As much as I love the Penrose tiling and long-range order (I used to do glass research!), this seems like a terrible idea
1. Diverge correlation times/lengths means time to verify of a single transaction’s validity could take way longer than block propagation


https://twitter.com/lisajytan/status/1320565147522519041
1. Diverge correlation times/lengths means time to verify of a single transaction’s validity could take way longer than block propagation



2. If you want to anonymize a transaction graph by using a lattice with dense spectra (like the Penrose tiling) to define a DAG, note that you aren’t guaranteed that there isn’t *any* local structure that an adversary can find — only that no tx ordering will be unique
2. (cont.) It is possible that prefixes of tx ordering overlap an arbitrary amount, so there isn’t as much transaction ordering entropy as there is from cryptographic graph traversals (e.g. expander graph walks in supersingular isogeny signatures, lattice based crypto)
3. Do you really want locally 5-fold symmetry? I think the fact that transaction orderings now have this local free action of S_5 on them would make it hard to avoid MEV on segments of 5 txns or less
*diverging