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Pieces of Eight is an exploration of ideas on fundamental representation in physics, aiming to describe a unifying framework.

This page contains preprint material for the PIRT XI conference (September 2008), and material presented at PIRT X (British Society for the Philosophy of Science, Physical Interpretations of Relativity Theory X, Imperial College, London, 9 September 2006).

Zenith is an immersive puzzle game, inspired by The Sentinel by Geoff Crammond. Use the landscape's resources wisely to gain height and depose the Sentinel from the highest point on the landscape.

Using only four '4's, i.e. 4, 4, 4, and 4, with any number of operators, you must arrive at the chosen solution. For example,

0 = (4+4) – (4+4)
1 = (4 / 4) / (4 / 4)

OK, that's 0 and 1 done, what about the rest? It becomes more difficult with higher numbers!