The diagrams show the 1-skeleton with 42 points and 84 oriented edges. Further opposite embeddings of the 3-dimensional associahedron. And some interesting 2-cells, too.
In the first two diagrams the black (as opposed to blue) arrows depict for each point the "canonical directed path" (Mac Lane 1963 MR 170925 p. 34) to the base point ((((01)2)3)4)5 (the red one on the bottom cube).
The labels in the third diagram are the Tamari indices as in the diagrams up to dimension 3 in Tamari's diagram.
The images have a high resolution (2040x2336). Go full screen to marvel at them. Or click on the images or the links above to access them unscaled.
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