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Open source software demonstrations
The Wolfram Demonstrations Project is an open-source collection of interactive programmes called Demonstrations. It is hosted by Wolfram Research. At its
Wolfram Demonstrations Project
Wolfram_Demonstrations_Project
Topics referred to by the same term
principles Wolfram Demonstrations Project, a repository of computer based educational demonstrations Demonstration (Landon Pigg album), 2002 Demonstration (Tinie
Demonstration
American multinational company
articles and link rot. The Wolfram Demonstrations Project is a collaborative site hosting interactive technical demonstrations powered by a free Mathematica
Wolfram_Research
Self-similar curve related to golden ratio
"Golden Spiral Archived 2019-07-28 at the Wayback Machine", The Wolfram Demonstrations Project. Madden, Charles B. (2005) [1999]. Fib and Phi in Music: The
Golden_spiral
Numeral system
the Wayback Machine Babylonian Numerals by Michael Schreiber, Wolfram Demonstrations Project. Weisstein, Eric W. "Sexagesimal". MathWorld. CESCNC – a handy
Babylonian_cuneiform_numerals
Problem in recreational mathematics
Nonlinear Pricing: Theory and Applications. John Wiley & Sons, Feb 22, 1999. p. 55. "Fitting an Elephant" at the Wolfram Demonstrations Project site
Von_Neumann's_elephant
Creation of visible patterns on a vibrated plate
(Thesis). doi:10.1017/S0013091515000139. "Chladni Figures - Wolfram Demonstrations Project". Wolfram. György Kepes profile at MIT "In Light of Sound study 1"
Cymatics
Surface integral of the magnetic field
issued 2003 Magnetic Flux through a Loop of Wire by Ernest Lee, Wolfram Demonstrations Project. Conversion Magnetic flux Φ in nWb per meter track width to
Magnetic_flux
Describes how neurons transmit electric signals
Garrett Neske, The Wolfram Demonstrations Project Interactive Hodgkin–Huxley model by Shimon Marom, The Wolfram Demonstrations Project ModelDB A computational
Hodgkin–Huxley_model
Spring-aided device for jumping off the ground in a standing position
Press. Archived from the original on 2013-12-02. Oscillations of a Pogo stick, Wolfram Demonstrations Project. pogostickusa.com, History of Pogo Sticks
Pogo_stick
Positional numeral system
Duda, the Wolfram Demonstrations Project "The Boundary of Periodic Iterated Function Systems" by Jarek Duda, the Wolfram Demonstrations Project "Number
Complex-base_system
Optical illusion
equal area. Bullseye illusion Wolfram MathWorld Bullseye illusion (interactive demonstration) Wolfram Demonstrations Project Bullseye optical illusion from
Bullseye_illusion
Distance along a curve
W. "Arc Length". MathWorld. Arc Length by Ed Pegg Jr., The Wolfram Demonstrations Project, 2007. Calculus Study Guide – Arc Length (Rectification) Famous
Arc_length
Computer operation which manipulates invidual bits of data
Enrique Zeleny, Wolfram Demonstrations Project. "Plots Of Compositions Of Bitwise Operations" by Enrique Zeleny, The Wolfram Demonstrations Project.
Bitwise_operation
Shortest path with bounded turning radius
by Steven M. LaValle Isochrons for a Dubins Car, a demonstration from Wolfram Demonstrations Project An open-source Python Reeds-Shepp implementation,
Dubins_path
Mechanism to convert between rotational and reciprocating motion
Advanced Studies: Scotch Yoke "Comparing Simple Crank/Slider and Scotch Yoke Mechanisms" by Fred Klingener, The Wolfram Demonstrations Project; Active demo.
Scotch_yoke
Simple machine consisting of a beam pivoted at a fixed hinge
science and engineering encyclopedia A Simple Lever by Stephen Wolfram, Wolfram Demonstrations Project. Levers: Simple Machines at EnchantedLearning.com
Lever
Fractal curve
of the Koch curve". Wolfram Alpha Site. Retrieved 23 September 2019. "Square Koch Fractal Curves". Wolfram Demonstrations Project. Retrieved 23 September
Koch_snowflake
Segment from the center of a polygon to the midpoint of one of its sides
pyramid or truncated pyramid Archived 2021-04-21 at the Wayback Machine Pegg, Ed Jr. "Sagitta, Apothem, and Chord". The Wolfram Demonstrations Project.
Apothem
Polygon with 12 edges
Dodecahedron – any polyhedron with 12 faces. Dodecagram "Wolfram Demonstrations Project". demonstrations.wolfram.com. Retrieved 2025-02-04. Willis, Clarence Addison
Dodecagon
Space curve that winds around a line
Archived 2008-04-30 at the Wayback Machine" by Sándor Kabai, Wolfram Demonstrations Project. O'Neill, B. Elementary Differential Geometry, 1961 pg 72 O'Neill
Helix
Recursive visual effect
by Jos Leys summarizing the results of the Leiden study and article) Droste Effect with Mathematica Droste Effect from Wolfram Demonstrations Project
Droste_effect
Device for measuring or maintaining orientation
2015. Kabai, Sándor (28 September 2007). "Gyroscope". Wolfram Demonstrations Project. Wolfram. Archived from the original on 30 April 2008. Tao, W.;
Gyroscope
Polyhedra in which all vertices are the same
solid". MathWorld. Archimedean Solids by Eric W. Weisstein, Wolfram Demonstrations Project. Paper models of Archimedean Solids and Catalan Solids Free
Archimedean_solid
Chemical equilibrium of a reversible reaction
K.: Cambridge University Press. ISBN 0-521-28150-4. Atkins, Section 22.4 Chemistry portal Dynamic Equilibrium Example – Wolfram Demonstrations Project
Dynamic_equilibrium
Spherical geometry analog of a straight line
Circles on Mercator's Chart by John Snyder with additional contributions by Jeff Bryant, Pratik Desai, and Carl Woll, Wolfram Demonstrations Project.
Great_circle
Curve generated by rolling a circle inside another circle with 4x or (4/3)x the radius
Forms Article on 2dcurves.com Visual Dictionary Of Special Plane Curves, Xah Lee Bars of an Astroid by Sándor Kabai, The Wolfram Demonstrations Project.
Astroid
Set of philosophical problems
" Zeno's Paradox: Achilles and the Tortoise by Jon McLoone, Wolfram Demonstrations Project. Kevin Brown on Zeno and the Paradox of Motion[link removed]
Zeno's_paradoxes
Mechanism to control a machine or process
Books 22 November 2018 Wikimedia Commons has media related to Push buttons. Spring Return Button by Sándor Kabai, The Wolfram Demonstrations Project.
Push-button
Sum of an (infinite) geometric progression
the Geometric Series". Archived from the original (Applet) on 2007-09-29. "Geometric Series" by Michael Schreiber, Wolfram Demonstrations Project, 2007.
Geometric_series
Mechanical device that stores energy
related to Coil springs. Helical Spring by Sándor Kabai at The Wolfram Demonstrations Project. Institute of Spring Technology Spring Manufacturers Institute
Coil_spring
Amount of goods and services that can be purchased with a unit of currency
discusses which would be the most appropriate for different things. Purchasing Power Calculator by Fiona Maclachlan, The Wolfram Demonstrations Project.
Purchasing_power
Three-dimensional fractal
Book Program, Boulder, CO, ISBN 978-0-8133-4153-8, MR 2049443 Wolfram Demonstrations Project, Volume and Surface Area of the Menger Sponge University of
Menger_sponge
Method for finding limits in calculus
after work by, Selwyn Hollis (Armstrong Atlantic State University), the Wolfram Demonstrations Project. Squeeze Theorem on ProofWiki. Portal: Mathematics
Squeeze_theorem
Algebraic operation on coordinate vectors
EMS Press, 2001 [1994] Explanation of dot product including with complex vectors "Dot Product" by Bruce Torrence, Wolfram Demonstrations Project, 2007.
Dot_product
Device to demonstrate Earth's rotation
"Foucault's Pendulum" by Jens-Peer Kuska with Jeff Bryant, Wolfram Demonstrations Project: a computer model of the pendulum allowing manipulation of pendulum
Foucault_pendulum
Curve traced by a point on a circle rolling within another circle
Snyder, John. "Sphere with Tunnel Brachistochrone". Wolfram Demonstrations Project. Iterative demonstration showing the brachistochrone property of Hypocycloid
Hypocycloid
Intersection of triangle altitudes
animation Animated demonstration of orthocenter construction Compass and straightedge. Fagnano's Problem by Jay Warendorff, Wolfram Demonstrations Project.
Orthocenter
Bioeconomic model applied in the fishing industry
be competitive or monopolistic. "The Gordon-Schaefer Model", Wolfram Demonstrations Project, contributed by Arne Eide. "The Gordon Schaefer Model". Rob
Gordon-Schaefer_model
Wind that faces opposite side of a plane when landing
on 12 July 2015. Retrieved 30 July 2015. E6BX Wind Components Illustrator Airplanes and Crosswinds by Bruce Miller, The Wolfram Demonstrations Project.
Crosswind
Bridge built using cantilevers
Cantilever bridges. "Cantilever Bridge" by Sándor Kabai, The Wolfram Demonstrations Project, 2007. Biggest of Finished Girders Go Traveling: six giants
Cantilever_bridge
Property of an object that is not congruent to its mirror image
Chirality Measures: General Definitions Chiral Polyhedra by Eric W. Weisstein, The Wolfram Demonstrations Project. Chiral manifold at the Manifold Atlas.
Chirality_(mathematics)
Extremes of a linear function over a convex polygonal region occur at the region's corners
Proposition B.21(c). ISBN 1-886529-14-0. "The Fundamental Theorem of Linear Programming". WOLFRAM Demonstrations Project. Retrieved 25 September 2024.
Fundamental theorem of linear programming
Fundamental_theorem_of_linear_programming
Type of viscoelastic material
Publishing. pp. 59–60. ISBN 9781895198331. Creep and Stress Relaxation for Four-Element Viscoelastic Solids and Liquids, Wolfram Demonstrations Project v t e
Burgers_material
Type of data structure algorithm
theory behind the integral image algorithm A demonstration to a continuous version of the integral image algorithm, from the Wolfram Demonstrations Project
Summed-area_table
Simple polynomial map exhibiting chaotic behavior
Wolfram Demonstrations Project. Multiplicative coupling of 2 logistic maps by C. Pellicer-Lostao and R. Lopez-Ruiz after work by Ed Pegg Jr, Wolfram Demonstrations
Logistic_map
Type of wave
16011. Specific The wave equation and wave speed "The Vibrating String" by Alain Goriely and Mark Robertson-Tessi, The Wolfram Demonstrations Project.
String_vibration
Theorem on polygon dissections
by Sándor Kabai, Ferenc Holló Szabó, and Lajos Szilassi, the Wolfram Demonstrations Project. A presentation about Hilbert's third problem at College of
Wallace–Bolyai–Gerwien theorem
Wallace–Bolyai–Gerwien_theorem
Plane curve traced by a point on a circle rolled around another circle
"Epicycloid". MathWorld. "Epicycloid" by Michael Ford, The Wolfram Demonstrations Project, 2007 O'Connor, John J.; Robertson, Edmund F., "Epicycloid"
Epicycloid
Mathematical study of illumination of rooms with mirrored walls
The first polygonal unilluminable room", on YouTube by George Tokarsky, Jul 29, 2022 An interactive demonstration, on Wolfram demonstrations project
Illumination_problem
Polyhedral number representing a tetrahedron
number of houses. Centered triangular number Simplex number "Wolfram Demonstrations Project". Baumann, Michael Heinrich (2018-12-12). "Die k-dimensionale
Tetrahedral_number
Theorem about circles
Theorem at PlanetMath The Butterfly Theorem by Jay Warendorff, the Wolfram Demonstrations Project. Weisstein, Eric W. "Butterfly Theorem". MathWorld.
Butterfly_theorem
Walks - Wolfram Demonstrations Project". WOLFRAM Demonstrations Project. Retrieved 14 June 2019. Weisstein, Eric W. "Hedgehog". mathworld.wolfram.com. "Courbe
List_of_mathematical_shapes
Plane fractal constructed from squares
Enrique Zeleny based on a program by Eric W. Weisstein, The Wolfram Demonstrations Project. Weisstein, Eric W. "Pythagoras Tree". MathWorld. Three-dimensional
Pythagoras_tree_(fractal)
Printing process
N. Damera-Venkata and B. L. Evans Halftone screens at the Wolfram Demonstrations Project Creating halftone shading with Adobe Photoshop An Easy Method
Halftone
On triangles inscribed in a circle with a diameter as an edge
Inscribed Angles Thales's theorem explained, with interactive animation Demos of Thales's theorem by Michael Schreiber, The Wolfram Demonstrations Project.
Thales's_theorem
A rigid body with 3 distinct axes of inertia is unstable rotating about the middle axis
"Free Rotation of a Rigid Body: Poinsot Constructions". wolfram.com. Wolfram Demonstrations Project. Retrieved 2025-12-28. Poinsot also proposed in 1834
Tennis_racket_theorem
Elongated mineral formation hanging down from a cave ceiling
Service)". www.nps.gov. Retrieved 5 January 2020. The Virtual Cave's page on stalactites Stalactites by Enrique Zeleny, Wolfram Demonstrations Project.
Stalactite
Algebraic expansion of powers of a binomial
Theorem by Stephen Wolfram, and "Binomial Theorem (Step-by-Step)" by Bruce Colletti and Jeff Bryant, Wolfram Demonstrations Project, 2007. This article
Binomial_theorem
Range to estimate an unknown parameter
Level, Sample Size, and Margin of Error by Eric Schulz, the Wolfram Demonstrations Project. Confidence Intervals in Public Health Archived 2016-08-09 at
Confidence_interval
Open problem on 3x+1 and x/2 functions
Collatz Problem at PlanetMath. Nochella, Jesse. "Collatz Paths". Wolfram Demonstrations Project. Eisenbud, D. (8 August 2016). Uncrackable? The Collatz conjecture
Collatz_conjecture
Order-preserving mathematical function
Monotonic Sequence by Anik Debnath and Thomas Roxlo (The Harker School), Wolfram Demonstrations Project. Weisstein, Eric W. "Monotonic Function". MathWorld.
Monotonic_function
Reduced pressure caused by a flow restriction in a tube or pipe
Springer. p. 183. ISBN 9783319089485. "The Venturi effect". Wolfram Demonstrations Project. Retrieved 2009-11-03. Herschel, Clemens. (1898). Measuring
Venturi_effect
Ancient algorithm for generating prime numbers
Interactive JavaScript Page Sieve of Eratosthenes by George Beck, Wolfram Demonstrations Project. Sieve of Eratosthenes in Haskell Sieve of Eratosthenes algorithm
Sieve_of_Eratosthenes
Allotropes of carbon with a cylindrical nanostructure
nanotubes WOLFRAM Demonstrations Project: Electronic Band Structure of a Single-Walled Carbon Nanotube by the Zone-Folding Method WOLFRAM Demonstrations Project:
Carbon_nanotube
Diagrammatic representation of Sun's position over a period of time
reference charts. Analemmas by Stephen Wolfram based on a program by Michael Trott, Wolfram Demonstrations Project. The Making of a Tutulemma by Tunç Tezel
Analemma
Non-self-intersecting curve of positive area
1007/978-1-4612-0871-6, ISBN 0-387-94265-3, MR 1299533. Dickau, Robert, Knopp's Osgood Curve Construction, Wolfram Demonstrations Project, retrieved 20 October 2013
Osgood_curve
Undirected unit-distance graph requiring four colors
(December 21, 2017), "Moser Spindles, Golomb Graphs and Root 33", Wolfram Demonstrations Project Cranston, Daniel W.; Rabern, Landon (2017), "The fractional
Golomb_graph
Movement of an object which leaves at least one point unchanged
Understanding 3D Rotation by Roger Germundsson, Wolfram Demonstrations Project. demonstrations.wolfram.com Brannon, R. M. (2018). Rotation, Reflection
Rotation
Geometric transformation that preserves lines but not angles nor the origin
Eric W. "Affine Transformation". MathWorld. Affine Transform by Bernard Vuilleumier, Wolfram Demonstrations Project. Affine Transformation with MATLAB
Affine_transformation
Mathematical procedure for reducing the variance of statistical estimators
Hamrick, Jeff. "The Method of Common Random Numbers: An Example". Wolfram Demonstrations Project. Retrieved 29 March 2016. Hammersley, J. M.; Handscomb, D. C
Variance_reduction
Statistical classifier in machine learning
doi:10.1109/72.554194. PMID 18255613. href IEEE: [1]. Sathyanarayana, Shashi (2010). "Pattern Recognition Primer II". Wolfram Demonstrations Project.
Quadratic_classifier
Continuous function on an interval takes on every value between its values at the ends
cut-the-knot Bolzano's Theorem by Julio Cesar de la Yncera, Wolfram Demonstrations Project. Weisstein, Eric W. "Intermediate Value Theorem". MathWorld
Intermediate_value_theorem
'Best' approximation of a function by a rational function of given order
Approximant", MathWorld Padé Approximants, Oleksandr Pavlyk, The Wolfram Demonstrations Project. Data Analysis BriefBook: Pade Approximation, Rudolf K. Bock
Padé_approximant
Classroom demonstration used to illustrate principles of classical mechanics
Drawings appear on page 450. Professor Greenslade's account on the Atwood Machine Atwood's Machine by Enrique Zeleny, The Wolfram Demonstrations Project
Atwood_machine
Formula in computer architecture
and Computer Sciences Corporation "Amdahl's Law" by Joel F. Klein, Wolfram Demonstrations Project (2007) Amdahl's Law in the Multicore Era (July 2008)
Amdahl's_law
Physical law relating heat loss to temperature difference
Newton's Law of Cooling by Jeff Bryant based on a program by Stephen Wolfram, Wolfram Demonstrations Project. A Heat Transfer Textbook, 5/e, free ebook.
Newton's_law_of_cooling
American mathematician (1928–2021)
Shapiro's homepage Weisstein, Eric W. "Rudin–Shapiro Sequence". MathWorld. Rudin–Shapiro Curve by Eric Rowland, The Wolfram Demonstrations Project. v t e
Harold_S._Shapiro
Curve traced by a point on a rolling circle
Curves by Sean Madsen with contributions by David von Seggern, Wolfram Demonstrations Project. Cycloid on PlanetPTC (Mathcad) A VISUAL Approach to CALCULUS
Cycloid
Formula for area of a grid polygon
has media related to Pick's theorem. Pick's Theorem by Ed Pegg, Jr., the Wolfram Demonstrations Project. Pi using Pick's Theorem by Mark Dabbs, GeoGebra
Pick's_theorem
Geometric relation between the roots of a polynomial and those of its derivative
Press. 2001 [1994]. Lucas–Gauss Theorem by Bruce Torrence, the Wolfram Demonstrations Project. Gauss-Lucas theorem - interactive illustration with polynomials
Gauss–Lucas_theorem
System of two stars orbiting each other
Bryant, Wolfram Demonstrations Project. "Mass Transfer in Binary Star Systems" by Jeff Bryant with Waylena McCully, Wolfram Demonstrations Project. Boyle
Binary_star
Compound polyhedron
Tetrahedra Compound VRML model: [1] Compounds of 5 and 10 Tetrahedra by Sándor Kabai, The Wolfram Demonstrations Project. Klitzing, Richard. "3D compound".
Compound_of_five_tetrahedra
Geometric figure which has infinite surface area but finite volume
"Gabriel's Horn". MathWorld. "Gabriel's Horn" by John Snyder, the Wolfram Demonstrations Project, 2007. Gabriel's Horn: An Understanding of a Solid with Finite
Gabriel's_horn
Nonlinear time delay differential equation
1126/science.267326. PMID 267326. "Mackey-Glass equation". Wolfram Demonstrations Project. Retrieved 10 August 2020. Kantz, H.; Schreiber, T. (2004).
Mackey–Glass_equations
NP-hard problem in combinatorial optimization
instances for the TSP at the University of Heidelberg Traveling Salesman Problem by Jon McLoone at the Wolfram Demonstrations Project TSP visualization tool
Travelling_salesman_problem
Entropy coding methods
Compression Using Asymmetric Numeral Systems - Wolfram Demonstrations Project Wolfram Demonstrations Project GST: GPU-decodable Supercompressed Textures
Asymmetric_numeral_systems
Planar movement within a Euclidean space without rotation
(Interactive Animation) at Math Is Fun Understanding 2D Translation and Understanding 3D Translation by Roger Germundsson, The Wolfram Demonstrations Project.
Translation_(geometry)
Theory regarding international relations and war
ISBN 978-1-009-74337-2 Hegemonic Zones of Influence by Michael Schreiber, The Wolfram Demonstrations Project. Power Transition Theory by CIRIS, CIRIS Learning Center.
Power_transition_theory
Lack of self-control
Wiktionary, the free dictionary. "Akrasia" by Seth J. Chandler, The Wolfram Demonstrations Project, 2007: An interactive computer model of akrasia based on Cooter
Akrasia
Mathematical function defined piecewise by polynomials
Symmetrical Spline Curves, an animation by Theodore Gray, The Wolfram Demonstrations Project, 2007. Computer Code pspline, czspline, ezspline - The current
Spline_(mathematics)
Figurate number
doi:10.1353/book.49475. ISBN 9781421417288. "Wolfram Demonstrations Project". demonstrations.wolfram.com. Retrieved 2026-07-23. Baumann, Michael Heinrich
Triangular_number
Device for binding the edges of an opening of fabric or other flexible material
related to Zippers. How Zippers Work by S. M. Blinder, the Wolfram Demonstrations Project The History of the Zipper Archived 28 April 2020 at the Wayback
Zipper
Eigenvalue problem for the Laplace operator
2001 [1994] Vibrating Circular Membrane by Sam Blake, The Wolfram Demonstrations Project. Green's functions for the wave, Helmholtz and Poisson equations
Helmholtz_equation
Mapping from a Euclidean space to itself
Reflection in Line at cut-the-knot Understanding 2D Reflection and Understanding 3D Reflection by Roger Germundsson, The Wolfram Demonstrations Project.
Reflection_(mathematics)
Discrete probability distribution
Approximation to a Hypergeometric Random Variable by Chris Boucher, Wolfram Demonstrations Project. Weisstein, Eric W. "Hypergeometric Distribution". MathWorld
Hypergeometric_distribution
Formula for refraction angles
a Lossy Medium, [1] Archived 2020-07-30 at the Wayback Machine Snell's Law of Refraction (Wave Fronts) by Todd Rowland, Wolfram Demonstrations Project
Snell's_law
Theorem on equilateral triangles
at Cut the knot. Warendorff, Jay. "Viviani's Theorem". the Wolfram Demonstrations Project. "Distances in an Equilateral Triangle (Viviani's theorem)"
Viviani's_theorem
Economic principle
February 29, 2008. Revenue and Elasticity and Elasticity, Total Revenue, and the Linear Demand Curve by Fiona Maclachlan, Wolfram Demonstrations Project.
Elasticity_(economics)
Universal reversible logic gate, applied in quantum computing
10288. Bibcode:2022NatPh..18..783K. doi:10.1038/s41567-022-01590-3. CNOT and Toffoli Gates in Multi-Qubit Setting at the Wolfram Demonstrations Project.
Toffoli_gate
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