Tick Tock*


Temporarily forgetting the idea that only simplexes really matter, we made a random discovery in June 2007. This page shows a simple seed evolving until it produces an embedded pentatope which duly explodes, producing a pair of fully flagged tetrahedra escaping and another three which remain part of a quadrupling "head" attached to a doubling trail of tetrahedra.




Working on the first practical application of the Tick Tock rule, the characterisation of networks to provide a basis for evaluating citation data for a Philosophy of Complexity paper, the very first random trial with ten nodes and 30 links (including duplicates and loops which reduced to 23 actual edges) produced a simple enough seed with surprising enough behaviour that it became the focus for this page.