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For surfaces, we brush a reasonably sharp picture of the influence of thefundamental group upon the complexity of foliated-dynamics. A metaphor emergeswith phase-changes through the solid-liquid-gaseous states. Groups of ranks$0\le r\le 1$ are frozen with intransitivity reigning ubiquitously. When $2\ler \le 3$, the marmalade starts its ebullition in the liquid phase, with bothregimes (intransitive or not) intermingled after the detailed topology.Whenever $r\ge 4$, we reach the gaseous-volatile phase, where anyfinitely-connected metric surface is transitively foliated. The game extendsnon-metrically, as putting to the fridge a frozen configuration keeps itfrozen. Gromov asked: {\it Is there a life without a metric?}, yes surely butmaybe only a cold eternal one is worth living. The picture is pondered by ascenario of gravitational collapse at the microscopic scale (due to Baillif)dictating the foliated morphology when it comes to surfaces of the Pr\"ufertype (like those of R.\,L. Moore or Calabi-Rosenlicht).

Ebullition in foliated surfaces versus gravitational clumping