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The cuboctahedron is unique among polyhedra as the only shape with all edges equal to each other and equal to the circumradius. Buckminster Fuller referred to it as the unit singularity
I saw a video of this piece made of metal and wanted to have it too. So I tried to build it myself for the challenge. This is the result. It's a cuboctahedron which can be formed into an octahedral shape by rotation. The small joints are…
Low Poly Spheres: Low-poly, high-fun! Low Poly Spheres is a series 3D printable models of polyhedra that look like low-poly spheres. You may remember from math class that polyhedra are solid 3D shapes with flat polygonal faces, straight…
Truncated Tetrahedron Cuboctahedron Truncated Octahedron Truncated Cube Rhombicuboctahedron Snub Cube (laevo, dextro) Icosidodecahedron Truncated Cuboctahedron Truncated Icosahedron Truncated Dodecahedron Rhombicosidodecahedron Snub…
Low Poly Spheres: Low-poly, high-fun! Low Poly Spheres is a series 3D printable models of polyhedra that look like low-poly spheres. You may remember from math class that polyhedra are solid 3D shapes with flat polygonal faces, straight…
Low Poly Spheres: Low-poly, high-fun! Low Poly Spheres is a series 3D printable models of polyhedra that look like low-poly spheres. You may remember from math class that polyhedra are solid 3D shapes with flat polygonal faces, straight…
A Printable Rhombicuboctahedron as drawn by Leonardo da Vinci in Pacioli's Divina Proportione c.1495 with a captive ball. This model tests your printers bridging and overhangs and should be printed without supports on the external shape…
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 =…
Each circumscribed radius is set to the same. ref) https://dmccooey.com/polyhedra/Archimedean.html Truncated Tetrahedron Cuboctahedron Truncated Octahedron Truncated Cube Rhombicuboctahedron Snub Cube (laevo, dextro) Icosidodecahedron…
The test of all tests in my opinion. If your printer can print this without any supports (it is possible) you have a well tuned in printer. I have included a beginner single rhombicuboctahedron and then a 3x3x3 array. To make it print…
A Printable Rhombicuboctahedron as drawn by Leonardo da Vinci in Pacioli's Divina Proportione c.1495. This model tests your printers bridging and overhangs and should be printed without supports. Suggest scaling to 30 - 40 %
This is a tray-mount 60% keyboard case. It is a remix of the following model: KeyBoard Case for Mechanical KeyBoard (Pok3r, GH60, Satan) by MaxWinterstein. (See the "Remixed From" section in the sidebar to the left for additional…
R-blocks are a based on a rhombicuboctahedron with square openings cut through 18 faces. This provides many locations and orientations to connect the blocks together with small square pins. A corner pin is useful for supporting the inside…
A hyperbolic cuboctahedron I made in CAD. You can print it in halves and glue it together after printing to avoid use of any support structures. (3MF Included) Print Settings I Used (Bambu Lab P1P): Nozzle: 0.4 mm Layer Height: 0.16 mm…
A truncated rhombicuboctahedron as a hollowed out bead. https://en.wikipedia.org/wiki/Truncated_rhombicuboctahedron This convex polyhedron is special in that it features all the main crystallographic planes 100, 110, and 111. Plus the 211…
Cross sections of the Menger sponge have a pretty amazing star pattern. This model can print without support. Trying to remove supports would be terrible!
This is a compound of a cuboctahedron and a rhombic dodecahedron, modeled in CAD as the base shape for a new fractal series I'm releasing . I’ve included the 3MF file for the exact print shown in the photos. That one was printed on a…
Printed with 0.2 layer and 15% infill. No support needed.
This is another Planetary Explorer Module, suitable for holding 3.75 inch / 1:18 scale action figures. This one is inspired by a certain early 70's sci-fi TV series, but it's modular design allows for many more combinations. The different…
What would our standard cube packing puzzles look like if we used cuboctahedrons as the base unit instead of cubes? Obviously, when you are cutting wood, cubes are much easier, but we have 3D printers now! Stewart Coffin's Half-hour…
You will need 12 hubs and 24 popsicle sticks to assemble the cuboctahedron. the fit should be tight and the sticks won't slip out. There is also center facing slot for optional radial sticks. The large flat face points towards the center…
A very unique puzzle I designed a while back. You will need 26 M3 x 10mm screws.
Spiral cut the cuboctahedron into two identical pieces. Configuration designed to be printed without support. This 14-sided polyhedron puzzle was given as a gift to celebrate my father's 1/14th of a millenium party.
1. The Idea I have always loved geometry and one of my favorite models is the Sierpinski pyramid made by ricktu you can find here https://www.thingiverse.com/thing:1356547 I was browsing polyhedra on Wikipedia looking for examples that…
We like polyhedra and plants. So we made a plyhedron planter
This is Level 1 of a new fractal series I’m developing, built from a compound of a cuboctahedron and a rhombic dodecahedron . I designed it in CAD to explore geometric recursion and symmetry. This is the first step in a larger…
This model represents level 2 of a self-similar cuboctahedron fractal I came up with and designed in CAD. It starts with a basic cuboctahedron and repeats the structure at different scales to form a larger cuboctahedron made up of smaller…
This model represents level 1 of a self-similar cuboctahedron fractal I designed in CAD. It starts with a basic cuboctahedron and repeats the structure at different scales to form a larger cuboctahedron made up of smaller ones. Enjoy…
This is from the same process as made https://www.printables.com/model/1506751-truncated-icosahedron-soccer-ball I started with mathgrrl hinge/snap polyhedra https://www.thingiverse.com/thing:440961 , but quite heavily modified - for…
A simple multipart design of a truncated cuboctahedron. The pieces will need to be glued together. Category: Math Art
There are many approaches to creating this Rhombicuboctahedron and this is just one way! You can find my FreeCAD design file here as well. I used FreeCAD sources to compile this dev version: 1.2.0dev.44934 (Git). I hope this helps others…
A complex function you can hold. This sculpture is a picture of a single mathematical function. A rational function on the Riemann sphere is pinned down by its zeros and poles. Here they come from a rhombicuboctahedron, an Archimedean…
inspired by and designed for mathematical artist Dan Suttin. See more of Dan Suttin's astounding art collection and art process at his Octa-Tetra Museum: https://www.facebook.com/profile.php?id=100050990596687
a cuboctahedron inspired by Dan Suttin. See more of Dan Suttin's amazing art and art process at: https://www.facebook.com/profile.php?id=100050990596687 Category: Math Art
A great rhombicuboctahedron (also called a truncated cuboctahedron) is an Archimedean solid with 26 regular faces. 200mm tall model Completed model in Shapr3d
A rhombicuboctahedron is a three-dimensional shape with 26 total faces, made up of 8 triangles and 18 squares. 200mm tall. Made in Shapr3d
There are a bunch of workflows you could use to create this design. This is just one of them as an exercise to learn FreeCAD. The 3 bodies are internal and are defined by a spreadsheet making it parametric. You may also be interested in…
There are many approaches to creating this Rhombicuboctahedron and this is just one way! You can find my FreeCAD design file here as well. I used FreeCAD sources to compile this dev version: 1.2.0dev.44934 (Git). I hope this helps others…
Modular rhombicuboctahedron made of 24 corners and 48 pins. All corners and pins are identical I printed them 250% with supports (build plate only), 0.2 mm layers on 0.4 nozzle. May require some adjustements to make them fit correctly. It…
There are a bunch of workflows you could use to create this design. This is just one of them as an exercise to learn FreeCAD. The 3 bodies are internal and are defined by a spreadsheet making it parametric. You may also be interested in…
To create a complete Rhombicuboctahedron you will need the following otherwise print however many pieces you like to make whatever you like. 1 x Heart 6 x Centre 8 x End 8 x side
