We start with the ten zones which are labeled with the numbers 0 through 9. The ten zones are paired off into the five "syzygies". Each syzygy adds to nine. When writing the name of each syzygy, the larger number is placed before the smaller and separated with a double colon. E.g., 9::0, 8::1, 7::2, 6::3, 5::4.
Next are the five currents, the blue arrows that point between one syzygy pair to another zone. To ge them, take the smaller number from each syzygy andsubtract it from it'as larger pair. In this example, we have syzygy 7::2. So to find where the current goes: 7 - 2 = 5. A current is drawn from 7::2 to 5.
Last are the gates. To get the gates we take every zone an culminate the number, which is to say we count down to zore from that zone and add these numbers. For example, with zone 5 we count 5, 4, 3, 2, 1, 0. So for zone 5 we have 5 + 4 + 3 + 2 + 1 + 0 which = 15. Now that we know the gate's number is 15, but how do we know which zone to connect 15 to from 5? Because 5 culminates to a number with more than a single digit (15), we now have to plex it. To plex, you simply add each individual digit. So 15 is 1 + 5 which =6. Now we know gate 15 goes from zone 5 to zone 6.
These are the basic building blocks of any #-gram system as well. The important thing when constructing any other #-gram is to remember that all arithmetic must be done in the base of that #-gram. So all the math of the hexagram must be done in base-6, duodecigram base-12, etc.
