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Plane Curves

Ellipse

Parabola

Hyperbola

Cardioid

Catenoid

Cissoid

Clothoid

Cycloid

Folium

Lemniscate

Limaçon

Lissajous

Logarithmic Spiral

Tractrix

Nephroid

Nephroid of Freeth

Cubic Polynomial Graph

Cuspidal Cubic

Cubic Polynomial Graph I

Cubic Polynomial Graph II

Elliptic Cubic

Nodal Cubic

Tacnodal Cubic

(y^2 - x^3)^2 - (x^5)y = ff

User (Parametric-Cart)...

User (Parametric-Polar)...

User (Implicit)...

User (Curvature)...


Space Curves

Helix

Viviani (Parametric)

Torus Knot

Cinquefoil Knot

Trefoil Knot

Figure Eight Knot

Granny Knot

Square Knot

Lissajous Space Curve

Two Cylinders

Viviani (Implicit)

Hopf Fiber

Hopf Fibration

User (Parametric-Cart)...

User (Parametric-Polar)...

User (Parametric-Cylind)...

User (Implicit)...

User (Curvature & Torsion)...


 

Surfaces

Plane and Cone

 

Paraboloid

 

Ellipsoid

 

Hyperboloid-1 sheet

 

Hyperboloid-2 sheet

 

Monkey-Saddle

 

Lissajous Surface

Whitney Umbrella

 

Right Conoid

 

K=1 Surface of Revolution

 

Non-Orientable

Moebius Strip

Klein Bottle

Steiner Surface

Cross-Cap

Boy's Surface (Apéry)

Boy's Surface (Bryant-Kusner)

Ribacour of Cylinder 1

Ribacour of Cylinder 1a

Ribacour of Cylinder 1b

Ribacour of Cylinder 2

Torus

 

Cyclide

 

Clifford Torus

 

Clifford-Hopf Torus

 

Pinkall Tori

 

Morin Eversion Midpoint

 

Double Helix

 

Pseudospherical

 

 

Dini Surface

 

Kuen Surface

 

Breather (Parametric)

 

Pseudosphere

 

One-Soliton

 

Two-Soliton

 

Three-Soliton

 

Four-Soliton

 

Kink

 

Breather

Minimal Surfaces

 

 

Enneper Surface

 

Scherk Surface

 

Henneberg Surface

 

Catalan Surface

 

Helicoid-Catenoid

 

Inverted Boy's Surface

 

Kusner (Dihedral Symmetric)

 

Lopez-Ross No Go Thm

 

Wavy Enneper

 

Catenoid-Enneper

 

Planar-Enneper

 

Double Enneper

 

Saddle Tower

Twisted Scherk

 

Symmetric 4Noid

 

Skew 4Noid

 

Karcher JD Saddle Tower

 

Karcher JE Saddle Tower

 

Riemann

 

Chen Gackstatter

 

Costa

 

Costa-Hoffman-Meeks

 

Catenoid Fence

 

Schoen No Go Thm

 

Scherk w Handle

 

Schwarz PD Family

 

Gyroid

 

Schwarz H Family

 

Lidinoid

Anand-Ward Solitons

 

 

From Maple

 

From 2x2 Monad

 

From 3x3 Monad

 

From 4x4 Monad

User Defined (Cartesian)...

 

User Defined (Polar)...

 

User Defined (Cylindrical)...

 

User Defined (Rotation)...

 

User Defined (Column)...


Conformal Maps

Precompose with

Postcompose with

z ---> z^2

z ---> e^(aa z)

z ---> 1/z

z ---> z + 1/z

z ---> aa z^ee + ee z

z ---> (az+b)/(cz+d)

z ---> (z + cc)/(1 + conj(cc) z)

z ---> log(z)

z ---> sin(z)

z ---> i tan(i z/2)

z ---> sqrt(z)

z ---> sn(z,m)

z ---> conj(z) + aa z^2

Elliptic Function

     JD

     JE

     JF

      WP

Rectangular Torus

Rhombic Torus

Parallelogram Torus

User Defined Conformal Map...


Polyhedra

Tetrahedron

Hexahedron

Octahedron

Dodecahedron

Icosahedron

Rhombohedron

Rhombic Dodecahedron

Tile it by Rhombohedrons

Buckyball

Cuboctahedron

Icosidodecahedron

Rhombohedral Tiling


ODE(1D)-1st Order

 

Logistic

Mass Action

User Defined(1D)1stOrder...


ODE(1D)-2nd Order

Harmonic Oscillator

Pendulum

Forced Oscillator

User Defined(1D)2ndOrder...


ODE(2D)-1st Order

Harmonic Oscillator

Pendulum

Linear

Volterra Lotka

Van der Pol

User Defined(2D)1stOrder...


ODE(2D)-2nd Order

Coupled Oscillator

Forced Oscillator

Foucault Pendulum

User Defined(2D)2ndOrder...


ODE(3D)-1st Order

Linear

Lorenz

Rikitake

Rössler

User Defined(3D)1stOrder...


ODE(3D)-2nd Order

Coupled Oscillators

 

Forced Oscillators

 

Charged Particle

 

 

Constant Magnetic Field

 

Current in Straight Wire

 

Magnetic Dipole

 

User Magnetic Field...

User Defined(3D)2ndOrder...

 


Central Forces

Coulomb

Power Law

Yukawa

Hooke's Law

Higg's

User Central Force...


 

Lattice Models

Fermi-Pasta-Ulam

Toda

Discrete Sine-Gordon

Tacoma Narrows Bridge

Discrete Klein-Gordon

User Lattice Model...


 

Waves

KDV Travelling Wave

 

KDV Two-Soliton

 

KDV IVP

 

 

Gaussian

 

aa-Soliton

 

Two 1-Solitons

 

Zabusky-Kruskal

 

User KDV Wave-Form...

Sine-Gordon Travelling Wave

 

Sine-Gordon Two-Soliton

 

Sine-Gordon Three-Soliton

 

Sine-Gordon Four-Soliton

 

Sine-Gordon Kink

 

Sine-Gordon Breather

 

Cubic Schroedinger Travelling Wave

 

Cubic Schroedinger Single Breather

 

Cubic Schroedinger Double Breather

 

Cubic Schroedinger Two Soliton

 

NLS IVP

 

Circularize

Gaussian

 

1-Soliton

 

2-Soliton

 

2-Soliton Breather

 

Semi-Classical Limit

 

User Wave-Form...

Inviscid Burgers Equations

Wave Group and Envelope

 

User Wave-Form...

 


 


Documentation Table Of Contents.
Documentation Index.