Maybe, we should have just use,
震 离 艮 坤 乾 兑 坎 巽 乾 兑 坎 离 艮 坤 repeats...
as the new HouTian series, and form up a hexagram with this at the bottom and the series,
坤 震 坎 兑 艮 离 巽 乾
on top. A array of 14 X 8 = 112 hexagrams.
But hexagrams are not formed this way.
A series of hexagram formed this way is not in binary order, and hopefully, is predictive as a sequence, as we move along the 14 members of the HouTian series.
Next!
On the next instance, there can be,
2(change/unchanged HouTian Gua) X 2(change/unchanged XianTian Gua)
4 possibilities. This is reduced from 8, because the series HouTian series,
震 离 艮 坤 乾 兑 坎 巽 乾 兑 坎 离 艮 坤
has effectively four distinct states, a SiXiang which has been reduced from 8 by dividing 2.
This gain is from HeTu and LuoShu that formed the HouTian infinite cyclic series and constrains all events to follow it.
The added complexity is an increase in the number of hexagram from 64 to 112. And lg(112) - lg(64) = 0.80735 < lg(2)...
