelia Spherical helix Satellite curve (Coil) springs Spring 1 Spring 2 Spring 3 Spring 4 Spring 5 Spring 6 Spring 7 Spring 8 General knots Trefoil A Trefoil B Square knot Granny knot Cinquefoil Knot 74 Knot Figure-eight knot Torus knots Torus knot 3:2 Torus knot 5:2 Torus knot 7:2 Torus knot 7:3 Torus knot 15:2 Lissajous knots Lissajous knot 1-1-1 Lissajous knot 1-2-1 Lissajous knot 1-5-3 Lissajous knot 3-5-2 Lissajous knot 3-5-7 Polynomial knots Polynomial knot 3-1 Polynomial knot 4-1 Polynomial knot 5-1 Polynomial knot 6-2 Polynomial knot 7-4