solids of constant width rounded reuleaux tetrahedron meissner tetrahedra 3d models

... and test it, reporting back on its functionality. For more information, visit http://en.wikipedia.org/wiki/Reuleaux_tetrahedron or watch the videos at http://www.youtube.com/watch?v=270qEZKXAfQ and http://www.youtube.com/watch?v=cUCSSJwO3GU#t=108.

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...

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 Reuleaux Triangle's Three-Dimensional Cousin Makes Geometric Dreams Come True The Three-Dimensional Reuleaux Triangle: Unveiling Its Fascinating Geometry and Versatility In mathematics, the Reuleaux triangle has long been a staple of geometric...

[Update 06/05/2017]: Further research revealed that this shape is actually called a Reuleaux tetrahedron, but it's not a solid of constant width. It has a slight extra width between two opposite edges. The solution to make it constant width is often...

https://youtu.be/2eUWT9cI23o I implemented it based on a tetrahedron. [Update 06/05/2017]: It turns out that this shape is called a Reuleaux tetrahedron, and it's NOT a shape of constant width. It has a slight extra width between 2 opposite edges. I...

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

This set consists of 4 unique designs, each with a distinct character but sharing a common trait: every single one has a consistent diameter of 35mm: Meissner Tetrahedron Revolved Reuleaux Triangle Revolved Reuleaux Pentagon Revolved Reuleaux...

Solid with constant width. Like a reuleaux triangle but with an extra dimension. Not useful but I found it interesting and could not find this model so I decided to create and share one myself. Best printed on one of the corners (as shown in the...

I discovered these shapes some time ago through Numberphile: https://www.youtube.com/watch?v=cUCSSJwO3GU Next, I decided to create my own shapes of constant width (I made them back in early 2014, then recently found them in one of my folders and...

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...

... 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.

A classic example of a solid with constant width is the Reuleaux triangle, named after its discoverer Franz Reuleaux in 19th century Germany. This shape consists of three circular arcs connected at their centers, forming an equilateral triangle when...

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

Solids of Constant Width are non-spherical solids with a consistent width, regardless of their orientation. ... Check out my article on how we utilized them in the classroom:...

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...

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...

This post contains tutorials on creating Reuleaux triangles and constant width solids using Solidworks, as well as modeling with Solidworks 2016, rendered with Simlab Composer 8 Mechanical Edition, edited with Virtualdub, saved in AVI/X264 and BMP...

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...

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...

This is a precise shape of uniform width centered on a reuleaux triangle, where the distance between two diametrically opposite points remains constant across its entire length.

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...

This shape is perfectly round, with its width remaining constant all the way around. It may seem unusual at first glance, but a board can be run over it as smoothly as one would over marbles. A GIF showcasing these shapes in action can be found...

I have two other Reuleaux shapes on hand - the more common triangle shape, but a Reuleaux can be created for any odd-number N-gon, meaning triangle, pentagon, septagon and so forth. The easiest way to make one is by using the revolve method, as seen...

This is remarkably accurate if not entirely spot on.

I've developed several iterations that are volumes of revolution based on the Reuleaux Triangle. Print at standard resolution with two shells. Include a raft and support material to ensure stability during printing. The support material is minimal,...