Thursday, March 23, 2023

Chain Link Klein Bottle #3DThursday #3DPrinting


DaveMakesStuff shares:

This model uses chain link latticing to represent a three-dimensional approximation of the four-dimensional “Klein Bottle.”

See here for video: https://youtu.be/AWJ-R3GBT80

See here for stable download: https://social.thangs.com/m/729957

The concept of a Klein bottle was first described in 1882 by the German mathematician Felix Klein. It is a closed non-orientable surface that has no inside or outside. It is similar to the Möbius strip, but unlike the Möbius strip it has no boundaries and cannot physically exist in three-dimensional space.

In this three-dimensional representation, the surface intersects with itself, but in four-dimensional space the self-intersection can be eliminated. Unfortunately, I don’t have a 4D printer yet.

Modelling this intriguing shape in chain link latticing allows for visualization of the whole surface.

download the files on: https://www.thingiverse.com/thing:5860620



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Every Thursday is #3dthursday here at Adafruit! The DIY 3D printing community has passion and dedication for making solid objects from digital models. Recently, we have noticed electronics projects integrated with 3D printed enclosures, brackets, and sculptures, so each Thursday we celebrate and highlight these bold pioneers!

Have you considered building a 3D project around an Arduino or other microcontroller? How about printing a bracket to mount your Raspberry Pi to the back of your HD monitor? And don’t forget the countless LED projects that are possible when you are modeling your projects in 3D!

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