Category

# Geometry

106 items

• ### AkimaInterpolation

Interpolation and smooth curve fitting based on local procedures

• ### AkimaSpline

Smooth curve interpolation based on local procedures for a multiple-valued curve (x(u), y(u))

• ### AlgebraicSubstitutionTiling

Return a substitution tiling

• ### ArcCosDegree

Compute the inverse cosine of a number and return a result in degrees

• ### ArcCotDegree

Compute the inverse cotangent of a number and return a result in degrees

• ### ArcCscDegree

Compute the inverse cosecant of a number and return a result in degrees

• ### ArcLine

A curved line between two points

• ### ArcSecDegree

Compute the inverse secant of a number and return a result in degrees

• ### ArcSinDegree

Compute the inverse sine of a number and return a result in degrees

• ### ArcTanDegree

Compute the inverse tangent of a number and return a result in degrees

• ### AreaBetweenCurves

Find the area between two plane curves

• ### BarycentricCoordinates

Find the barycentric coordinates of a point

• ### BilliardPolygon

Show the trajectory of a ball bouncing in a regular n-sided polygon

• ### BlendLine

Blend between lines

• ### BoundaryElementMeshJoin

Join multiple boundaries to form a single boundary ElementMesh

• ### BuckyballGraph

Create a graph of an order-n buckyball

• ### CatacausticCurve

Compute the catacaustic of a curve

• ### CenteredSimplex

Return an origin-centered simplex where the square of all edge lengths is 2

• ### Circle3D

Represent a circle in 3D

• ### Circled

Put a circle around an expression

• ### 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

• ### ContrapedalCurve

Compute the contrapedal curve

• ### Cos2PiOverFermatPrime

Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss

• ### CosDegree

Compute the cosine of an angle given in degrees

• ### CotDegree

Compute the cotangent of an angle given in degrees

• ### CscDegree

Compute the cosecant of an angle given in degrees

• ### DarbouxVector

Compute the Darboux vector field of a curve

• ### Disk3D

Create a BSplineSurface primitive representing a disk

• ### EllipsoidProbability

Find the cumulative probability within the specified elliptic domain

• ### EllipsoidQuantile

Find ellipsoidal location statistics

• ### EllipsoidQuartiles

Find the ellipsoidal loci of the quartiles of matrix

• ### EulerLinePoints

Get the four main points of the Euler line of a triangle

• ### EvoluteCurve

Compute the evolute of a curve

Install or update the finite element FEMAddOns paclet

• ### FerrersDiagram

Display the Ferrers diagram of a partition with dots

• ### FindExtraordinaryLines

Return the lines of three or more points, given a set of points

• ### FractionalDPolynomialRoots

Compute and visualize the roots of fractional (noninteger) derivatives of polynomials

• ### FullBSplineCurve

Modify a BSplineCurve object to have explicit settings for certain options

• ### GaussianCurvature

Compute the Gaussian curvature of a surface

• ### GeodesicSphereGraph

Create a graph of an order-n geodesic sphere

• ### Graphics3DSketch

Convert an ordinary Graphics3D object to a sketch-styled raster image

• ### HeronFormula

Compute the area of a triangle from the edge lengths

• ### HexagonalGridGraph

Generate a graph corresponding to a hexagonal grid

• ### HexagonalSpiralPoints

Get the coordinates of the points on a hexagonal spiral

• ### HexagonalTorusGraph

Return a skew graph on a torus with a given number of hexagonal cells

• ### ImageKaleidoscope

Create a kaleidoscope version of an image

• ### InversionCurve

Compute the inversion of a curve

• ### InvoluteCurve

Compute the involute of a curve

• ### LatticePointsArrangement

Gives lattice points in a variety of arrangements

• ### MeanCurvature

Compute the mean curvature of a surface

• ### ModularTessellation

Computes polygons, circles, compositions, and transformation functions for the tessellation of the upper half-plane by the modular group.

• ### Monge

Return the Monge point and six midplanes of a tetrahedron

• ### NegativePedalCurve

Compute the negative pedal curve

• ### NonConvexHullMesh

Generate a mesh geometry from points without including exterior concave perimeter areas or holes

• ### Orthocenter

Return the orthocenter of a triangle

• ### OsculatingCircle

Get the osculating circle of a curve

• ### ParallelCurve

Compute parallel (offset) curves

• ### ParallelSurface

Compute the parallel surface of a surface

• ### PedalCurve

Compute the pedal of a curve

• ### PhaseUnwrap

Remove phase jumps from phase angle data

• ### PlotVector3D

Plot a list of vectors in space

• ### PointsToRules

Convert a list of points into a list of substitution rules

• ### Polyomino

Give all the polyominoes of a specified rank

Plot a quadric surface, automatically determining the regions of interest, view direction and scaling

Classify and plot any polynomial of degree two or less in three or fewer variables

Compute the radial curve of a given curve

• ### RandomBSplineSurface

Generate a random surface with B-splines

• ### RandomMandala

Make random mandala plots

• ### RealEuclideanDistance

Get the Euclidean distance between two real vectors without using absolute value

• ### ReferenceAngle

Compute the reference angle to a given input angle

• ### ReferenceAngleDegree

Compute the reference angle to a given input angle using degrees

• ### ReflectPoints

Reflect a set of points using a line or plane defined by two or three points

• ### RegionInputField

User interface for drawing 2D mesh regions

• ### RollingCurve

Compute a rolling curve

• ### SecDegree

Computes the secant of an angle given in degrees

• ### ShortestTourArt3D

Display a 3D model using a continuous line

• ### SignedVectorAngle

A version of VectorAngle for 2D vectors that can return negative angles

• ### SimplexBoundary

Find the topological boundary of a simplex or simplicial complex

• ### SimplexMeasure

Get the measure of a simplex or simplicial complex

• ### SimplexOrientation

Get the orientation of a simplex

• ### SinDegree

Compute the sine of an angle given in degrees

• ### SmootherStep

An improved sigmoidal interpolation function

• ### SpinShow

Create a dynamically rotating Graphics3D object

• ### SplineCircle

Generate a BSplineCurve primitive representing a circle

• ### SqrtSpace

Move back and forth from the squared space or square root space of an algebraic number field

• ### 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

• ### SupplementaryAngle

Compute the geometric supplement to a given angle

• ### SupplementaryAngleDegree

Compute the geometric supplement to a given angle using degrees

• ### TanDegree

Compute the tangent of an angle given in degrees

• ### TangentDevelopableSurface

Compute the tangent developable surface of a curve

• ### TangentLine

Compute properties of the tangent line to a curve at a given point

• ### TangentPlane

Find the tangent plane of a function at a point

• ### TessellationPlot

Generate a tessellation of the plane with specified cell shapes

• ### Tetartoid

Get a tetartoid given three values

• ### TetrahedronEdgeAngles

Given edgelengths of a tetrahedron, return the dihedral angles opposite those edges

• ### TexturizePolygons

Make 2D and 3D graphics with specified polygons and corresponding textures

• ### Trapezoid

Create quadrilateral polygon with two parallel sides

• ### Triangle3DTo2D

Given a 3D triangle, return an equivalent 2D triangle along with a rotation matrix and offset vector

• ### 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

• ### TurningNumber

Compute the turning number of a curve