Planar maps with high degrees

A random spanning-tree decorated triangulation of the torus with 100000 triangles viewed via its periodic Tutte embedding in the plane.
Figure A random spanning-tree decorated triangulation of the torus with 100000 triangles viewed via its periodic Tutte embedding in the plane.
Figure Boltzmann planar map with parameter a = 2.45
Figure Boltzmann planar map with parameter a = 2.35
Figure Boltzmann planar map with parameter a = 2.3
Figure Boltzmann planar map with parameter a = 2.0
Figure Boltzmann planar map with parameter a = 2.0
Figure Boltzmann planar map with parameter a = 1.8
Figure Boltzmann planar map with parameter a = 1.7
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