Golden Spiral. Higgs mechanism ®. Alchemy.

T H E G O D S A N D B O O K O F D E A D A N C I E N T E G Y P T A N D B O O K O F L I V I N G M O D E R N T O R U S

-=^=-
GoD

G O L D E N S P I R A L

Approximate logarithmic spirals can occur in nature, for example the arms of spiral galaxies - golden spirals are one special case of these logarithmic spirals, although there is no evidence that there is any general tendency towards this case appearing. Phyllotaxis is connected with the golden ratio because it involves successive leaves or petals being separated by the golden angle; it also results in the emergence of spirals, although again none of them are (necessarily) golden spirals. It is sometimes stated that spiral galaxies and nautilus shells get wider in the pattern of a golden spiral, and hence are related to both φ and the Fibonacci series. In truth, spiral galaxies and nautilus shells (and many mollusk shells) exhibit logarithmic spiral growth, but at a variety of angles usually distinctly different from that of the golden spiral. This pattern allows the organism to grow without changing shape.

Platonic solid

FIRE	AIR	WATER	EARTH	AETHER	In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids meet these criteria.

		3			6			9
60° 3*60=180	60° 3*60=180	602=120 603=180 604=240 605=300 606=360 607=420 608=480 609=540 60° 360=180 1802=360 1803=540 1804=720 1805=900 1806=1080 1807=1260 1808=1440 1809=1620 18010=1800 18011=1980 18012=2160	902=180 903=270 904=360 905=450 906=540 907=630 908=720 909=810 90° 490=360 3602=720 3603=1080 3604=1440 3605=1800 3606=2160 3607=2520 3608=2880 360*9=3240	1082=216 1083=324 1084=432 1085=540 1086=648 1087=756 1088=864 1089=972 108° 5108=540 5402=1080 5403=1620 5404=2160 5405=2700 5406=3240 5407=3780 5408=4320 540*9=4860	1202=240 1203=360 1204=480 1205=600 1206=720 1207=840 1208=960 1209=1080 120° 6120=720 7202=1440 7203=2160 7204=2880 7205=3600 7206=4320 7207=5040 7208=5760 720*9=6480	128,571° 7*128,571=899,99	1352=270 1353=405 1354=540 1355=675 1356=810 1357=945 1358=1080 1359=1215 135° 8135=1080 10802=2160 10803=3240 10804=4320 10805=5400 10806=6480 10807=7560 10808=8640 1080*9=9720	1402=280 1403=420 1404=560 1405=700 1406=840 1407=980 1408=1120 1409=1260 140° 9140=1260 12602=2520 12603=3780 12604=5040 12605=6300 12606=7560 12607=8820 12608=10080 1260*9=11340
Tetrahedron Vertex 3.3.3 FIRE 4 FACES 4 POINTS 6 EDGES 180°*4=720°	Octahedron Vertex 3.3.3.3 AIR 8 FACES 6 POINTS 12 EDGES 180°*8=1440°	Icosahedron Vertex 3.3.3.3.3 WATER 20 FACES 12 POINTS 30 EDGES 180°*20=3600°	Hexahedron Vertex 4.4.4 EARTH 6 FACES 8 POINTS 12 EDGES 360°*6=2160°	Dodecahedron Vertex 5.5.5 AETHER 12 FACES 20 POINTS 30 EDGES 540°*12=6480°	D U A L P O L Y H E D R A

P E R F E C T N U M B E R

In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself.
For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number.

The sum of divisors of a number, excluding the number itself, is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum.

For instance, 28 is perfect as 1 + 2 + 4 + 7 + 14 + 28 = 56 = 2 * 28.

Euclid proved that 2^p-1(2^p-1) is an even perfect number whenever 2^p-1 is prime.
For example, the first four perfect numbers are generated by the formula 2^p-1(2^p-1), with p a prime number, as follows:

for p = 2: 2¹(2² - 1) = 2 * 3 = 6
for p = 3: 2²(2³ - 1) = 4 * 7 = 28
for p = 5: 2⁴(2⁵ - 1) = 16 * 31 = 496
for p = 7: 2⁶(2⁷ - 1) = 64 * 127 = 8128

Owing to their form, 2^p-1(2^p - 1), every even perfect number is represented in binary form as p ones followed by p - 1 zeros.
For example,

6₁₀ = 2² + 2¹ = 110₂
28₁₀ = 2⁴ + 2³ + 2² = 11100₂
496₁₀ = 2⁸ + 2⁷ + 2⁶ + 2⁵ + 2⁴ = 111110000₂
8128₁₀ = 2¹² + 2¹¹ + 2¹⁰ + 2⁹ + 2⁸ + 2⁷ + 2⁶ = 1111111000000₂

42
/ \
2     21
/       / \
2      3      7

42
/ \
6      7
/ \      \
2      3      7

n=2 => x = 1³ + 3³ = 28
n=3 => x = 1³ + 3³ + 5³ = 153
n=4 => x = 1³ + 3³ + 5³ + 7³ = 496
n=5 => x = 1³ + 3³ + 5³ + 7³ + 9³ = 1225
n=6 => x = 1³ + 3³ + 5³ + 7³ + 9³ + 11³ = 2556
n=7 => x = 1³ + 3³ + 5³ + 7³ + 9³ + 11³ + 13³ = 4753
n=8 => x = 1³ + 3³ + 5³ + 7³ + 9³ + 11³ + 13³ + 15³ = 8128

n=64 => x = 1³ + 3³ + 5³ + 7³ + 9³ + 11³ + 13³ + 15³ + ... + = 33 550 336

3D MIRROR IN MATH

$Shouts of FITO technology.$

POSITIVE SPHERA   |   NEGATIVE SPHERA

maximum Positive : 6 * 2 = 12 | maximum Negative : 6 * 2 = 12

   1,1,2,3,5,8,4,3,7,1,8,9,   |   8,8,7,6,4,1,5,6,2,8,1,9,..
12   |   21
12 * 2 = 24   |   21 * 2 = 42
4 + 4 + 4 + 12 = 24   |   42 = 6 * 7

BOW

1,1,2,3,5,8,4,3,7,1,8,9, 8,8,7,6,4,1,5,6,2,8,1,9,..
1+1+2+3+5+8+4+3+7+1+8+9+8+8+7+6+4+1+5+6+2+8+1+9=117 => 1+1+7=9

BEGIN IN G
12   |   21

1
1
2
3
5
8
13 => 1+3=4
21 => 2+1=3
34 => 3+4=7
55 => 5+5=10 => 1+0=1
89 => 8+9=17 => 1+7=8
144 => 1+4+4=9

233 => 2+3+3=8
377 => 3+7+7=17 => 1+7=8
610 => 6+1+0=7
987 => 9+8+7=24 => 2+4=6
1597 => 1+5+9+7=22 => 2+2=4
2584 => 2+5+8+4=19 => 1+9=10 => 1+0=1
4181 => 4+1+8+1=14 => 1+4=5
6765 => 6+7+6+5=24 => 2+4=6
10946 => 1+0+9+4+6=20 => 2+0=2
17711 => 1+7+7+1+1=17 => 1+7=8
28657 => 2+8+6+5+7=28 => 2+8=10 => 1+0=1
46368 => 4+6+3+6+8=27 => 2+7=9

75025 => 7+5+0+2+5=19 => 1+9=10 => 1+0=1
121393 => 1+2+1+3+9+3=19 => 1+9=10 => 1+0=1
196418 => 1+9+6+4+1+8=29 => 2+9=11 => 1+1=2
317811 => 3+1+7+8+1+1=21 => 2+1=3
514229 => 5+1+4+2+2+9=23 => 2+3=5
832040 => 8+3+2+0+4+0=17 => 1+7=8
1346269 => 1+3+4+6+2+6+9=31 => 3+1=4
2178309 => 2+1+7+8+3+0+9=30 => 3+0=3
3524578 => 3+5+2+4+5+7+8=34 => 3+4=7
5702887 => 5+7+0+2+8+8+7=37 => 3+7=10 => 1+0=1
9227465 => 9+2+2+7+4+6+5=35 => 3+5=8
14930352 => 1+4+9+3+0+3+5+2=27 => 2+7=9

24157817 => 2+4+1+5+7+8+1+7=35 => 3+5=8
39088169 => 3+9+0+8+8+1+6+9=44 => 4+4=8
63245986 => 6+3+2+4+5+9+8+6=43 => 4+3=7
102334155 => 1+0+2+3+3+4+1+5+5=24 => 2+4=6
165580141 => 1+6+5+5+8+0+1+4+1=31 => 3+1=4
267914296 => 2+6+7+9+1+4+2+9+6=46 => 4+6=10 => 1+0=1
433494437 => 4+3+3+4+9+4+4+3+7=41 => 4+1=5
701408733 => 7+0+1+4+0+8+7+3+3=33 => 3+3=6
1134903170 => 1+1+3+4+9+0+3+1+7+0=29 => 2+9=11 => 1+1=2
1836311903 => 1+8+3+6+3+1+1+9+0+3=35 => 3+5=8
2971215073 => 2+9+7+1+2+1+5+0+7+3=37 => 3+7=10 => 1+0=1
4807526976 => 4+8+0+7+5+2+6+9+7+6=54 => 5+4=9

-13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
233, -144, 89, -55, 34, -21, 13, -8, 5, -3, 2, -1, 1, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233

1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 9, 8
1, -1, 2, -3, 5, -8, 4, -3, 7, -1, 8, -9, 8

2, 0, 4, 0, 1, 0, 8, 0, 5, 0, 7, 0
2 4 1 8 5 7

O S I R I S

Press for swim..
click

R A