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The Menger Sponge is the 3D analogue to the Sierpiński Carpet fractal. 3D print a Menger Sponge in its usual orientation is difficult because it requires many internal supports that might be hard to remove. Cutting the Menger Sponge in…
I made this model while exploring fractal geometry using CAD software. Because of the complexity, slicing can take a while and you’ll want a decent PC to handle it smoothly. The print itself is also a long one. The example print shown…
Fractale -- Éponge de Menger -- Menger sponge. De taille 50x50x50mm. L'éponge de Menger est une fractale tridimensionnelle, nommée d'après le mathématicien allemand Karl Menger. Elle est construite en partant d'un cube et en le divisant…
To learn more about the Menger Sponge, please visit https://en.wikipedia.org/wiki/Menger_sponge
Menger Sponge, on a stand, 3d printable without supports. https://en.wikipedia.org/wiki/Menger_sponge
A level-four Menger Sponge. This printed in just under three days on my Prusa i3 clone, at 0.1mm layer height, 100% infill, and conservative motion settings. Large file is large -- make sure you have plenty of memory and give it time to…
Menger Sponge levels 1 - 3. Generated with the Extra Objects addon in Blender.
I made this self-similar rhombic dodecahedron fractal model while exploring geometry using CAD software. In my opinion, it looks especially stunning when printed in dual or tri-color silk PLA. Print Settings (I Used the Bambu Lab P1P):…
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!
How I would print this: Scale to desired size before rotating. Support on build plate only. Rotate from flat to its face to an edge with a 45 degree rotation, then rotate it to stand on a corner point with 35.26 degrees. 35.26 comes from…
4 different levels of Menger Sponge. When the cube is set to 10cm, the smallest holes size is 1.2mm
I was playing around with cubes in my CAD software when I had an idea. Turns out part of that idea had a name: the Menger Sponge (…what?…) This 3D cubic fractal serves as the centerpiece for my new dice tower. There are two different…
A cube can be cut in half along a diagonal hexagon. When a Menger sponge is cut in half along the same diagonal, a new fractal emerges. The face is similar to a Sierpinski carpet, but with hexagrams instead. The bar can be printed…
I liked this shape, but it almost crushed my PC during construction. The smallest structure in this model is 0,4 mm so scale it to your preferred nozzle size.
Variation on a Menger sponge. This may work with very good bridging - otherwise use the base option and a thick frame. The fine detail stl might work on a resin printer.
This model is a 2D slice of a Level 4 Menger sponge that I modeled in CAD, resulting in a Sierpiński carpet. It prints great with a 0.2mm nozzle, as seen in the photos. Here are the print settings I used: Bottom Surface Pattern:…
This is a Level 4 Menger-style triangular bipyramid featuring an attached base. I designed this model manually in CAD without using code. This is part of a series progressing through multiple levels of recursion. For this version, the…
Bow tie with a notch that slips over your top shirt button. Even though the fractal design is squished, it has the correct perspective from the front and looks like real cubes. The bow tie is designed to be printed without support.…
Explore the beauty of mathematical geometry with this Menger–Sierpinski fractal 3D model. This design is inspired by classic fractal structures, combining the recursive complexity of the Menger sponge with the elegance of Sierpinski…
Files Include: Flat and standing on corner version of 1st-4th degree Menger Sponges 4 cut versions of the 4th degree Menger Sponge (for easier printing and to see the cool patterns) Locking pin that can connect 3rd and 4th degree pieces…
Hold it up to a light and you can see straight through it, in three directions. A Menger sponge starts as a cube. Cut it into 27 smaller cubes, then take away the one in the middle and the six in the middles of the faces. Do the same to…
a menger spong with round holes and not squared ones Category: Math Art
a menger dice stage 0 to 5 to represent the number 1 to 6 of a real dice the rounded model is just to be thrown more easily. or just a menger spong to show the different orders this model is big print it at 45° Category: Math Art
This is a fractal sculpture I created by remixing a Level 4 Menger Sponge that I originally built using Blender’s Geometry Nodes. I've included a 3MF file with all the settings in place to produce the print shown in the photos. I used…
a basic 3d model of menger sponges of level 0 (cube) to level 5
This fractal was made in CAD by applying the Menger sponge steps to a regular octahedron using additive recursion. If you want to see more of this fractal, check out my collection on Sketchfab! Just keep in mind, those models aren't…
Menger sponges are very easy in Blender, a mouse click, type in the size and level you want, and there it is. This one needed some more work. I printed it in PLA, three walls, three top and bottom surfaces, 5% infill. Scale it how you…
Half of the cube allows to see a star pattern at the diagonal cut which is awesome. When printed on this side no support is required! Printing of this part on MK4 of a size of the entire bed would take approx 3d 6h (0.2mm quality). And…
I wanted to design a pot, I like Menger sponges, made a Menger Pot! No supports needed. I used Fusion360 mostly. Included a solid version for spiral vase mode (works really well). Print instructions no supports needed
This is derived from my other Menger sponge design with some modifications. If anyone is interested I can upload the openscad file but it is ugly. Not very practical as a pencil holder but it seemed like a good idea at the time.
A simple drink coaster with a mengersquare design in the middle and a nice chamfered edge at the top. About 8cm diameter
made this for a project i printed it up on a corner with only supports on the bottom
