A tributary world when numbers and forms are powerful archetypes

 

	representation of number 7	representation of square numbers 4, 9, 16	representation of triangular numbers 3, 6, 10	representation of rectangular numbers 6, 8, 12
	First numbers and linearity	Square numbers	triangular numbers	rectangular numbers
1	1
2	2
3	3		1+2= 3
4	.	2x2= 4	.	.
5	5	..	.	.
6	.	.	1+2+3= 6	2x3= 6
7	7	.	.	.
8	.	.	.	2x4= 8
9		3x3= 9
10			1+2+3+4= 10
11	11
12				3x4 ou 6x2= 12
13	13
14				7x2= 14
15			1+2+3+4+5=15	5x3= 15
16		4x4= 16
17	17
18				6x3 ou 9x2= 18
19	19
20				5x4 ou 10x2= 20
21			1+2+3+4+5+6= 21	7x3= 21
22				11x2= 22
23	23
24				8x3= 24
25		5x5= 25

 

Comments

The results of this table show that certain forms can only be visualized by certain numbers.
- All the whole numbers can be representated in a linear way which emphasized the supremacy of the 1.
- The 1 and the 2 are the first components numbers that constitute a triangular form.
- The 2 is the unique first number which is pair.
- With the exception of 3, the first numbers wil only tolerate linearity.

- 4 is the first square number.
- 6 is a number that is both triangular and rectangular.
- 8 is the first of the series of rectangular numbers that are not triangular.

By additioning two consecutive triangular numbers, we get square numbers ( 3+6=9) - (6+10=16)...
These models representating forms which have been emphasized by pythagoreans since a long time ago are simple images that structured a visual numerical field of an infinite complexity.

The first behaviours of matter are due to the electrons revolving around the atom's outermost shell that give us the values of whole numbers. Numbers are a relationship of identity which was established at the beginning of the formation of matter. Is this relationship of identity through numbers, the first element of universal conciousness that runs through the universe?

triangular