Conclusions about embedding singularities
They arise from a geometric constraint: preferred metric
 gaussian curvature implies strong stretching penalty
thin Þ singular
induced boundary edges, core crescent
Novel features: singularities interact strongly
energy condenses into arbitrarily small fraction of system
singularities induce further structure at large distanced
chaotic crumpled structure
hierarchical boundary waves
Fundamental puzzles
vanishing mean curvature at forcing boundaries
generalization to other metric-defined systems