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The Archimedean solids are the 13 polyhedra that are convex, have identical vertices, and their faces are regular. They don't include the Platonic solids, which have identical faces. All 13 can be listed in Mathematica with the expression…
Four separate .stl files of platonic solids. In order to size them to be typical beads for stringing, ~10 mm, scale them as follows. Cube 40% Octahedron 50% Icosahedron 30% Dodecahadron 20% A .3mf file and a .gcode file for the Mini/Mini+…
This project was created in Mathematica. It's trivial to create the STL file. Just evaluate these two lines of code (which can be done in one line a bit cryptically to someone who doesn't know Mathematica). Here it is: image =…
On 1 January 2024, the Mickey Mouse image that includes “Steamboat Willie” entered Public Domain in the United States. This is a lithophane of Mickey as Steamboat WIllie.
This is a model of a stature of St. Jude, patron saint of hopeless cases. We have ~1 meter statue in our yard. This was created by AI from a series of photos.
I was at my local garden shop and saw this gargoyle. I created the model from AI based on its photo. The price tag in the photo of the original appears in the model, but is easily removed.
One of the fundamental ways in which the recently discovered “einstein” tiles can be shown to tile aperiodically is by combining them into blocks, one of which is an H-block. Printing these makes tiling a bit easier. This model allows for…
One of a series of surfaces that can be use for matching with equations in a multivariable calculus class. This one is z=sin(x)+cos(y) for. x and y both the interval from -pi to pi. The model was created with the Mathematica code…
This model consists of three “meta-tiles” constructed from einstein hat tiles. The four are described below. Three fundamental results relating to Einstein tiles are: They do indeed tile the plane. They tile aperiodically, and They do not…
As an American, I don't think we should own Greenland. Annexing it is a bad idea. This model is my small contribution to spreading this opinion. The model was created using the following Mathematica code and then I added the text using my…
This model demonstrates a proof 1^3 +2^3 + … +n^3 is the square of the sum 1+2+…+n = n(n+1)/2 for the case of n=4. Four copies of a tile representing 1^3+2^3+3^+4^3 form a square with side 4*5. I first found this idea in “Math Made…
A Cayley table is a table that defines a binary operation on a set. Normally the entries are filled with numbers or other symbols, but here the entries are colors. With seven colors and six color changes you can fill the entries with…
A Cayley table is a table that defines a binary operation on a set. Normally the entries are filled with numbers or other symbols, but here the entries are colors. With seven colors and six color changes you can fill the entries with…
In geometry , the triakis truncated tetrahedron is a convex polyhedron made from 4 hexagons and 12 isosceles triangles . It can be used to tessellate three-dimensional space, making the triakis truncated tetrahedral honeycomb . [1] [2]…
I created a key fob for my OER discrete math text, Applied Discrete Structures. The 3D text was created with an Oculus VR headset and the Gravity Sketch app. The logo was created with Mathematica.
From Wolfram Mathworld: https://mathworld.wolfram.com/Conway-GuyPolyhedron.html The Conway-Guy polyhedron is the name given by Domokos and Kovács (2023) to the 19-face 34-vertex polyhedral solid independently found by Guy (1968; Conway et…
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