A visualization of sorts!
The symmetry splits the total number of chapters in half; 57 odd-odd or even-even, and 57 odd-even or even-odd chapters.
The numbers (# and *) in the pair of subtables on opposite corners add up to either sum of the single columns of the complete table!
Odd-odd + even-even = 6236 and even-odd + odd-even = 6555.
I find this symmetry beautiful as it is only based on the nature of the dataset's integers.
I like the above basic visualization. I hope you like it too.