Rechts

String theory in physics is still unfortunately a theory but already applied in the mathematics of multidimensional magic squares here.
If in the natural numbers you introduce definition "world" and "antiworld", then these natural numbers fall apart on rotating and swinging strings.

link: Why the model is called Number Galaxy ?

Notes: Graphics shown below are links. Please click on it and scroll down. There are beautiful dynamic graphics shown.

Are there similarities between galaxies, black holes and magic squares?


three-armed galaxy	TM-string and in the center 3D bordered prime magic square	spiral galaxy and black hole

Rotation of prime bordered magic squares in the three dimensions space

In this section of my website I will not present a new mathematical theory in the area of prime numbers, but rather show the results of computer calculations of magic squares of prime numbers in
a different light. It's about the prime numbers that are built into so-called bordered magic squares with the help of AI programming. The prime numbers form the set with the following properties:
p1 + p2 = 2✖c
notic: p1 and p2 - prime numbers, c - middle number as an integer, ✖ multiplication sign.
The computer program builds the magic square from the center of the square outwards. What's very interesting is that the prime numbers built in this way lie on a paraboloid-like surface in a three-
dimensional coordinate system. What does this have in common with the Riemann Zeta function? In the zeta function, all non-trivial zeros lie on the critical line Re = 0,5. Here, the upper function
p1 + p2 = 2✖c can be represented differently, namely: c / (p1+p2) = 0,5.
Visualization of dynamic processes please click on the graphics below, scroll and open the video file in mp4 format.


3D rotation of prime magic square order 29 and non prime magic square order 157	3D rotation of prime magic square order 29 thru 145	3D rotation of prime magic square order 351 and 385


3D rotation of prime magic square order 193, 231 and 255	3D rotation of prime magic square order 453 and 469	3D rotation of prime magic square order 503 and 529

Strings in the simple magic squares in almost polar system

Here on my website, I will not present a new mathematical theory, but rather present the results of computer calculations of magic figures in a different light, based on dynamic
visualization in a system mathematically similar to the polar system. The difference here lies in the introduction of positive and negative area (world and antiworld) in the polar
system. The plotted points in this polar system are connected by one-dimensional lines called splines, very similar to the concept of strings introduced in physics. The examples
presented here of magic squares and cubes with different properties (simple, pandiagonal, bimagic, trimagic) can be computer-decomposed according to the formula:
magic squares (2 dim.): MA = TM✖N + 1 - Z1
magic cubes (3 dim.): (MA = TM✖N + 1 - Z1)✖N + 1 - Z2
magic tesseracts (4 dim.): ((MA = TM✖N + 1 - Z1)✖N + 1 - Z2)✖N + 1 - Z3
magic Hipercube (5 dim.): (((MA = TM✖N + 1 - Z1)✖N + 1 - Z2)✖N + 1 - Z3)✖N + 1 - Z4
magic Hipercube (6 dim.): ((((MA = TM✖N + 1 - Z1)✖N + 1 - Z2)✖N + 1 - Z3)✖N + 1 - Z4)✖N + 1 - Z5
notic: mainmatrix MA, submatrix Z1, Z2, Z3. Z4, Z5, order N, ✖ multiplication sign.
Visualization of dynamic processes here in almost polar system is extraordinary and beautiful. To see them please click on the individual graphic and scroll down.


Z1-string in simple magic squares of order 49	TM-string in inlaid nested simple magic squares of order 51	TM-string in Lou Shu magic squares of order 59

Z1-string in Lou Shu simple magic squares of order 55	TM-string in simple magic squares of order 50	TM-string in simple magic squares of order 30

Z1-string in simple inalid overlapping group 1 squares of order 69	TM-string in simple 2xk magic squares of order 28	TM-string in simple magic squares of order 64

simple magic squares of order 120x10blocks	simple magic squares of order 32x8blocks	simple magic of order 18

concentric simple magic of order 32	simple magic square of order 17	simple magic square of order 22

Strings in the pandiagonal magic squares in almost polar system


TM-string in irregular pandiagonal magic squares of order 29	TM-string in ultramagic pandiagonal squares of order 40	Z1-string in pandiagonal 16k magic squares of order 32

Z1-string in 4*k most perfect panmagic of order 36	Z1-string in pandiagonal Franklin magic squares of order 16	TM-string in inlaid pandiagonal squares of order 48

main configuration of pandiagonal of order 19	pandiagonal ultramagic of order 21	pandiagonal irregular magic squares of order 49

pandiagonal ultramagic of order 33	pandiagonal ultramagic of order 32	pandiagonal ultramagic of order 35

pandiagonal magic square of order 55	pandiagonal magic square of order 24	pandiagonal magic square of order 32

Analyse of pandiagonal irregular magic squares of order 31	pandiagonal magic squares of order 28	TM-string in pandiagonal symmetrics squares of order 19

Analyse all methods of the symmetrics magis squares order 19	pandiagonal magic square of order 12	pandiagonal magic square of order 13

Strings in the bimagic simple squares in almost polar system


TM-string in bimagic simple square of order 40	TM-string in bimagic simple square of order 16	Z1-string in bimagic simple square of order 49

TM-string in bimagic simple square of order 24	TM-string in bimagic simple square of order 20	TM-string in bimagic simple square of order 28

Strings in the bimagic pandiagonal squares in almost polar system


TM-string in bimagic pandiagonal square of order 25	TM-string in bimagic pandiagonal square of order 36	Z1-string in bimagic pandiagonal square of order 32

Strings in the trimagic simple squares in almost polar system


Z1-string in trimagic simple squares of order 12	TM-string in trimagic simple squares of order 16	TM-string in trimagic simple magic squares of order 32


TM-string in trimagic simple magic squares of order 40	TM-string in trimagic simple magic squares of order 48	TM-string in trimagic simple magic squares of order 81

Strings in the simple magic cubes in almost polar system


simple magic cube of order 7	simple magic cube of order 16	simple magic cube of order 24

Strings in the perfect magic cubes in almost polar system


perfect magic cube of order 8	perfect magic cube of order 9	perfect magic cube of order 19

Strings in the bimagic simple cubes in almost polar system


bimagic simple cube of order 16	bimagic simple cube of order 25	bimagic simple cube of order 32

Transformation magic squares in to magic cubes - strings in almost polar system


panmagic cube of order 13	panmagic cube of order 17	panmagic cube of order 31

The biggest collection of examples and methods for construction of multidimensional magic squares