The Collapse of the Wave Function and Origins of Consciousness: A Conversation with Roger Penrose

[Jim__]

7. Here are 2 links - to a brief description and to the 89 page paper on arXiv

The link to arXiv.

The link to a brief description on phys.org.

And an example:



The gray “hat” polykite tile is an “einstein”, an aperiodic monotile. In other words, copies of this tile may be assembled into tilings of the plane (the tile “admits” tilings), yet copies of the tile cannot form periodic tilings, tilings that have translational symmetry. In fact, the tile admits uncountably many tilings. Credit: arXiv (2023). DOI: 10.48550/arxiv.2303.10798