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Wireframe Klein Bottle

by Gnietschow, published

Wireframe Klein Bottle by Gnietschow Nov 2, 2014

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Summary

A klein bottle with wireframe style so the whole surface can be seen. With a solid surface the bottle looks not so exciting and the meaning is difficult to understand. So I made this version.
It prints without support, but isn't very easy to print, because it needs a precise calibration and good adhesion on the bed.
Edit: I tested it now with 0.3mm layers and it printed successfully (yellow image).

Instructions

I printed it with 0.15mm layer, 0.5mm nozzle, no support and no infill. For better adhesion my printing bed is covered by Kapton tape. It took 2h and consumed 2m of my 3mm filament (15,5cm³).
(Same settings with 0.3mm layers took 50min and printed successful, too)
As there are bridges everywhere, you should calibrate your bridging in before.
Because the contact surface is very small, it's likely to move while printing, ruining the print. I've made a version with predefined brim, which can be more easily removed, because it doesn't fill the holes of the model. The model without brim is there too if you want to manage the brim on yourself.

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Since I posted the comment I talked to a friend who has wrestled with understanding and visualizing 4D representations in 3D space for many decades. (His latest endeavor is to understand Clifford algebra which when applied in 5D space apparently is useful for computer graphics where there is handling of perspectives. (I can't say that I really understand it.)) He was doubtful that the extension of a Moibus strip to make a 3D object does indeed "have a hole" through the surface, so maybe the print is correct as it stands. To me, for this to be called a "bottle" it should have a hole, but maybe some mathematicians disagree. Such details aside, the print is really very nice, and people I show it to are intrigued and delighted by it.

To my surprise when I showed the print to an engineering friend he noted that where the tube "pitcher handle" goes through the side the tube is blocked by the mesh, so it is a defective. I found http://www.thingiverse.com/thing:910737 does it correctly.

Voronoi Klein Bottle

I had a look at the spot and you are right, the tube is blocked. It seems I missed the spot at the time of modeling. If I find the time, I will fix it.

I recomend printing on a scale of 1.50 and 70% or higher fill for great results

Thanks for the great advice, using a scale of 1.5 and 70% fill resulted in a much better print.

Could you share a picture of your print? Would be interesting :)

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