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Functions for protein visualizations
Wolfram Language functions for Chemistry
A collection of lesser-known circular and hyperbolic trig functions and their inverses
Symmetry data and utilities related to crystallography and X-ray scattering
This paclet is for recreational mathematics and math puzzles
Compute the osculating plane of a space curve
Get the osculating parabola of a plane curve
Get the osculating conic of a plane curve
Compute the rectifying plane of a space curve
Compute the normal plane of a space curve
Compute the tangent plane of a parametric surface
Get the osculating circle of a curve
Compute the defining properties of the osculating circle for a curve at a point
Get the Hessian normal form of a plane passing through three given points in space
Find the tangent plane of a function at a point
Compute the angle between two planes in R^3
Compute the intersection point of a plane and line
Get the hyperplane that best fits a set of points
Enumerate all isomorphisms given a configuration of a Steiner triple system (2, 3, 7) on the Fano plane
Generate a set of integers that can create Dobble cards
Determine whether a set of points lies in a plane
Compute a strophoid curve
Classification of Steiner Surfaces
Compute the aberrancy of a plane curve
Create a list of all triangles with side lengths a and b and angle β opposite the side with length b
Detect molecular point groups describing the symmetry of a molecule
Compute the curve of aberrancy of a plane curve
Compute the radius of aberrancy of a plane curve
Find a cubic plane curve that passes through nine given 2D points
Create a triangular grid graph with customizable width and height, represented as a parallelogram composed of triangular grids
Construct special triangles of a triangle
Get the coordinates of the points on a triangular spiral
Construct a specified Kimberling center of a triangle
Plot a list of vectors in the plane
Get the coordinates of the points on a hexagonal spiral
Solve for a given quantity in a geometric scene
Get the coordinates of the points on a square spiral with sides parallel to the axes
Convert a point reflected in a spherical mirror to its spherical anamorphosis map in a plane parallel to the xy-plane
Compute the Whewell equation for a plane curve
Generate a tessellation of the plane with specified cell shapes
Calculate the radical hyperplane of two hyperspheres
Project 3D graphics onto a plane
Find the area between two plane curves
Visualize the behavior of conformal mappings in the complex plane
Compute the evolutoid of a curve
Compute the stereographic projection from the unit sphere to a plane
Compute the inversion of an object with respect to a reference circle in the Euclidean plane
Classify and plot any polynomial of degree two or less in three or fewer variables
Compute the evolute of a curve
Compute the parametrization of a curve projected onto the unit sphere
Create an interface for constructing a GeometricScene
Compute the integral describing the area between two plane curves
Reflect a set of points over a line, plane or hyperplane defined by points
Create a parametric plot of a curve in the plane with direction indicated by arrowheads and color
Plot cubic lattice crystallographic planes with h, k, l Miller indices
Compute polygons, circles, compositions and transformation functions for the tessellation of the upper half-plane by the modular group
3D graphic of Saturn oriented to match the tilt of the ring plane as seen from Earth
Give a contour plot of a function together with the projections onto the xy-plane of the given sections of the plot
Get the Hessian normal form of a line passing through two given points on the Cartesian plane
Compute the point group symmetry symbol of a molecule or a polyhedron
A version of VectorAngle for 2D vectors that can return negative angles
Lattice points in a square in zigzag order from the bottom-left to the top-right corner
Find the tangency points on a circle emanating from a point
Return the orthocenter of a triangle
Convert a point reflected in the base of a right conical mirror to its conic anamorphic map in the xy plane
Give the distance between two points in hyperbolic space
Test if a piece of a graphic is a graphics primitive
Produce a rhombus for use in graphics
Represent a polygon with rounded corners
Create a graphic of nested circles and polygons inside an initial regular polygon
Compute the geometric supplement to a given angle using degrees
Compute the geometric complement to a given angle using degrees
Compute the reference angle to a given input angle
Compute the reference angle to a given input angle using degrees
Compute the geometric complement to a given angle
A curved line between two points
Compute the geometric supplement to a given angle
Represent a hyperbolic polygon embedded in the Poincaré disk
Represent a hyperbolic line segment or polyline embedded in the Poincaré disk
Generate the Steiner circumellipse of a 2D triangle
Get the four main points of the Euler line of a triangle
Return the Gergonne point of a triangle
Given edge lengths of a triangle, return the angles opposite those edges
Generate random Mondrian patterns
Find the intersection of two circles
Return the lines passing through three or more points, given a set of points
Represent a polygon with notched corners
Modify a BSplineCurve object to have explicit settings for certain options
Divide an image into a list of colored polygons centered around the origin
Perform Lloyd's algorithm to find evenly spaced points in a region
Approximate the generalized Voronoi mesh for non-overlapping geometries
Generate a mesh geometry from points without including exterior concave perimeter areas or holes
Get the orientation of a simplex
Represent a polyline with rounded corners
Make a hole in the middle of a polygon
Given a 3D triangle, return an equivalent 2D triangle along with a transformation function
Make a random scribble graphic
A cellular automata method for creating cartograms
Create a smooth parametrized function from a list of points with flexible control over smoothing
Calculate integer 2D point locations along a line using Bresenham's method
Create quadrilateral polygon with two parallel sides
Get the three Lucas circles of a given triangle
Interpolate over values given at the vertices of a polygon
Compute the polar radius of a regular polygon
Get the shortest displacement between two points in a box with periodic boundary conditions
Calculate the convex layers of a set of 2D points
Divide an image into an array of colored squares
Plot the composition of cycles having different radii, frequencies and phases
Represent a Reuleaux polygon
Compute shortest tours visiting all lattice points within each Voronoi cell in a region
Give all the polyominoes of a specified rank
Compute the signed area of a polygon
Compute the Cesàro equation for a planar curve
Find the barycentric coordinates of a point
Find the shortest paths between two points in 2D regions
Get the standard simplex for a specified dimension
Make plots of Penrose tiles
Fill holes in MeshRegion objects
Get trigonometric datasets including closed-form values
Generate a Morton (z-order) curve
Compute the turning number of a curve
Plot the Frenet–Serret frame of a curve
Generate circle packings covering a picture
Compute the total signed curvature of a curve
Evaluate the shortest distance between two points in a box with periodic boundary conditions
Test if three given lengths make a triangle
Show the Gershgorin disks of a square matrix
Get the measure of a simplex or simplicial complex
Create a graph of a regular hyperbolic tiling
Evaluate the Theodorus function
Evaluate the solution of the standard Kepler equation
Plot polygons after iteratively applying a translation, scaling and rotation
Generate the Lévy C curve
Find an instance of n-dimensional vectors that produce a specified distance matrix
Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss
Create a noncontiguous cartogram
Generate a cubic B-spline curve that passes through given points
Compute the projection matrix for a given vector space
Generate Schmidt arrangements of circles
Compute the control points of a Bézier curve that interpolates a given set of points
Evaluate the Cayley-Menger matrix of a simplex
Generate the graph associated with a parametric description of a manifold
Create a non-overlapping cartogram type with visual equalization, partial topology preservation and no shape preservation
Classifies and plots any polynomial of degree two or less in two or fewer variables
Compute Moran's I spatial autocorrelation coefficient
Calculate the ray transfer matrix of a Gaussian optical system
Get an association of the properties of a conic section
Given a simplex and point, find the cevians
Get an association of the properties of the given parabola
Compute the normal vector to a 3D polygon
Fit an ellipse to a list of 2D points
Visualize the noise sphere of a set of random numbers