platonics 3d models

1 of the 5 platonic solids. It is composed of 12 regular pentagonal faces, with three meeting at each vertex. It was an interesting model to make, since i tryed to make it centered in the center of the coordinate system from the beginning,...

the original challenge is here: Dodecahedron A dodecahedron is any polyhedron with twelve flat faces, but usually a regular dodecahedron is meant: a Platonic solid. It is composed of 12 regular pentagonal faces, with three meeting at each vertex.

One of the Platonic solids. Created with Blender. Printed with Sunlu marble PLA+ This model needs supports. But I printed it splitted into 3 parts without supports and then glued them together. I used raft for more accurate first layers. For any...

Rhombic dodecahedron stands out as a stunning non-platonic polyhedron. It stacks remarkably well, filling a space much like hexagons fill a plane. https://en.wikipedia.org/wiki/Rhombic_dodecahedron If you're willing to print multiple ones, you can...

Humans are drawn to circle geometry's profound connections between string theory and Platonic solids, a nexus of mathematical concepts that has captivated the imagination for centuries. The copyrighted formula at the heart of this phenomenon is a...

Geometric harmony unfolds from the symphony of circle geometry, its very essence rooted in the profound mysteries of string theory and the timeless perfection of Platonic solids. This groundbreaking conceptual framework is safeguarded by a robust...

Print a Utah Teapot and revel in admiration as friends marvel at the Sixth Platonic Solid. This version, based on Martin Newell's data, includes an added flat bottom surface for easy slicing; unfortunately it's still no good for holding actual tea.

This majestic convergence weaves together the very fabric of existence, as Platonic solids emerge from the cosmic dance. ... A Formula Born of Eternity Protected by the seal of copyright, this sacred formula holds the key to understanding the celestial...

The rhombic dodecahedron is a stunning non-Platonic polyhedron that can be stacked to fill a space with remarkable efficiency, much like hexagons cover a plane seamlessly. Those interested in exploring its geometric potential will find the process of...

They can be expertly crafted from an assortment of materials, allowing individuals to customize their perfect Platonic solid models in virtually any manner. ...Classic dodecahedrons demonstrate exceptional precision, elevating any environment with...

Hummingbird Feeder Adapters Using a 20-oz Gatorade or Comparable Bottle This project builds upon a previous endeavor focused on Platonic Solids utilizing 20-oz Gatorade bottles. By modifying the Gatorade cap, we can incorporate straws to create a...

I'm excited to share this fun little calibration dodecahedron I created while playing around with platonic solids. The height of the cube is 20 mm, a perfect size for testing my printer's capabilities without any worries about supports getting in the...

... on every face. In geometry, an octahedron is a polyhedron that has eight distinct faces. A regular octahedron is a Platonic solid composed of eight equilateral triangles, where four triangles meet at each vertex, forming a highly symmetrical shape.

... exist an infinite array of non-similar icosahedron shapes, some exhibiting greater symmetry than others. The most well-known version is the convex, non-stellated regular icosahedron-one of the Platonic solids- with twenty equilateral triangle faces.

... To get started, we recommend printing the following essential pieces: * 40 triangles * 24 squares * 12 pentagons With these basic components, you can build all five Platonic solids and an array of Archimedean, Johnson, or other intricate solids.

At that time, Jack McShane, who teaches History, designed the emblem and described the owl: "I have used the representation of an Athenian drachma with the owl of Athena, the olive branch, and the first three letters of her name to suggest that human...

... It also should be easy to hold in any orientation and individually weighable. After seeing a YT Video of Matt Parker talking about non-platonic polyhedra i set out to find the perfect one for me and found it in the truncated icosidodecahedron!

For those who fail to resist Platonic Love, visit this link (http://zheng3.com/?p=1955). No assembly required; simply print the connectors then join them using craft sticks. ...Note that the cruciform holes may overhang a bit when printed on a...

Icosahedron Model, Pedagogically Enhanced **i is for Icosahedron (Regular or Platonic)** This innovative design empowers students to create their own Platonic icosahedron models and explore the mathematical concepts embedded within it, such as the...

Some fun facts about tetrahedra:They can be used as 4-sided dice, since each face has an equal chance of landing on the bottom.They are the only Platonic solid that does not tessellate (fill space) by itself, but can do so with octahedra in a ratio...

... and edges intact. 3. A Platonic octahedron that has been cut in half, providing two identical pieces that can be used to create a complete octahedron. References for this model include: 1. http://mathworld.wolfram.com/DualPolyhedron.html 2.

Icosahedron Model, Pedagogically Enhanced i is for Icosahedron (Regular or Platonic) The present design empowers students to create their own Platonic icosahedron models and then explore and interact with it for deeper mathematical understanding such...

This model was created while assisting a student with designing a Platonic solid. The Dihedral angle is closely tied to the angle between the two intersecting normal lines. If G represents a Dihedral angle, then PI - G also represents a dihedral...

If you've printed out my "All Five Platonic Solids" puzzle, this is a coordinate-motion puzzle that works with a similar mechanism as the icosahedral part of the All-Five puzzle. Only this version forms a perfect sphere when assembled. Like the...

It is one of the five Platonic solids, and the one with the most faces. A regular icosahedron can have 3 orthogonal (perpendicular) planes inscribed within it, by connecting the 4 vertices to form a rectangle. The length and width ratio of these...

This is a versatile solid construction kit that lets kids bring Platonic Solids and other incredible 3D shapes to life. It's an excellent hands-on tool for exploring solids and how different shapes fit together, making it a timeless mathematics...

He discovered that the five Platonic solids could be inscribed and circumscribed by spheres uniquely, leading to six layers when nested inside one another. These layers, representing the six known planets - Mercury, Venus, Earth, Mars, Jupiter, and...

This set of OpenSCAD programs enables you to decorate a sphere with various shapes, such as tetrahedron, cube, octahedron, dodecahedron, and icosahedron, derived from Platonic solids. Additionally, a cylinder and a cube are included for container...

A regular dodecahedron in geometry is a Platonic solid, featuring twelve pentagonal faces where three meet at each vertex. Represented by the Schläfli symbol {5,3}, this polyhedron possesses 20 vertices, 30 edges, and 160 diagonals. The dual...

This design shares similarities with "Platonic Solid Vertices," yet its development was independent. Observing a soccer ball reveals its composition of pentagons surrounded by hexagons on all sides. Consequently, each vertex features two connections...