Lmst

Eine meiner ersten Übungen zum Thema #Focusstack im Jahr 2019.
Die Oberfläche eines #Romanescu - #Blumenkohl ist bedeckt mit spiralförmig angeordneten Gnubbeln auf denen sich spiralförmig angeordnete Gnubbel befinden auf denen ....
#Gemüse #mft #Fibonacci

Die grüne Oberfläche eines Romanescu-Blumenkohl ist bedeckt mit spiralförmig angeordneten Auswüchsen die sich in einem mathematischen Muster immer mehr verkleinern.

Leonardo Pisano (c.1170–after 1240), dubbed ‘Fibonacci’, thought that Archimedes' proof that π was between $3\frac{10}{71}$ and $3\frac{1}{7}$ was beautiful [pulcra].

Archimedes' proof proceeds by calculating approximate ratios of the perimeters of 96-gons circumscribed about and inscribed in a circle to the diameter of that circle, implicitly starting with dodecagons and repeatedly bisecting edges to obtain 24-, 48-, and then 96-gons (see attached image).

Fibonacci’s judgement seems to be the earliest extant description of a *proof* as beautiful in the European tradition. [Al-Nasawī (fl. 1029–44) had earlier described a proof as beautiful.]

But there is a twist in the story...

1/3

#MathematicalBeauty #BeautifulProof #HistMath #Fibonacci #Archimedes #Pi

Diagrams comparing a circle and 12-, 24-, 48-, and 96-gons inscribed and circumscribed about it. The 96-gons are barely distinguishable from circles.

Prone to Resonance Found Sounds Broadcast 23. As a result of technical difficulties the No Talk Version is open to everyone this time:

https://www.patreon.com/posts/150090054

#fieldrecording #sounddesign #fibonacci #utrecht #rotterdam #thehague

Full moon shining through a halo of neon-light around a church tower

#collage #abstrait #minimalisme #Fibonacci #écriture manuscrite #carré

collage sur carré blanc. 3 bandes verticales composées chacune de 3 niveaux : en bas du texte manuscrit illisible à l'encre pâlie, au milieu du texte manuscrit d'une autre écriture collé verticalement, en haut des languettes de pages roussies collées horizontalement. Pour chaque niveau les hauteurs sont calculées selon la suite de Fibonacci.

🥦 Mathematik zum Essen! 🔢🌱
Selten sind Fraktale, Selbstähnlichkeit und die logarithmischen Spiralen der Fibonacci-Folge so zum Anbeißen 😋😅

#Romanesco #Fraktale #Fibonacci #MathematikZumEssen #Naturdesign #KücheUndKosmos

Gedämpfter Romanesco in einer Keramikschüssel, grün leuchtend, mit deutlich sichtbaren fraktalen Spiralen der einzelnen Röschen; aufsteigender Dampf, warmes Seitenlicht.
Foto: Gartenpoet, Johann Seidl

Nahaufnahme: Gedämpfter Romanesco in einer Keramikschüssel, grün leuchtend, mit deutlich sichtbaren fraktalen Spiralen der einzelnen Röschen; aufsteigender Dampf, warmes Seitenlicht.
Foto: Gartenpoet, Johann Seidl

ArraysOfFibonacci2

Video: https://youtu.be/c0gAYmOKwmA

Blog: https://blog.illestpreacha.com/genuary2026fib2

#Genuary2026 #Genuary #Livecoding #Genuary3 #Fibonacci #Genuary4 #Lowres

ArraysOfFibonacci is coded in #HydraVideoSynth and uses the following Genuary2026 Prompts: Day 3: FIbonacci(Through the movement used in the sketch) and Day 4: Low Res.

#Poetry
Fibonacci sequences
With high frequencies

#creativecoding #coding #animation
#newmedia #pixelation #worldbuilding

Euclid's algorithm for finding the greatest common divisor of two integers has its worst behavior when the input is consecutive Fibonacci numbers. This result is supposedly the first practical application of Fibonacci's sequence. https://en.wikipedia.org/wiki/Euclidean_algorithm#Algorithmic_efficiency #euclid #algorithm #gcd #fibonacci

ArraysOfFibonacci

Video: https://youtu.be/xub9odPtfhQ

Blog: Blog: https://blog.illestpreacha.com/genuary2026fib

#Genuary2026 #Genuary #Livecoding #Genuary3 #Fibonacci #Genuary4 #Lowres

ArraysOfFibonacci is coded in #HydraVideoSynth and uses the following Genuary2026 Prompts: Day 3: FIbonacci(Through the movement used in the sketch) and Day 4: Low Res.

#Poetry
Fibonacci sequences
With high frequencies

#creativecoding #coding #animation
#newmedia #pixelation #worldbuilding

#Fibonacci, #Hegel & #SystemReparatur … Quadrant I Das #Dunkle wird zugelassen, damit das Helle überhaupt erkennbar wird. Quadrant II Doch jedes System kennt eine Toleranzgrenze, an der #Erkenntnis wichtiger wird als Duldung. 🖖

Bildbeschreibung (Deutsch)
Das Bild zeigt einen Moment maximaler Instabilität:
Eine uniformierte Person befindet sich im Fallen, der Körper aus dem Gleichgewicht geraten, die Füße lösen sich vom Boden. Im Vordergrund ist Bewegung eingefroren, während im Hintergrund bewaffnete Akteure stehen, deren Haltung Kontrolle und Eskalation signalisiert.
Über die Szene legt sich eine eingezeichnete Fibonacci-Spirale. Sie kontrastiert die chaotische Situation mit einem universellen Ordnungsprinzip.
Die Spirale lenkt den Blick auf den Kipppunkt des Geschehens - den Moment, in dem ein System seine Toleranzgrenze überschreitet.
Das Bild steht sinnbildlich für die Dialektik:
Das Dunkle wird zugelassen, um erkannt zu werden.
Doch sobald die Grenze überschritten ist, greift das System korrigierend ein.
Gewalt, Ordnung und Erkenntnis stehen hier nicht zufällig nebeneinander, sondern folgen einer tieferen, strukturellen Logik.🖖

#genuary2026, day 3:
Fibonacci forever. Create a work that uses the Fibonacci sequence in some way.

made with #p5js
#genuary3 #genuary #creativecoding #fibonacci #art

For #genuary3, "Fibonacci Forever", I'm recycling an orbit-trap fractal I shared back on Fibonacci Day (11/23, of course). It uses the typical fractal equation z ↦ zⁿ + z₀, but n increases following the Fibonacci sequence with each iteration.

#genuary #genuary2026 #fibonacci #fractal

$Fractal image: A lime-green ring in the center, with rings of increasing fractal distortion underneath, in greens, oranges, and yellows. Thin pink lines fall behind the set of rings.$

#03 Fibonacci Forever.

Chaos or not? For art, architecture and in nature. The Fibonacci numbers always look "nice". And where do you find them here?
Again minimalism with circles having the radius from 1 starting, then 2, 3, 5, 8, ... until the image width is reached. Simple yet satisfying.

It's again inspiring to see all your interpreations of each prompt. Thanks.

#genuary #genart #circle #fibonacci #goldenratio #art #mastoart #fediart #p5js #noai #genuary2026 #code #math #programming #artwork #minimalism #coding #generativeart #generative #artforsale #simplify #creativecoding #chaos

Circles with black strokes randomly on a white surface and they have all the Fibonacci numbers as radius.

The #genuary3 prompt is "Fibonacci Forever".

These images plot successive pairs in the Fibonacci sequence (F_{i}, F_{i+1}) modulo N -- that is, their remainders after division by N. Because mod N there are at most N^2 pairs, each path must close to form a loop, and indeed we can show that the loop comes back to the starting point (0,1).

#Fibonacci #Genuary2026 #Genuary

The Fibonacci sequence modulo 6. Starting from (0,1) we visit (1,1), (1,2) (2,3) (3,5), (5, 2), etc. In this visualization, edges may wrap around the edges of the picture if that produces a shorter line distance.

Tras las comidas pantagruélicas navideñas y los excesos calóricos toca activar la dieta detoxificante verde, y qué mejor que la verdura más matemática que existe: el #romanescu un prodigio natural geométrico repleto de #fractales y de series de #fibonacci
https://amp.rtve.es/television/20210709/desvelada-singular-estructura-geometrica-coliflor-romanesco/2126700.shtml

LightsOfFibonacci

Blog: https://blog.illestpreacha.com/genuary2026lightfibbool

Video: https://youtu.be/aVJxutU1m28

#Genuary2026 #Genuary #Livecoding #Genuary3 #Genuary6 #Genuary7 #lights #Fibonacci #Boolean

LightsOfFibonacci is coded in #LiveCodeLab and uses the following Genuary2026 Prompts: Day 3: FIbonacci(Through the Colors and movement used in the sketch), Day 7: Boolean Algebra(Used in the sequencing of the Sound) and Day 6: Lights On/Off (used in the background of light and dark)

#Poetry

Light On
Light Off
Difference may appear
Sound On
Sound everywhere
Never Off
Fibonacci sequences
With high frequencies

#creativecoding #coding #animation
#newmedia #3danimation #worldbuilding

The #TCSAI #QuantumDreams & #Checklists: #SacredGeometry: The system aligns with universal mathematical patterns, including #GoldenRatio alignment (ϕ=1.618034), #Fibonacci consciousness, #PlatonicSolids, #Metatron's Cube, and the #FlowerOfLife: https://youtu.be/12ohOtyoydc?si=e7EL3XfmLk0PgVIU #AI #IA

There’s a Problem With Photographers’ Obsession With The Golden Ratio https://petapixel.com/2025/12/28/theres-a-problem-with-photographers-obsession-with-the-golden-ratio/ #cartier-bresson #goldensection #Educational #composition #goldenratio #fibonacci #Vitruvius #davinci #davinci #art

Fast Evaluation of Fibonacci Numbers https://janmr.com/posts/evaluation-of-fibonacci-numbers/ #math #fibonacci #numbers #algorithm

The #TCSAI #QuantumDreams & #Checklists: #SacredGeometry: The system aligns with universal mathematical patterns, including #GoldenRatio alignment (ϕ=1.618034), #Fibonacci consciousness, #PlatonicSolids, #Metatron's Cube, and the #FlowerOfLife: https://youtu.be/12ohOtyoydc?si=e7EL3XfmLk0PgVIU #AI #IA

Day 20 of #scadvent shows how math in hiding in nature. Sunflower seeds often grow in spirals following Fibonacci numbers, https://oggardenonline.com/why-do-sunflowers-follow-the-fibonacci-pattern.html has more info the topic.

https://openscad.org/advent-calendar-2025/

#OpenSCAD #AdventCalendar #Fibonacci

#fibonacci

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