# 8. Polar Pairs

Throughout vortex math we come across polar pairs. these are pairs of numbers that total nine.
If we take 9 as being the whole, there are four ways to split 9 into two whole numbers.
1 and 8
2 and 7
3 and 6
4 and 5
These are the polar pairs and keeping track of them as we go will reveal some fascinating symmetries.

lets have a look at the male 9 times table
9
18
27
36
45
54
63
72
81
90
Notice the 9 times table produces nothing but polar pairs and if we continue
99
108 we can take the first two digits and implode them 10>)1 that gives us 1 and 8 a polar pair
117 we can take the first two digits and implode them 11>)2 that gives us 2 and 7 a polar pair
126  we can take the first two digits and implode them 12>)3 that gives us 3 and 6 a polar pair
We can do this to infinity always leaving the last digit and imploding the remaining digits will always produce a polar pair.

When we made circles out of our multiplication tables we found that polar pair were always opposite.

Lets compare the 1 and 8 times table
1 2 3 4 5 6 7 8 9
8 7 6 5 4 3 2 1 9
Every step creates polar pairs, its the same if we compare the 2 and 7 times table.
2 4 6 8 1 3 5 7 9
7 5 3 1 8 6 4 2 9
Polar pairs again and if we compare 4 and 5 times table we get the same again.
4 8 3 7 2 6 1 5 9
5 1 6 2 7 3 8 4 9

Now lets look at the 3 and 6 times table.
3 6 9
6 3 9
The 3 and 6 are unique for many reasons, one of the reasons is that they are the only Polar Pair to be in the same family member group.

What’s a family member? lets take a look.