A Pattern of Numbers
I'm not entirely sure what this is. Only that it has been stuck in my head for close to 15 years now.
This will probably grow.
The 1 and the 7 are the stick and the angle respectively. The 4 combines the stick and the angle- the 1 and 7 are prime, the 4 is not.
The 2 hooks the top, crossing the bottom and the 5 hooks the bottom, crossing the top. The 8 encircles both- the 2 and 5 are prime, the 8 is not.
The 6 circles the bottom and hooks the top and the 9 circles the top and hooks the bottom. The 3 hooks the top and bottom- 3 is prime, while 6 and 9 are not.
In numerology, the "root" of a number is found by adding all of it's digits, if this results in a number with more than one digit, these are then added until you get a single digit- this is the numerological root.
When we start looking at the patterns of multiplication, it gets kind of interesting- the 2 times table is a nice checker board.
The 3 times table is the whole last column and, of course, it also contains the 6s and 9s- the 6s are all the even ones and the 9s are the ones whose "root" is 9.
Here we have the 5 times table. Note that as it bounces through each column, it hits on each root cyclically,albeit in a different order: 1-7-4, 5-2-8 and 6-3-9.
The 5 times table is fun because you can do it in your head- the "root 9" at the end of the table is from 45- from there it goes 5 (50), 1 (55), 6 (60), 2 (65), 7 (70), 3 (75), 8 (80), 4 (85) and back to 9 (90).
Higher Primes and Their Multiples
This is when I dug a little deeper (or perhaps went off the rails), when I coloured all the multiples of the lower numbers and found a pattern in the "holes". In the table, the + numbers at the top of each column is what was added to the previous number to get the number shown.
| Looking at each of the columns, I noticed 2 striking things:|
1. all the numbers in a given column end in the same digit
The other thing to note about this overall set is that it contains only primes and multiples of other numbers in the set.