2024/09/25
Modeling systems
The magic of Fibonacci numbers by Arthur Benjamin
Peter Hilton (1923-2010) discusses intriguing number tricks that can be explained by analysing the properties of Fibonacci numbers and the related Lucas numbers. The explanations themselves benefit from further explanations which, in their turn, lead to further discoveries. Recorded at Imperial College London during the 1996 London Mathematical Society Popular Lecture series.
D'Arcy Thompson
- In retrospect: On Growth and Form by Phillip Ball.
- D'Arcy Thompson's Affine Fish Transformations @ Wolfram
- S.J. Gould. [1971] "D'Arcy Thompson and the Science of Form". New Literary History, 2 (2): 229-258
- W. Arthur [2006]. "D'Arcy Thompson and the theory of transformations".Nature Reviews Genetics 7, 401-406.
- Geometry of Growth and Form: Commentary on D'Arcy Thompson
- Java applet for shell sketching
Patterns of Life – D’Arcy Thompson, Structuralism and the Shape of Life
Treasures of the Library 5. D'Arcy Thompson, On growth and form
BLOOMS: Strobe Animated Sculptures Invented by John Edmark from Charlie Nordstrom on Vimeo. "This series of 3D printed sculptures was designed in such a way that the appendages match Fibonacci's Sequence, a mathematical sequence that manifests naturally in objects like sunflowers and pinecones. When the sculptures are spun at just the right frequency under a strobe light, a rather magical effect occurs: the sculptures seem to be animated or alive!"
Labels: #Modeling, #SystemsScience