{
  "schemaVersion": 1,
  "model": "Four labelled SU(2) legs with total spin J=sum_i j_i",
  "spinConvention": "twiceSpins[i]=2*j_i is a nonnegative integer; total twice-spin is 2J",
  "closureCriterion": "max_i(j_i) <= sum_{r != i}(j_r); strict inequality excludes the collinear closure boundary but does not remove planar configurations",
  "basisConvention": "A recoupling basis couples (j0,j1) and (j2,j3) through the same intermediate spin k; k advances in integer steps.",
  "interpretation": "Finite quantum spin and intertwiner labels only. Classical shapes at fixed face areas form a continuum, so they require a stated mesh or an analytic parametrization. This is not Thurston's lattice classification of special sphere triangulations.",
  "thurstonReference": "https://arxiv.org/abs/math/9801088",
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}