Klein Bottle

Folding instructions: PHiZZ
This is the primary page for this model.
Paper: copy paper (note block)
Type: other modular mathematical object (implies: abstract modular, abstract, geometric, mathematical object, modular, multi-sheet, other mathematical object)
Author: Michał Kosmulski
Units used: PHiZZ, by: Tom Hull
Unit count: 500
Colors: green
In albums: Modular ④ – huge number of units

Main view with the neck Side view View of the connection between neck and bottom during model construction Bottom view
Images are licensed under the Creative Commons Attribution-NonCommercial 4.0 International License

This model was quite difficult to design, as the two sides of surfaces made with PHiZZ modules differ a lot (due to the presence of “bumps” where units join) and the Klein bottle is a one-sided surface. Thus, there must be a place where units pointing out in one direction join those pointing in the other direction.

I tested several different solutions before choosing the simplest and most elegant one. Last image shows a close-up of the bottle’s mouth, where units with two different orientations are connected. One of the earlier attempts resulted in creating the atomic mushroom cloud model. The last picture in top row shows a partially assembled Klein bottle, with inner parts of the “neck” visible.