Quantum Honeycomb

The latest Australian research predicts a Quantum Honeycomb. I believe that they have misinterpretted the data onto a two dimensional framework.
The image I include here is very similar to that at the site:

http://www.physics.monash.edu.au/research/news/quantum-honeycomb.html

However I have interpretted their prediction to show that a projection onto a cubic (and thus 4D) manifold is desirable.
This research seems correct to me and provides a bridge between my work and that of quantum foam!

My Solutions to Newton's Cube
My solution to Newton's Cube using my circular projective geometry produces a cube like that shown. The red regions would be areas under the influence of my ELASTIC force or equation. The elastic force is the last factor changing a circle completely into a cube.
To do the same start with a circle and use an ellipse at the a common centre point to generate a near rectangular (or square by simply varying the ellipse) shape. The final distorted square can be corrected with an elastic equation of the form y = sq root of (a - X^2).