The black squares represent yin, or broken lines.
The white squares represent yang, or solid lines.

The black on yin squares were attributed to the feminine principle, the white or yang squares to the male principle. Although the later form of the I Ching was obscured with the male-bias of a patriarchal culture, the mathematical symmetry of the mandala above shows the absolute equality of the two principles.

"Beauty seems to be an intrinsic part of nature
and perhaps even the organizing principle of reality.
Scientists in testing their theories, invariably find
that the simplest, most elegant, most beautiful is the correct one.
Rainbows, butterflies, and the periodic table
are some examples of intrinsic beauty."
- National Geographic Magazine.

... Maybe more amazing is the way the 64 unit genetic code meshes with the 260 unit 13:20 Matrix or Tzolkin of the Mayans, but that will be for another tutorial. .