# 7. Multiplications

So we come to our first number sequence and our first female pattern. If we simply start counting, always increasing the last digit in the sequence by 1 we create our 1 times table.
1 2 3 4 5 6 7 8 9 10
but when we get to 10 we implode the number to 1 and if we continue from 1 we are only going to repeat what has already gone 10 becomes a 1, 11 implodes to a 2, 12 implodes to a 3 and so on.

This can be drawn in a circle similar to the Marko Rodin symbol.

We put the 9 at the top as this acts similar to zero and is where every thing starts. we continue counting clockwise.

Notice that the numbers either side of the 9 add to 9 (1 and 8) then (2 and 7) then (3 and 6) and at the bottom (4 and 5). There are other points worthy of note but we will come back to them.

Now lets look at the 2 times table (adding 2 to the last number in the sequence) we will be imploding the sequence as we go so when we get to 8 add 2 we will only be using the female answer.
2 4 6 8 1 3 5 7 9
After the 9 the whole sequence will repeat, this sequence we can also draw in a circle.

Again we notice that if we draw an imaginary line vertically down the centre all opposite pairs of numbers total 9.

Now we are going to look at the 3 times table, so starting with 3 we are going to continuously add 3 we get a male pattern of
3 6 9 12 15 18 21 24 27
If we implode the sequence we get
3 6 9 3 6 9 3 6 9
This pattern repeats every three numbers
3 6 9
Where as the two previous patterns repeated after nine numbers, for now just note that its pattern is 3 times shorter.

The four times table has a female pattern that looks like this
4 8 3 7 2 6 1 5 9
This can also be drawn in a circle

Once again we notice that if we draw an imaginary line vertically down the centre all opposite pairs of numbers total 9.

Lets look at the female pattern of the 5 times table
5 1 6 2 7 3 8 4 9
This pattern is just a repeat of the previous 4 times table but in reverse , lets draw it in a circle and it should be clear,

If I go clockwise I have my 5 times table but if I go anticlockwise I get my 4 times table. both the 4 and 5 times table are just mirrors of each other.

The female pattern for the 6 times table is
6 3 9
just like the 3 times table it repeats every 3 numbers in fact its just the revers of the 3 times table. Again we will be coming back to take a closer look at the 3 and 6 but for now just take note that its pattern is 3 times shorter

Just like the 5 was a mirror of 4 and 6 was a mirror of 3, the 7 times table is just a mirror of the 2 times table, its female pattern is
7 5 3 1 8 6 4 2 9
Its easier to see in a circle

You are probably seeing a pattern and if you are expecting the 8 times table to be the reverse a of a previous pattern you are right.
The 8 times table is the mirror  of the 1 times table, its female pattern looks like this.
8 7 6 5 4 3 2 1 9
and in a circle