Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Category
Plane Geometry
99 items
AberrancyCurve
Compute the curve of aberrancy of a plane curve
ApproximateGeneralizedVoronoiMesh
Approximate the generalized Voronoi mesh for non-overlapping geometries
ArcLine
A curved line between two points
BezierInterpolatingControlPoints
Compute the control points of a Bézier curve that interpolates a given set of points
BlendLine
Blend between lines
BresenhamPoints
Calculate integer 2D point locations along a line using Bresenham's method
CayleyMengerMatrix
Evaluate the Cayley-Menger matrix of a simplex
CellularAutomataCartogram
A cellular automata method for creating cartograms
CesaroEquation
Compute the Cesàro equation for a planar curve
CircleIntersection
Find the intersection of two circles
CircleInversion
Compute the inversion of an object with respect to a reference circle in the Euclidean plane
CircleTangencyPoints
Find the tangency points on a circle emanating from a point
ComplementaryAngle
Compute the geometric complement to a given angle
ComplementaryAngleDegree
Compute the geometric complement to a given angle using degrees
ConicSectionPlot
Classifies and plots any polynomial of degree two or less in two or fewer variables
ConvexLayers2D
Calculate the convex layers of a set of 2D points
Cos2PiOverFermatPrime
Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss
CubicSplineCurve
Generate a cubic B-spline curve that passes through given points
CurveAberrancy
Compute the aberrancy of a plane curve
CurveToBSplineFunction
Create a smooth parametrized function from a list of points with flexible control over smoothing
DigitalCirclism
Generate circle packings covering a picture
DorlingCartogram
Create a non-overlapping cartogram type with visual equalization, partial topology preservation and no shape preservation
DoyleSpiral
Plot Doyle spirals
EpicyclePlot
Plot the composition of cycles having different radii, frequencies and phases
EulerLinePoints
Get the four main points of the Euler line of a triangle
FillMeshHoles
Fill holes in MeshRegion objects
FindDistanceInstance
Find an instance of n-dimensional vectors that produce a specified distance matrix
FindExtraordinaryLines
Return the lines passing through three or more points, given a set of points
FrenetSerretPlot
Plot the Frenet–Serret frame of a curve
FullBSplineCurve
Modify a BSplineCurve object to have explicit settings for certain options
GeometricSolve
Solve for a given quantity in a geometric scene
GergonnePoint
Return the Gergonne point of a triangle
GershgorinDisks
Show the Gershgorin disks of a square matrix
HexagonalSpiralPoints
Get the coordinates of the points on a hexagonal spiral
HyperbolicPoincareLine
Represent a hyperbolic line segment or polyline embedded in the Poincaré disk
HyperbolicPoincarePolygon
Represent a hyperbolic polygon embedded in the Poincaré disk
ImageRadialDivide
Divide an image into a list of colored polygons centered around the origin
ImageSquareDivide
Divide an image into an array of colored squares
InverseStereographicProjection
Compute the parametrization of a curve projected onto the unit sphere
IteratedAffinePlot
Plot polygons after iteratively applying a translation, scaling and rotation
KeplerE
Evaluate the solution of the standard Kepler equation
LSystem
Generate an L-system
LevyCCurve
Generate the Lévy C curve
LloydAlgorithm
Perform Lloyd's algorithm to find evenly spaced points in a region
LucasCircles
Get the three Lucas circles of a given triangle
ModularTessellation
Compute polygons, circles, compositions and transformation functions for the tessellation of the upper half-plane by the modular group
MoranI
Compute Moran's I spatial autocorrelation coefficient
MortonCurve
Generate a Morton (z-order) curve
NestedIncirclePolygons
Create a graphic of nested circles and polygons inside an initial regular polygon
NonConvexHullMesh
Generate a mesh geometry from points without including exterior concave perimeter areas or holes
NoncontiguousCartogram
Create a noncontiguous cartogram
NotchedPolygon
Represent a polygon with notched corners
Orthocenter
Return the orthocenter of a triangle
ParametricManifoldToGraph
Generate the graph associated with a parametric description of a manifold
PenroseTile
Make plots of Penrose tiles
PerforatePolygons
Make a hole in the middle of a polygon
PeriodicBoxDisplacement
Get the shortest displacement between two points in a box with periodic boundary conditions
PeriodicBoxDistance
Evaluate the shortest distance between two points in a box with periodic boundary conditions
PolygonInterpolation
Interpolate over values given at the vertices of a polygon
Polyomino
Give all the polyominoes of a specified rank
ProjectionMatrix
Compute the projection matrix for a given vector space
RadicalHyperplane
Calculate the radical hyperplane of two hyperspheres
RandomMondrian
Generate random Mondrian patterns
RandomScribble
Make a random scribble graphic
RayTransferMatrix
Calculate the ray transfer matrix of a Gaussian optical system
ReferenceAngle
Compute the reference angle to a given input angle
ReferenceAngleDegree
Compute the reference angle to a given input angle using degrees
RegionFindShortestPath
Find the shortest paths between two points in 2D regions
RegularHyperbolicTilingGraph
Create a graph of a regular hyperbolic tiling
RegularPolygonAngleRadius
Compute the polar radius of a regular polygon
ReuleauxPolygon
Represent a Reuleaux polygon
Rhombus
Produce a rhombus for use in graphics
RoundedLine
Represent a polyline with rounded corners
RoundedPolygon
Represent a polygon with rounded corners
SchmidtArrangements
Generate Schmidt arrangements of circles
SignedArea
Compute the signed area of a polygon
SignedVectorAngle
A version of VectorAngle for 2D vectors that can return negative angles
SimplexMeasure
Get the measure of a simplex or simplicial complex
SimplexOrientation
Get the orientation of a simplex
SphericAnamorphosisMap
Convert a point reflected in a spherical mirror to its spherical anamorphosis map in a plane parallel to the xy-plane
Spirograph
Plot a spirograph
SquareSpiralPoints
Get the coordinates of the points on a square spiral with sides parallel to the axes
SquareZigzagPoints
Lattice points in a square in zigzag order from the bottom-left to the top-right corner
StandardSimplex
Get the standard simplex for a specified dimension
SteinerCircumellipse
Generate the Steiner circumellipse of a 2D triangle
StrophoidCurve
Compute a strophoid curve
SupplementaryAngle
Compute the geometric supplement to a given angle
SupplementaryAngleDegree
Compute the geometric supplement to a given angle using degrees
TessellationPlot
Generate a tessellation of the plane with specified cell shapes
TheodorusT
Evaluate the Theodorus function
TotalSignedCurvature
Compute the total signed curvature of a curve
Trapezoid
Create quadrilateral polygon with two parallel sides
Triangle3DTo2D
Given a 3D triangle, return an equivalent 2D triangle along with a transformation function
TriangleEdgeAngles
Given edge lengths of a triangle, return the angles opposite those edges
TriangleEdgesQ
Test if three given lengths make a triangle
TriangularSpiralPoints
Get the coordinates of the points on a triangular spiral
TrigDataset
Get trigonometric datasets including closed-form values
TurningNumber
Compute the turning number of a curve
VoronoiCellTours
Compute shortest tours visiting all lattice points within each Voronoi cell in a region