Fibonacci
Successione di Fibonacci
Why
Leonardo Pisano
(1170 – 1250)
→
Fibonacci
?
Fibonacci
=
filius (son of)
Bonacci.
.
It's a nickname.
Bonacci = lucky, natural, simple
Bon nacci = Good luck
Bòn = buon = wonderful
Nacci* = Nature?
Nacci = NeTeR . NeTeRs?
Nacci = the Net = the Matrix?
The huge time gap:
The "Extreme and mean ratio"
a.k.a
the Golden Ratio
a.k.a
Φ
was first described
in Euclid's Elements
around 300 BC.
.
But
Fibonacci sequence
was first presented in
Liber Abaci
in 1202.
.
1500 years later...
.
"The sequence had been described
by Indian mathematicians as early
as the sixth century..."
.
Anybody, in a period of 1500 years,
who happened to have some
leisure to... count?
let's say appreciate
"the branching patterns in trees,
the arrangement of leaves on a stem,
the spirals in a sunflower,
the sections of a pineapple,
the arrangement of flower petals,
the spirals of bracts in a pinecone,
the flowering of an artichoke,
the distribution of seeds in a raspberry..."
could have discovered the
"Fibonacci" sequence
before Fibonacci.
.
We know people of the past
did have a much stronger,
intuitive and amazing connection
with Nature.
.
And rabbits? Why?
.
"Rabbits typically have litters
of five babies instead of two*."
"In the Liber Abaci,
Fibonacci introduced
the so-called modus Indorum
(method of the Indians),
today known as the
• Hindu–Arabic numeral system,
with
• ten digits
including a
• zero
and
• positional notation."
.
p.s.
Why Arabic numbers?
Why does zero look like 0?
Why does one look like 1?
Why does two look like 2?
Why does three look like 3?
Why does four look like 4?
Why does five look like 5?
Why does six look like 6?
Why does seven look like 7?
Why does eight look like 8?
Why does nine look like 9?
Φ
The Golden Ratio
Transcendental Irrational number
- Liṅga लिङ्ग
- Djed in Ankh
- Ouroboros (Chrysopoeia of Kleopatra)
- Mito-chondria
- Torus energy field
Φ² = ❤️
Φ² = Φ + 1
🤯 🫠
.
Related:
Square root
L😪VE
Φ . e
Out of curiosity, I searched Fibonacci
and Euler number.
This is the only one I checked
because it seemed not too over my head.
Please see a Quora page.
Answer by Klaus Hauptfleisch
.
Φ ≈ √e
🤯 🫠
Φ . π
Out of curiosity, I searched Fibonacci and π.
4 divided by square root of Φ is
almost exactly equal to π.
.
And this is related to the geometry of
the Great Pyramid of Giza.
Pyra-mid. Pyra is fire.
Fire is offen associated with 4.
.
More interesting? examples
listed in that article.
.
π is a Gate.
Not only Φ and π,
researchers have found
the connections of
Foot, Cubit, and Metre are
ingrained in the divina proportione
of the Great Pyramid.
.
Φ . Eye of Horus
"the different parts of the Eye of Horus
symbol are often represented by fractions
that are powers of two (1/2, 1/4, 1/8, 1/16,
1/32, 1/64), which when added together,
closely approximate the Golden Ratio value
of Phi (approximately 1.618)..."
π . e
(π x 2/3) + (e x 1/3) =
3
🤯 🫠
.
(π x 2/3) x (e x 1/3) =
3.6^.5 (360°)
Exponential:
Visualization of
Fibonacci sequence
.
Visualization of
Euler numbers
.
Related:
Magi's hat
Why rabbits?
- Follow the rabbit
(Alice in Wonderland)
- Rabbit hole
- Easter bunny
- Moon rabbit (Maya, China)
- Playboy
- Red eyes
- HPV rabbit
- Fibonacci (numbers)
Phi, φ, "dictates natural, spiral-
based exponential growth".
- Rabbit is often associated with the
concept of fertility, e.g. Easter egg.
Moon rabbit pounding a mortar and
pestle → Liṅga → sexual innuendo
- Sacred symbol in ancient Egypt
linked to Moon and cycles of life.
The symbol for the hare known
as Un or Wenen which sounds like 玉
(jade) which is the rabbit's name
in "Chinese" folklore. Maya people
also revered jade as a sacred stone.
Rabbit
Drawn by Edward Leedskalnin.
He was able to see the
magnetic current
according to himself.
.
Related:
S🧲BTLE . Sub-tone
* Two
2 Fibonacci sequences.
2 Golden spirals.
Heart!
.
2 Fibonacci sequences.
2 Golden spirals.
Yin and Yang wheeling.
1 + 1 > 2
1 + 1 = ∞
.
Please kindly note that
each spiral contains
spirals of an infinite number.
Every one of which contains
even smaller spirals
to the infinity -
the Net!
(Self-similarity, Fractals, Recursion)
.
The secret of
Nature
?
The secret of
Creation
?
~ Successione ~
di
Fibonacci!
.
Φ
.
May I ask
who designed this symbol?
A whiff of
sexual innuendo
in the air?
.
Related:
Mirror
H-eart . Eart-h
Double . DARPA . Doppelgänger
Asexual . Sexual
Asexual reproduction
Sexual reproduction
Time lag
Secretion . Sacred
Oxytocin
Sexagesimal
Sacred Geometry
Spiral
.
Dio-gree
Ra-dius . Rex Deus
Angle . Angel
.
East/West Longitude
North/South Latitude
.
Frequency wave
.
Time
.
Music
"In music theory, the scale degree...
.
Sexagesimal - Quadrivium
.
Sexagesimal kind of predicts
the Space Time Continuum.
.
Sexagesimal kind of proves
that time cycles.
.
Sumerian numerical system
* Nacci
Yo me
ain't liking
Conspiracy theories
either :)
But I can't help thinking about
the rumors about Nazi.
They are in the Antarctica?
They are on the Moon?
.
Other than the atrocities,
they burned the "bridges".
.
Please kindly consider a
somehow connected subject:
the Swastika.
It is an auspicious and
sacred symbol for many ancient
cultures and religions.
"The word swastika comes from the
Sanskrit word svastika, which means
conducive to well-being".
And it is wheeling.
.
Related:
Operation Highjump
Operation Paperclip
Standard tuning of 444 Hz
Vril
.
Why 🌙 Moon?
Code Mimics Life
Symbiosis:
Fibonacci sequence (A + B)
.
Binary + Symbiosis:
Cellular Automata (Black + White)
.
From
Fibonacci sequence
to
Cellular Automata
to
A New Kind of Science
to predict everything
in the universe.
.
Math is numbers.
The ultimate form of "abstraction".
.
How do humen use
Math to mimic Life?
Life needs:
- Input and Output
- Rules
- Loops(recursions)
.
Actually Math is Life
because Math is Drawing:)
Because Energy is Drawing.
A + B or Black + White
is like input and output.
Both Fibonacci sequence and
Cellular automata follow
certain rules in loops =
A self-generating system.
.
A self-growing Net(Matrix).
One of the Nets of numbers.
.
Life?
So Life (growing) is like
calculation (Fibonacci sequence)
or computation (Cellular automata).
.
The calculation/computation
keeps the net(matrix) growing.
Thus Math can predict future
or the unknown.
.
But growing/generating by what rules?
Both are based on "Symbiosis".
Plus sign. A cross.
Yin and Yang.
And the offspring.
The "rule of Three".
.
Wait... Symbiosis?
Suppose plus sign means
cooperation. And magic(emergence)
is spontaneously generated
in both systems. 1 + 1 > 2
.
- Fibonacci sequence
Rules spotted by the observation of Nature.
- Cellular automata
All kinds of possibilities (Probability wave)
.
Math is Drawing
- To calculate
Writing is drawing.
Calculation formula(form)
is a drawing.
- To compute
Signals drawing on multi-
dimensional grids(matrix, net).
Grid is Geometry.
.
To see a pattern in chaos
is the holy grail in Math.
Pattern is Geometry.
Math is Geometry.
.
p.s.1
For a self-generating system
like Fibonacci sequence or
Cellular automata, to "visualize"
is to shine! Truly shine!
To visualize is to draw.
To draw is to "see".
Geometry, symbols and signs
are the universal language.
.
To visualize
- Fibonacci sequence:
Nature, Golden spiral, and Golden rectangles.
- Cellular automata:
256 2D space-time diagrams.
.
p.s.2
The above are just some notes.
Just saying~ "Vegetables" in
Taiwanese. (青菜啦) 🥬🫠
WhyLeonardo Pisano
(1170 – 1250)
→
Fibonacci
?
Fibonacci=
filius (son of)
Bonacci.
.
It's a nickname.
Bonacci = lucky, natural, simpleBon nacci = Good luck
Bòn = buon = wonderful
Nacci* = Nature?Nacci = NeTeR . NeTeRs?
Nacci = the Net = the Matrix?
The huge time gap:The "Extreme and mean ratio"
a.k.a
the Golden Ratio
a.k.a
Φ
was first described
in Euclid's Elements
around 300 BC.
.
But
Fibonacci sequence
was first presented in
Liber Abaci
in 1202.
.
1500 years later...
.
"The sequence had been described
by Indian mathematicians as early
as the sixth century..."
.
Anybody, in a period of 1500 years,
who happened to have some
leisure to... count?
let's say appreciate
"the branching patterns in trees,
the arrangement of leaves on a stem,
the spirals in a sunflower,
the sections of a pineapple,
the arrangement of flower petals,
the spirals of bracts in a pinecone,
the flowering of an artichoke,
the distribution of seeds in a raspberry..."
could have discovered the
"Fibonacci" sequence
before Fibonacci.
.
We know people of the past
did have a much stronger,
intuitive and amazing connection
with Nature.
.
And rabbits? Why?
.
"Rabbits typically have litters
of five babies instead of two*."
"In the Liber Abaci,Fibonacci introduced
the so-called modus Indorum
(method of the Indians),
today known as the
• Hindu–Arabic numeral system,
with
• ten digits
including a
• zero
and
• positional notation."
.
p.s.
Why Arabic numbers?
Why does zero look like 0?
Why does one look like 1?
Why does two look like 2?
Why does three look like 3?
Why does four look like 4?
Why does five look like 5?
Why does six look like 6?
Why does seven look like 7?
Why does eight look like 8?
Why does nine look like 9?
ΦThe Golden Ratio
Transcendental Irrational number
- Liṅga लिङ्ग
- Djed in Ankh
- Ouroboros (Chrysopoeia of Kleopatra)
- Mito-chondria
- Torus energy field
Φ² = ❤️Φ² = Φ + 1
🤯 🫠
.
Related:
Square root
L😪VE
Φ . eOut of curiosity, I searched Fibonacci
and Euler number.
This is the only one I checked
because it seemed not too over my head.
Please see a Quora page.
Answer by Klaus Hauptfleisch
.
Φ ≈ √e
🤯 🫠
Φ . πOut of curiosity, I searched Fibonacci and π.
4 divided by square root of Φ is
almost exactly equal to π.
.
And this is related to the geometry of
the Great Pyramid of Giza.
Pyra-mid. Pyra is fire.
Fire is offen associated with 4.
.
More interesting? examples
listed in that article.
.
π is a Gate.
Not only Φ and π,researchers have found
the connections of
Foot, Cubit, and Metre are
ingrained in the divina proportione
of the Great Pyramid.
.
Φ . Eye of Horus
"the different parts of the Eye of Horus
symbol are often represented by fractions
that are powers of two (1/2, 1/4, 1/8, 1/16,
1/32, 1/64), which when added together,
closely approximate the Golden Ratio value
of Phi (approximately 1.618)..."
π . e(π x 2/3) + (e x 1/3) =
3
🤯 🫠
.
(π x 2/3) x (e x 1/3) =
3.6^.5 (360°)
Exponential:Visualization of
Fibonacci sequence
.
Visualization of
Euler numbers
.
Related:
Magi's hat
Why rabbits?- Follow the rabbit
(Alice in Wonderland)
- Rabbit hole
- Easter bunny
- Moon rabbit (Maya, China)
- Playboy
- Red eyes
- HPV rabbit
- Fibonacci (numbers)
Phi, φ, "dictates natural, spiral-
based exponential growth".
- Rabbit is often associated with the
concept of fertility, e.g. Easter egg.
Moon rabbit pounding a mortar and
pestle → Liṅga → sexual innuendo
- Sacred symbol in ancient Egypt
linked to Moon and cycles of life.
The symbol for the hare known
as Un or Wenen which sounds like 玉
(jade) which is the rabbit's name
in "Chinese" folklore. Maya people
also revered jade as a sacred stone.
Rabbit
Drawn by Edward Leedskalnin.He was able to see the
magnetic current
according to himself.
.
Related:
S🧲BTLE . Sub-tone
* Two
2 Fibonacci sequences.2 Golden spirals.
Heart!
.
2 Fibonacci sequences.2 Golden spirals.
Yin and Yang wheeling.
1 + 1 > 2
1 + 1 = ∞
.
Please kindly note that
each spiral contains
spirals of an infinite number.
Every one of which contains
even smaller spirals
to the infinity -
the Net!
(Self-similarity, Fractals, Recursion)
.
The secret of
Nature
?
The secret of
Creation
?
~ Successione ~
di
Fibonacci!
.
Φ
.
May I ask
who designed this symbol?
A whiff of
sexual innuendo
in the air?
.
Related:
Mirror
H-eart . Eart-h
Double . DARPA . Doppelgänger
Asexual . SexualAsexual reproduction
Sexual reproduction
Time lag
Secretion . Sacred
Oxytocin
SexagesimalSacred Geometry
Spiral
.
Dio-gree
Ra-dius . Rex Deus
Angle . Angel
.
East/West Longitude
North/South Latitude
.
Frequency wave
.
Time
.
Music
"In music theory, the scale degree...
.
Sexagesimal - Quadrivium
.
Sexagesimal kind of predicts
the Space Time Continuum.
.
Sexagesimal kind of proves
that time cycles.
.
Sumerian numerical system
* NacciYo me
ain't liking
Conspiracy theories
either :)
But I can't help thinking about
the rumors about Nazi.
They are in the Antarctica?
They are on the Moon?
.
Other than the atrocities,
they burned the "bridges".
.
Please kindly consider a
somehow connected subject:
the Swastika.
It is an auspicious and
sacred symbol for many ancient
cultures and religions.
"The word swastika comes from the
Sanskrit word svastika, which means
conducive to well-being".
And it is wheeling.
.
Related:
Operation Highjump
Operation Paperclip
Standard tuning of 444 Hz
Vril
.
Why 🌙 Moon?
Code Mimics LifeSymbiosis:
Fibonacci sequence (A + B)
.
Binary + Symbiosis:
Cellular Automata (Black + White)
.
From
Fibonacci sequence
to
Cellular Automata
to
A New Kind of Science
to predict everything
in the universe.
.
Math is numbers.
The ultimate form of "abstraction".
.
How do humen use
Math to mimic Life?
Life needs:
- Input and Output
- Rules
- Loops(recursions)
.
Actually Math is Life
because Math is Drawing:)
Because Energy is Drawing.
A + B or Black + White
is like input and output.
Both Fibonacci sequence and
Cellular automata follow
certain rules in loops =
A self-generating system.
.
A self-growing Net(Matrix).
One of the Nets of numbers.
.
Life?
So Life (growing) is like
calculation (Fibonacci sequence)
or computation (Cellular automata).
.
The calculation/computation
keeps the net(matrix) growing.
Thus Math can predict future
or the unknown.
.
But growing/generating by what rules?
Both are based on "Symbiosis".
Plus sign. A cross.
Yin and Yang.
And the offspring.
The "rule of Three".
.
Wait... Symbiosis?
Suppose plus sign means
cooperation. And magic(emergence)
is spontaneously generated
in both systems. 1 + 1 > 2
.
- Fibonacci sequence
Rules spotted by the observation of Nature.
- Cellular automata
All kinds of possibilities (Probability wave)
.
Math is Drawing
- To calculate
Writing is drawing.
Calculation formula(form)
is a drawing.
- To compute
Signals drawing on multi-
dimensional grids(matrix, net).
Grid is Geometry.
.
To see a pattern in chaos
is the holy grail in Math.
Pattern is Geometry.
Math is Geometry.
.
p.s.1
For a self-generating system
like Fibonacci sequence or
Cellular automata, to "visualize"
is to shine! Truly shine!
To visualize is to draw.
To draw is to "see".
Geometry, symbols and signs
are the universal language.
.
To visualize
- Fibonacci sequence:
Nature, Golden spiral, and Golden rectangles.
- Cellular automata:
256 2D space-time diagrams.
.
p.s.2
The above are just some notes.
Just saying~ "Vegetables" in
Taiwanese. (青菜啦) 🥬🫠