Wolfram Mathematica Spikey 3d models

... rubber bands Starting with the Cube, Build a Big Octahedron 1. Six bottles and six bottom adapters 2. Twelve rubber bands References 1. https://en.wikipedia.org/wiki/Platonic_solid 2. http://demonstrations.wolfram.com/DualsOfPlatonicSolids/

Customizable Lattice of Space-Filling Polyhedra AKA Space-Filling Tessellation AKA Honeycomb (see https://mathworld.wolfram.com/Space-FillingPolyhedron.html and https://en.wikipedia.org/wiki/Convex_uniform_honeycomb) Similar to: - Christmas Something...

You can learn more about these mathematical tiles at mathworld.wolfram.com/PenroseTiles.html. Rep-tiles are shapes that can be combined to form larger versions of themselves, making them ideal for beach art since they can always be scaled up...

... with the Cube, Build a Big Octahedron 1. Six bottles and six bottom adapters are required. 2. Twelve rubber bands are necessary. References 1. https://en.wikipedia.org/wiki/Platonic_solid 2. http://demonstrations.wolfram.com/DualsOfPlatonicSolids/

Check out this link for more information: http://mathworld.wolfram.com/PiriformCurve.html. The ornaments can be printed without support and require minimal material, making them an ideal project for hobbyists. Here's a sample OpenSCAD code that you...

Learn about Sierpinski's work on Wikipedia or Wolfram Math. A helpful article is available at http://hmf.enseeiht.fr/travaux/CD9900/travaux/optmfn/hi/00pa/mfn03/champeau.htm, which explains how the Chaos Game generates Sierpinski triangles. The code...

For more information on the Reuleaux Triangle, including an animated illustration of its path, visit http://en.wikipedia.org/wiki/Reuleaux_triangle or http://mathworld.wolfram.com/ReuleauxTriangle.html. To create this unique design, cut the triangle...

Mathematica Code: b = .1998; Timing[soln = NDSolve[{\nx'[t] == Sin[y[t]] - bx[t], \y'[t] == Sin[z[t]] - by[t], \z'[t] == Sin[x[t]] - b*z[t], \x[0] == z[0] == 1, \y[0] == 0\n}, {x, y, z}, {t, 0, 400}, MaxSteps -> Infinity]]; plot = ParametricPlot3D[...

Mathematica makes generating these sets very easy with commands like MandelbrotSetPlot and JuliaSetPlot. Something worth explaining is the coloring of the 2D graph. As you can see in my Mathematica image above, there is a chart to the right of the...

As Sugihara himself described it, "The objects themselves have meaningless shapes, but if they are placed on a horizontally oriented mirror, meaningful shapes appear." Using the power of Mathematica, I began creating my version of this intriguing...

It was designed using Mathematica, MeshLab, and TopMod software and 3D printed on an Afinia H-Series with Borosilicate Glass and BuildTak platform surface. The creation process was documented on MakerHome Day 203...

The scale corresponds directly to Amanda's Mathematica measurements. Her thesis on this topic is available at http://www.amandaghassaei.com/mechanical_walking_machine.html. This model serves as a proof of concept, although it does not yet walk...

The thirteen Catlan solids' wireframe models were fashioned using Mathematica, MeshLab, and TopMod. Print them for an impressive mathematical touch or to exhibit your printer's capabilities! These designs were printed on a MakerBot Replicator 2,...

On MakerHome Day 121 (http://makerhome.blogspot.com/2013/12/day-121-menger-coaster-set-part-1.html) and Day 122 (http://makerhome.blogspot.com/2013/12/day-122-menger-coaster-set-part-2.html), eight unique coasters were presented, each a part of a...

Mathematician Jason Cantarella's data was converted into a format suitable for 3D printing using Mathematica software. The resulting knots can be utilized in various applications like jewelry, game tokens, swag or for mathematical purposes. These...

... is its wave-like base inspired by the mathematical function "Cos[x] + 1 / (x^2/60 + 1)" for x, -7/Pi, 7 / Pi. Creation of this model involved using Mathematica for curve plotting and exporting to DXF format, followed by further work in Bonzai3D.

Design notes: * The surface was created with Mathematica using the code Plot3D[.1(x^2-x^2),{x,-5,5},{y,-5,5}, PlotPoints->40, PlotTheme->"ThickSurface"], then exported to STL. * The STL was restricted to a circular domain, cut in half, and oriented...

Generated using Mathematica, this surface was brought to life, its supports crafted in openSCAD with code provided for both. The STL files were meticulously merged in MeshLab, resulting in a cohesive and intricate final product. This creation was...

I quickly searched Cults3D and Thingiverse, but couldn't find what I wanted, so I opened Mathematica and whipped up a ParametricPlot3D of a circular cylinder in no time. Exporting it as an STL file took even less time than waiting for Thingiverse to...

Setting this as our initial condition and imposing a Dirichlet boundary condition, we then simulated the wave equation PDE in Mathematica and sampled at several time points to capture the different mold shapes. Now, let's dive into interpreting...

 They don't include the Platonic solids, which have identical faces.All 13 can be listed in Mathematica with the expression In[1]:=PolyhedronData["Archimedean"]Out[1]=...

For those who want to push the boundaries, dive into the Mathematica notebook called kochsnowflakes.nb and unleash your creativity by generating DXF files for numerous Koch snowflakes. But remember, ensuring that these intricate patterns don't...

We use Mathematica to craft these intricately designed wireframe representations of the thirteen Catlan solids, merging their digital form with mesh modeling software like MeshLab and TopMod. Bringing them to life in 3D requires only a click or two,...

We combined multiple computer-aided design tools like Mathematica, Blender, Tinkercad, Knotplot, SeifertView, and OpenSCAD to 3D print the conformations through seven crossings. ... For more in-depth information about the underlying mathematical...

To generate the .stl file used in this project, I employed Mathematica's powerful RegionPlot3D feature with PlotPoints set to an exceptionally high value of 200. For additional information on the intriguing world of trefoil knots, visit Wikipedia's...

I was just messing around with Mathematica, trying out different functions and graphing techniques.When I achieve the desired shape, I use several programs to edit it for an elegantly looking pattern. Software used include Meshmixer, Meshlab, 3Ds...

This design was created in Mathematica after experimenting with Julia plots, discovering an intriguing pattern that caught my attention. Four symmetric regions converge within the complex plane where the set plot converges. ...(A picture of the printed...

... the filament does not adhere perfectly to the bed. Post-Printing How I Designed This I used NX 9.0 to create precise letter designs that match the correct numbers accurately. The letters and numbers were created using "Mathematica 7" for exactness.

These intricately designed wireframe models of the thirteen Catalan solids were crafted using Mathematica, MeshLab, and TopMod. Print them for mathematical flair or to demonstrate your printer's capabilities! These models were printed on a MakerBot...

A Catalan solid that serves as the "Kleetope" of the octahedron - a shape formed by adding small pyramids to each face of the octahedron - has been created using Mathematica, MeshLab, and TopMod. For more mathematical insights and design notes, see...