
Principle 27 

This number gives the position of the symbol within the lattice path order. 
P = 


This is the principle symbol described by the page. All of the hexagram symbols in the rest of the page link to the page for the relevant principle symbol. In addition there are many links to the various groups of which this principle symbol is a member. 
Opposites 

All of the expressions in this group describe some form of opposite relative to the principle symbol. The Σ link here is to the contrast cluster for the symbol. In addition, some symbols have an equation linking to all symbols satisfying that equation. 
~P = 


This is the Boolean opposite of the principle symbol  its energetic inversion. 
o(P) = 


This is the overturning of the principle symbol  its spectral inversion. 
e(P) = 


This is the image exchange of the principle symbol  its subject/object inversion. 
œ(P) = 


In this opposite, each trigram is overturned, but left in its original position. 
Structure 

All of the expressions in this group describe structural aspects of the principle symbol. 
b(P) = 
4 

This is a count of the number of internal energy boundaries within the symbol. The Σ link connects to all symbols with the same number of boundaries. 
c(P) = 


This symbol defines which lines of the principle symbol are correct. 
r(P) = 


This symbol defines which lines of the principle symbol are resonant. The Σ link connects to all symbols with the same resonance. 
i(P) = 


This is the interlocking symbol of the principle symbol. The Σ link connects to all symbols with the same interlocking image. 
i(i(P)) = 


This is the interlocking symbol of the interlocking symbol of the principle symbol. The Σ link connects to all symbols with the same nested interlocking image. 
Lattices
This section may also have an equation linking to all the symbols which have a common lattice energy across both lattices.
Boolean 

This is the Boolean lattice locale of the principle symbol. 


The numerical fraction describes its vertical position in the lattice. The row of symbols above the principle symbol are those immediately above it in the lattice. The row of symbols below the principle symbol are those immediately below it in the lattice. 


m_{B}(P) = 1/2 





Culver 
This is the Culver lattice locale of the principle symbol. 





m_{C}(P) = 10/21 





Rotations
Standard 

This is the standard rotation. The symbol to the left of the principle is its downward rotation by 1 step and the symbol to the right is its upward rotation by 1 step. In the standard rotation there are no energetic changes to the principle. The Σ link connects to all symbols in the same rotation group. 

<< 

>> 


Xor 

This is the seasonal rotation of the principle symbol. In this form of rotation the energy of the bottom line switches after each step. The Σ link connects to all symbols in the same XOR rotation group. 

<< 

>> 


Parity 

This is the parity rotation of the pricniple symbol. In this rotation, the bottom line is yang if the parity of the symbol prior to rotation was odd, otherwise it is yin. The Σ link connects to all symbols in the same parity rotation group. 

<< 

>> 


Sequences
Lattice Path 

This sequence steps through the Boolean lattice in the canonical reflected Grey Code ordering. The Σ link connects to the complete lattice path sequence. 

← 

→ 


Shao Yung 

This is the standard binary counting sequence attributed to the sage Shao Yung. The Σ link connects to the complete Shao Yung sequence. 

← 

→ 


King Wen 

This is the standard ordering of the symbols given in the received version of the text. The Σ link connects to the complete King Wen sequence. 

← 

→ 


Notes 

This section include any additional notes and links particular to the principle symbol. 

