solids of constant width 3d models

Mathematicians use solids of constant width to explore fascinating geometric properties and visualize complex concepts.

... width, regardless of their orientation. ... Check out my article on how we utilized them in the classroom: https://aidan-hammond.squarespace.com/new-blog/2017/6/8/solids-of-constant-width You can also access the file on A360: http://a360.co/2yRetoG

... rotation of a rather distinctive shape of unchanging diameter. ...There are also reuleaux tetrahedra, which aren't solids of constant width (yet extremely close to being one). ...For additional information, check out https://www.rad-head.com.

This is a collection of 8 different solids of constant width. Included models are Meissner tetrahedron, revolved Reuleaux triangle, revolved pentagon, revolved heptagon, and four more. ... All models are made to be the same scale Higher infill or wall...

This summary outlines five solids of constant width, divided in two halves for enhanced print quality. ... Print Settings: Rafts: Don't worry about it Supports: Not necessary Resolution: The higher the better - I achieved excellent results at 0.1 mm...

I'm thrilled to announce an exciting update to my previous Solid of Constant Width post. This time, I've created a Customizer that I'm confident you'll love just as much as I do! I have to admit, I'm currently obsessed with them and find it...

The functions include 'asocw' for an axisymmetric solid with constant width, 'meissner' for Meissner's body, 'reuleaux' for a Reuleaux tetrahedron (not a solid of constant width but close), 'cocw' for a cylinder of constant width, and 'pcocw' for a...

One of the key properties of solids with constant width is that they can be used to create shapes that maintain a consistent volume and surface area, regardless of how they are rotated or positioned in space. This property makes them particularly...

Sphere is the simplest shape with constant width, but other options include objects placed flat on a table, which can be rolled without surface height changes. Inspired by Jerome Shin, I've listed easy examples; more to come. ...These are my most basic...

People Print these Five Solids for Uniform Width, Cutting Each in Half to Improve Printing Efficiency. Printing Settings Options Are Available Below. Rafts The Type Doesn't Affect Outcomes Significantly. ...

Solid Shapes of Unwavering Proportions: Watch Demos on YouTube:https://www.youtube.com/watch?v=kGkR7xgBt6Ahttps://www.youtube.com/watch?v=y3UdHsCQpKo Based on a Thought-Provoking Variation:http://www.thingiverse.com/thing:234912 These Two Identical...

Remixed this original because the three models did not all have the same width. You should be able to print all three and be able to use them interchangeably now! I simply resized the Triangle and Pentagon, but there was an issue with the Heptagon's...

Happy printing!!! Print instructionsfor the triangle : I have a pre sliced file but If you prefer to slice your own do a “plane cut” of the model 5mm up to hit the seam on the button AFTER scaling it up to 300%. ...Then print both pieces on their flat...

Spheroform with Tetrahedral Symmetry Inspired by Angus one Friday night Ultimate Solids of Constant Width. I thought I would combine the ideas of tetrahedral symmetry and a low poly/fast OpenSCAD implementation. ... More information and Proof

A pair of straightforward objects, measuring 50mm in width, designed to work seamlessly with my Meissner Tetrahedron: https://www.thingiverse.com/thing:2757159 To illustrate their functionality as ball bearings, I've created a YouTube video...

I decided to act on a suggestion from creators so I gave it a shot and this is what happened. ...Thank you to those who sparked my interest in trying something new!

Several substances possess a uniform breadth.

This remarkable shape is crafted from interlocking triangles that work together to create a seamless sphere-like form. When placed in motion, this shape exhibits an uncanny ability to roll smoothly and effortlessly, defying its angular origins.

This text is based on a Solidworks practice inspired by a YouTube tutorial. The video, available at http://www.youtube.com/watch?v=cUCSSJwO3GU&feature=c4-overview&list=UUoxcjq-8xIDTYp3uz647V5A, offers a comprehensive guide to enhance your...

This object is a solid of constant width. If you print three of them and set a book on them, it is possible to move the book in any horizontal direction and the three solids will roll smoothly underneath it as if they were spherical balls. This shape...

Three of this shape's edges must be carefully modified to achieve constant width. This modification involves shaving down each edge slightly. ... Two distinct variations of the Meissner object are available for upload: Type 1 features the three altered...

... will add them to this list, and it's essential to remember that the shapes mentioned here represent the simplest forms that come to mind. In every instance, a "width" of precisely 100 millimeters has been assumed for the purpose of standardization.

Spheres aren't the only solids that retain their width regardless of the incident angle. These shapes maintain their width (height) no matter how they're rotated or rolled. Reuleaux tetrahedrons and revolved Reuleaux triangles share similar...

A tetrahedron-shaped solid with a 50mm width is showcased along with innovative experiments based on this design. ...A tutorial on its construction can be found in a YouTube video for your viewing pleasure.

This solid of consistent width should be, ideally.\r\n\r\nIt showcases a trait that it shares with spheres: you can utilize it as a ball bearing, even though it's not a sphere itself. However, when stuck between parallel planes, it should rotate...

A nonsphere solid that can act like a sphere as a wheel.

The model showcases the shape's consistent width, demonstrating its form in detail.

A shape of unwavering girth, this geometric marvel is crafted from a Reuleaux triangle that has been skillfully rotated about its axis.

A shape with unwavering consistency is one where every angle yields a consistent breadth. ...This remarkable object shares many traits with the perfect sphere, but takes it to new heights of excellence.

... surface. ...Consequently, it exhibits properties akin to those of a sphere, yet retains distinct characteristics that set it apart from the spherical form. ...Go ahead, take a closer look – you might find yourself perplexed by its unique qualities.