szilassi polyhedron 3d models

... your creations online and inspire others to explore the world of 3D printing! To delve deeper into the fascinating world of this polyhedron, visit its dedicated Wikipedia page for more information: https://en.wikipedia.org/wiki/Szilassi_polyhedron

This is my copy of the famous Szilassi polyhedron, resized for RepRap printers, including the Huxley. This unusual mathematical shape has the topology of a doughnut but using only 7 faces and 14 edges. ...Each of the 7 faces shares an edge with every...

Your Szilassi polyhedron copy is designed for RepRap printers like the Huxley. This unique shape features only 7 faces and 14 edges, resembling a doughnut topology. Each face shares an edge with all others; thus, it needs 7 colors for mapping...

I am excited to show off my replica of the Szilassi polyhedron, perfectly scaled down for RepRap printers, including the Huxley model.\nThis intriguing mathematical creation boasts the topology of a doughnut but achieves this unique form with a mere...

This is my copy of the famous Szilassi polyhedron, resized for RepRap printers, including the Huxley. This unusual mathematical shape has the topology of a doughnut but using only 7 faces and 14 edges. Each of the 7 faces shares an edge with every...

Each face of this polyhedron shares an edge with each other face. ... Faces 7 hexagons Edges 21 Vertices 14

... adjacent sides. ...Topologically, it resembles a torus. The SolidWorks file provides straightforward instructions for modifying angles and dimensions of this unique polyhedron. ...Experimenting with the proportions of features is an engaging activity.

Each of the 7 faces of this polyhedron shares an edge with each other face. ... The simple code is provided.

... showcasing a uniquely harmonious configuration. The Szilassi polyhedron stands as one of two known polyhedral marvels, the other being the tetrahedron, in which every single face forms a mutually exclusive union through their shared edges.

The Csaszar polyhedron, a toroidal nonconvex shape featuring 14 triangular faces, is the dual of the Szilassi polyhedron. Distinctively, it lacks diagonals as every pair of vertices is connected by an edge. For printing purposes, regular infill at...

The Szilassi polyhedron's dual is a polyhedron with a hole and a minimum number of vertexes greater than zero, modeled by cdsteinkuehler and published on August 22, 2012 at http://www.thingiverse.com/thing:29014/#files. It has already been printed.

A polyhedron,you can print it with ABS/PLA or resin material.

A simple irregular polyhedron serves perfectly as a great centerpiece for any room.

All five regular polyhedra, including the diminished polyhedron, exist and are well-documented in mathematics and geometry.

By utilizing only bars and balls, I constructed an intriguing polyhedron. ...The versatility of these components allows for numerous shapes to be created based on one's creativity.

Derived from my Dodecahedron model, this design is suitable for 3D printing. ...I haven't had the chance to print it yet, and I'd be glad to receive your thoughts after you try it out.

Print all pieces you want, you can build all polyhedron you want. Triangle, square, pentagon and hexagon included. Print as many pieces as you want, you can build as many polyhedra as you want. ... Triangle, square, pentagon and hexagon included.

Earing based on polyhedron and sphere volume

This is a Koebe polyhedron, accompanied by its circle packing and dual necklace. ...The packing consists of circles sealed off by the polyhedron itself. Dual-necklace circles are those intersecting the polyhedron's faces with the sphere.

Attached is the grading polyhedron file with each face labeled by the inequality constraint generating it and a stand to hold it correctly in space.Full Details at: https://www.ams.jhu.edu/~grimmer/Grading.pdf

The Császár polyhedron shares some similarities with the tetrahedron, as it also boasts no diagonals - every line connecting two vertices is already an edge. With a genus of 1, this polyhedron features a distinctive hole running through its center. ...I...

The Schonhardt Polyhedron is the most basic example of a polyhedron that cannot be divided into tetrahedra. You can create it in OpenSCAD with just two straightforward lines of code. ... For more information about this and other geometric/mathematical...

The Mathieu Polyhedron is the most elementary case of a non-regularizable polyhedron. You can produce it in OpenSCAD using just two straightforward lines of code. For more details about this polyhedron and why it's really cool, check out the latest...

A soccer polyhedron, or truncated icosahedron, is one of the most recognizable spherical polyhedra. Why this particular model? It serves as an excellent foundation for further designs. ...For instance, you can utilize it to create items like the...

This uniformly filled polyhedron uniquely topples on one face. Its stability depends on precise printing; inaccuracies may affect it. A split-version is provided for improved accuracy and gluing. ...Conway and Guy first proved the existence of such...

The Schonhardt Polyhedron stands out as the most basic example of a polyhedron that cannot be tetrahedralized. With just two simple lines of code in OpenSCAD, you can create it easily. For more information on this and other meshy/mathy topics, visit...

To Make Basic Geared Polyhedron: Print 1 core - PolyCoreOBJ_STL.stl Print 18 pins - UsePinsOBJ_STL.stl Print 12 large gears - GearedPolyHedraGearsBig.stl Print 6 small gears - GearedPolyHedraGearsSmall.stl To Make Geared Polyhedron with Base and...

The Schoenhardt polyhedron, although seemingly simple, is unique as it cannot be constructed from tetrahedra. It possesses a distinctive feature where no internal diagonals are present; each vertex connects to four others through edges, while the...

Used Fusion360 to determine the angles needed to modify Bob_East's SCAD file to produce connectors for other polyhedrons. I've included: Tetrahedron (4 faces), Hexahedron (Cube - 6 faces), Tetratetrahedron (regular octahedron - 8 faces), Dodecahedron...

Used Fusion360 to calculate the precise angles required to alter Bob_East's SCAD file in order to design connectors suitable for other polyhedrons. I've included: A Tetrahedron with four distinct faces, a Hexahedron commonly known as a Cube,...