Web Notes
The following research notes, presented in HTML format, detail ongoing work, sometimes directly in response to a external ideas. Where the material resented here assumes that you've read something from the PDF papers, this is made clear. However, at the least, you should probably have read Boolean Algebra and the Yijing before proceeding.
Subspaces and Unfoldings
Exploring a Cubic Subspace - this note is a worked example of the cubic sublattice generated as the representation of the change from 
to 
. This is intended as a supplement to the paper Flowers and Steps in the Boolean Lattice of Hexagrams, and I recommended reading that paper first.
Unfolding Some Narratives - in my paper The Yijing as a Symbolic Language of Abstraction I suggest that the representation of perspectival unfoldings can be given a narrative. These web notes present the narratives for some selected unfoldings.
Waves and Spheres
The next three items germinated as a result of some messages exchanged with Denis Mair and Henri Chorand on the Yixue mailing list. The notion of internal energy boundaries, formalized below, but common to a number of trains of thought, is connected to both wave sequences and Henri Chorand's spheres. As such it seems a good place to start.
Internal Energy Boundaries - this provides a quantitative analyses of one way in which the energy within a hexagram changes by looking at the transitions between yin and yang across the lines of the figure.
Wave Sequences - in this section I look at how waves of yang can move through the background yin in coherent patterns. The different types of wave that can arise are related to aspects of the internal energy boundaries discussed above.
Chorand's Spheres - this section describes an elegant and important construction developed by Henri Chorand which allows us to orient the 6-dimensional Boolean lattice in 3-dimensional space in a variety of interesting ways.
At the moment there are a number of notes for further work in the topics discussed above:
- Explore the connection between linear coherent waves and Culver's Fluvial Polar Difussion Lattice.
- Explore what it would be like if the Chorand Sphere were transparent and it was possible to see inside of it.
- Present some other topological arrangements of the Boolean lattice.