DETAILED MAP AND ANALYSIS OF THE JOINT NETWORK AT DEVILS POSTPILE, CALIFORNIA
The Postpile comprises columns up to 20 m tall that are exposed along the eastern side of the San Joaquin River. The 82 ka basaltic trachyandesite flow was apparently dammed by moraines or ice to a depth of 110 m or more, allowing slow cooling and full maturation of the joint pattern. Column tops form a rolling surface that was smoothed and polished by recent glaciation, providing an exquisite view of the set of columnar joints. A 3D model was constructed from 1274 hand-held, ground-level photos; resolution of the 35x12 m model is a few mm. Of 940 mapped polygons, 53% are hexagons, 27% pentagons, and 18% heptagons. Features that demonstrate highly mature joint development include: (1) columns are uniform in size across the mapped area, averaging 60±16 cm (1 s.d.) in width; (2) interior polygon angles cluster tightly, averaging 119°±14° (1 s.d.); (3) concavities (interior angles >180°) are absent; (4) Voronoi polygons drawn around polygon centroids reproduce the joint system with great accuracy. These qualities all contrast with less mature joint patterns such as those found on Racetrack playa in Death Valley.
Hexagons form chains and clusters that intertwine with complementary chains and clusters of pentagons and heptagons, producing a non-repeating yet organized tiling. Isolated polygons of either type are uncommon, a consequence of the inability to fill a hexagonal hole with a single pentagon or hexagon. The joint network forms a planar, connected, simple, nearly regular graph, and graph theory might provide insight into how nature produces such spectacular examples of self-organization.