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RSS Feed for Wolfram Community showing any discussions tagged with Demonstrations sorted by active.Progress in the no-three-in-line-problem
https://community.wolfram.com/groups/-/m/t/3714366
![Progress in the no-three-in-line-problem][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=693022037_35804801055800585_4027629096720536130_n.jpg&userId=20103
[2]: https://www.wolframcloud.com/obj/7a439e86-9be9-457a-94b2-d58c415fb284Ed Pegg2026-05-11T15:13:27ZMathematical Games: space groups and filling space
https://community.wolfram.com/groups/-/m/t/3690751
![Mathematical Games: space groups and filling space][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=SpaceGroupsandFillingSpace.png&userId=20103
[2]: https://www.wolframcloud.com/obj/fb4a4c54-b4d7-4f9b-a93a-21427316f9c5Ed Pegg2026-04-16T15:57:25ZMathematical Games: Pi, circles and spheres
https://community.wolfram.com/groups/-/m/t/3666213
![Mathematical Games: Pi, circles and spheres][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=MathematicalGamesPi,circlesandspheres.png&userId=20103
[2]: https://www.wolframcloud.com/obj/90f9ed0a-61b0-485f-b82a-688f903e0ea9Ed Pegg2026-03-19T12:34:04ZMathematical Games 37: Two Phi Psi Chi Rho (2 φ ψ χ ρ)
https://community.wolfram.com/groups/-/m/t/3622456
![Mathematical Games 37: Two Phi Psi Chi Rho (2 φ ψ χ ρ)][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=MathematicalGames37TwoPhiPsiChiRho2%CF%86%CF%88%CF%87%CF%81.png&userId=20103
[2]: https://www.wolframcloud.com/obj/7c4c0ff2-3911-4c19-b956-a776fafc4040Ed Pegg2026-01-22T16:59:42ZNon-spherical geodesic structures after the style of R. Buckminster Fuller
https://community.wolfram.com/groups/-/m/t/3599683
At: The Wolfram Demonstration Project Stewart Dickson (2022), "Non-Spherical Geodesic Structures"
https://demonstrations.wolfram.com/NonSphericalGeodesicStructures/
In a 1991 Graphics Gallery of the Mathematica Journal,
S. Dickson, Graphics Gallery: "Many-Handled Surfaces," The Mathematica Journal, 1(4), 1991 pp. 51–58.
we demonstrated a system for building "Many-Handled Surfaces" modeled after chemical molecular bonding geometry extending techniques developed by Richard Buckminster Fuller. The Wolfram Demonstration is an interactive version which assembles structures of triangulated surface patches along backbones of tetrahedral or octahedral lattice topologies.
The construction method is modular such that the construction components can be "thickened" and composed for 3D printing. Stewart Dickson (2011), "Thickening a Polygon Mesh for Rapid Prototyping (3D Printing)" Wolfram Demonstrations Project. https://demonstrations.wolfram.com/ThickeningAPolygonMeshForRapidPrototyping3DPrinting/
I think that this naturally draws one to imagine constructing these objects at architectural scale.Stewart Dickson2026-01-01T21:10:35ZOperation of a stripping column: McCabe-Thiele graphical construction
https://community.wolfram.com/groups/-/m/t/3598139
&[Wolfram Notebook][1]
[1]: https://www.wolframcloud.com/obj/00d2d722-05c3-4854-b56d-2bfb6067a792Housam Binous2025-12-28T08:56:40ZPastry math: calculating layers in laminated dough
https://community.wolfram.com/groups/-/m/t/3595159
&[Wolfram Notebook][1]
[1]: https://www.wolframcloud.com/obj/7822c6ef-283d-4340-9480-20734acc38c0Gay Wilson2025-12-22T23:22:52ZMathematical Games: Fractals Part 2 - applications, complex sets, and substitution rules
https://community.wolfram.com/groups/-/m/t/3578703
![Mathematical Games: Fractals Part 2 - applications, complex sets, and substitution rules][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=MathematicalGamesFractalsPart2-applications,complexsets,andsubstitutionrules.png&userId=20103
[2]: https://www.wolframcloud.com/obj/17a7cd36-d31f-4ac7-89dc-489e8f3ea4edEd Pegg2025-11-20T17:52:07ZMathematical Games: Fractals Part 1 - applications, complex sets, and substitution rules
https://community.wolfram.com/groups/-/m/t/3578446
![Mathematical Games: Fractals Part 1 - applications, complex sets, and substitution rules][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=MathematicalGamesFractalsPart1-applications,complexsets,andsubstitutionrules.png&userId=20103
[2]: https://www.wolframcloud.com/obj/106f05f0-cdf6-4825-ae8c-44214863b200Ed Pegg2025-11-20T17:11:47ZMathematical Games: number Seven across maths - graphs, geometry, designs, knots, and units
https://community.wolfram.com/groups/-/m/t/3564738
![Mathematical Games: number seven across maths - graphs, geometry, designs, knots, and units][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=MGSeven.png&userId=20103
[2]: https://www.wolframcloud.com/obj/b4b56c51-f57d-4dd2-a162-1d69d46462d7Ed Pegg2025-10-24T15:20:53ZOn static, dynamic and stochastic kinetic models of peaking microbial growth in a closed habitat
https://community.wolfram.com/groups/-/m/t/3560438
![On Static, Dynamic and Stochastic Kinetic Models of Peaking Microbial Growth in a Closed or Resources-limited Habitat][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=GraphicalAbstract.png&userId=20103
[2]: https://www.wolframcloud.com/obj/d2432ebf-7735-43dd-9c0d-db703c99e536Micha Peleg2025-10-14T20:07:20ZIn Memory of Michael Trott (1959-2025): Scientist, Mentor, Friend
https://community.wolfram.com/groups/-/m/t/3481794
![enter image description here][1]
Michael Trott was more than a brilliant scientist, he was a mentor, a friend, and a truly unique human being. For those of us lucky enough to work closely with him, his absence leaves a deep void. He brought an irreplaceable blend of curiosity, creativity, and humility to everything he did. Our long meetings, where we'd dive into unconventional ideas in physics and find ways to implement them in Mathematica, often stretched past hours, but no one ever minded. With Michael, even the most abstract idea could spark a new direction, a novel prototype, or an unexplored corner of science.
He didn't just think outside the box, he rebuilt it entirely, quietly and kindly. His codes weren't always optimized for performance, but they were original and beautiful. I have never seen anyone so professional in prototyping novel ideas computationally; and this was our joint passion for Mathematica, as we believed it is one of the best tool, if not the best, for this purpose. One can find a few examples of Michael's style of thinking in the [Wolfram Blog][2], [Wolfram Demonstration Project][3], or [Wolfram Community][4]. He was also the author of four seminal books: "[The Mathematica GuideBooks][5]" (four volumes).
He had a deep grasp of the history and architecture of Mathematica, with a passion for physics, especially quantum theory, and a genius for applying technology in unexpected ways. Michael Trott joined Wolfram Research in 1994 and was a cornerstone of the company for over 30 years. As Chief Scientist of Wolfram|Alpha, his fingerprints are on thousands of algorithms and innovations, from computational art to physical constants, from parsing human input to building bridges between theoretical physics and computation. The [Wolfram Quantum Framework][6], as a small example, would not have been possible without his support and contributions.
Michael was encyclopedic in knowledge, yet endearingly humble. He read hundreds of papers, built massive daily digests on LLMs, mentored researchers across physics, math, and engineering; and still worried whether he had anything "original" to offer before a scheduled talk at the University of Vienna (see the material he'd prepared for this talk from [this link][7]; we even had a dry-run together, to discuss the content repeatedly). His presence was magnetic. He showed up early to Zoom calls (Wolfram Research has many remote employees, including myself, even before COVID pandemic) and sparked thoughtful conversation before meetings began. He didn't just build things but he shared them generously. He brought humanity to everything he touched. Whether discussing quantum fields or life under East Germany's Stasi, he made space for your story too. He helped others grow, quietly and consistently, always leading by example.
Toward the end, we spoke about the multiverse; you were certain we'd meet again. In those final days, lying in your hospital bed, we found ourselves deep in conversation about the quantum-to-classical transition and nonlinearities. Thank you, Michael, for everything. You showed so many of us what it truly means to be both a scientist and a human being.
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Screenshot2025-06-18at9.36.32%E2%80%AFPM.png&userId=1539902
[2]: https://blog.wolfram.com/author/michael-trott/
[3]: https://demonstrations.wolfram.com/authors/michael-trott
[4]: https://community.wolfram.com/web/mtrott
[5]: https://www.amazon.com/stores/author/B001ITTUVM/allbooks
[6]: https://resources.wolframcloud.com/PacletRepository/resources/Wolfram/%5C%20QuantumFramework/
[7]: https://amoeba.wolfram.com/index.php/s/Jbrt4q6cYTN7rC7Mohammad Bahrami2025-06-19T04:38:05ZMathematical Games: knots and crossing numbers
https://community.wolfram.com/groups/-/m/t/3547082
![Mathematical Games: knots and crossing numbers][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=knotsandcrossingnumbers.png&userId=20103
[2]: https://www.wolframcloud.com/obj/b90bad84-7a5b-434c-892b-b763d6c25549Ed Pegg2025-09-18T18:52:47ZHappy Pythagorean Day 3^2 + 4^2 = 5^2
https://community.wolfram.com/groups/-/m/t/3546201
![Happy Pythagorean Day 3^2 + 4^2 = 5^2][1]
9/16/25
$3^2 / 4^2 / 5^2$
$3^2 + 4^2 = 5^2$
Today's date is a [Pythagorean triple][2], a very rare event.
We have many [Pythagorean Demonstrations][3].
Below is a standard image ... as a puzzle, divide it into 56 identical triangles.
s = {{3, 4, 5}, {6, 8, 10}, {5, 12, 13}, {9, 12, 15}, {8, 15,
17}, {12, 16, 20}, {7, 24, 25}, {15, 20, 25}, {10, 24, 26}, {20,
21, 29}};
makeSquares[{xval_, yval_}, col_, bound_] := {Thickness[.001], col,
EdgeForm[{Thickness[.001], Black}],
Rectangle[{0, 0} + {xval, yval}, {bound, bound} + {xval, yval}],
Black, Table[
Line[{{i, 0} + {xval, yval}, {i, bound} + {xval, yval}}], {i, 1,
bound - 1}],
Table[Line[{{0, i} + {xval, yval}, {bound, i} + {xval, yval}}], {i,
1, bound - 1}]};
Manipulate[
Graphics[{Blend[{RGBColor[.12, .61, .78], RGBColor[.67, .75, .15]}],
Polygon[{{0, 0}, {s[[a, 2]], 0}, {s[[a, 2]], s[[a, 1]]}, {0, 0}}],
makeSquares[{0, -s[[a, 2]]}, RGBColor[.67, .75, .15], s[[a, 2]]],
makeSquares[{s[[a, 2]], 0}, RGBColor[.12, .61, .78], s[[a, 1]]],
Rotate[{Thickness[.001], EdgeForm[{Thickness[.001], Black}],
makeSquares[{0, 0}, RGBColor[.67, .75, .15], s[[a, 3]]],
makeSquares[{0, 0}, RGBColor[.12, .61, .78], s[[a, 1]]]},
ArcTan[s[[a, 1]]/s[[a, 2]]], {0, 0}]}, ImageSize -> {400, 400},
PlotLabel ->
Grid[{{""}, {Style[
Row[{Superscript[s[[a, 1]], 2], " + ",
Superscript[s[[a, 2]], 2], " = ", Superscript[s[[a, 3]], 2]}],
Bold]}}]], {{a, 1, "triple"}, 1, Length[s], 1},
SaveDefinitions -> True]
![enter image description here][4]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Pythag.png&userId=20103
[2]: https://mathworld.wolfram.com/PythagoreanTriple.html
[3]: https://demonstrations.wolfram.com/search?query=pythagorean
[4]: https://community.wolfram.com//c/portal/getImageAttachment?filename=pythag.jpg&userId=21530Ed Pegg2025-09-16T12:52:29ZMathematical Games: unit-distance graphs
https://community.wolfram.com/groups/-/m/t/3534092
![Mathematical Games: unit-distance graphs][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Main21082025.png&userId=20103
[2]: https://www.wolframcloud.com/obj/db560505-d5d4-403d-8397-8ead3be5be13Ed Pegg2025-08-21T16:01:41ZKepler problem with magnetic dipole, or spinning object like in Mercury precession
https://community.wolfram.com/groups/-/m/t/3522853
![Kepler problem with spinning object or dipole][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=kepler.gif&userId=20103
[2]: https://www.wolframcloud.com/obj/65d15584-d656-4c46-b227-f219a4cc771aJarek Duda2025-08-01T15:59:07ZMathematical Games: covering sets
https://community.wolfram.com/groups/-/m/t/3518190
![Mathematical Games: covering sets][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Main24072025.png&userId=20103
[2]: https://www.wolframcloud.com/obj/c3ff3bf5-d207-4594-aed5-9700effa46baEd Pegg2025-07-24T09:23:12ZMathematical Games 30: Measuring the Universe
https://community.wolfram.com/groups/-/m/t/3486408
![Mathematical Games 30: Measuring the Universe][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Main26062025.png&userId=20103
[2]: https://www.wolframcloud.com/obj/f28477d2-f459-49e3-86a8-71ca327e532cEd Pegg2025-06-26T15:29:26ZMathematical Games: polygons and polynomials
https://community.wolfram.com/groups/-/m/t/3466084
![Mathematical Games: polygons and polynomials][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=2496Main22052025.png&userId=20103
[2]: https://www.wolframcloud.com/obj/66cf1bd4-db69-4a9d-8c54-8e288aa4facaEd Pegg2025-05-22T16:12:07ZA spiral bicycle track that can be made by a unicycle
https://community.wolfram.com/groups/-/m/t/3461376
![A spiral curve that can be traced by both wheels of a bicycle, with error less than 1 part in ten million.][1]
&[Wolfram Notebook][2]
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Spiral_Bicycle_Track3.gif&userId=20103
[2]: https://www.wolframcloud.com/obj/d724ebb9-7d80-4a21-b39b-f82be938acbfStan Wagon2025-05-15T14:31:26Z