2024/09/25

 

Mathematicians discover new class of shape seen throughout nature

‘Soft cells’ — shapes with rounded corners and pointed tips that fit together on a plane — feature in onions, molluscs and more. Full article @ Nature.

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Modeling systems

Pi the Movie

Fibonacci Sequence

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

Patterns of Life – D’Arcy Thompson, Structuralism and the Shape of Life


Treasures of the Library 5. D'Arcy Thompson, On growth and form


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Mathematics of Soft Cells.

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!"

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2024/09/09

 

Advances on cracking Antikythera Mechanism

"Freeth and colleagues at University College London (UCL) believe they have finally cracked the puzzle using 3D computer modelling. They have recreated the entire front panel, and now hope to build a full-scale replica of the Antikythera using modern materials". News article at BBC News, full article at Scientific Reports.

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Colossus, electronic analog

"Let us not imagine, however, that Colossus was a programmable, general-purpose computer in the modern sense. It could logically combine two data streams – one on tape, one generated from ring counters – and count the number of 1s encountered, and that was all. Much of the “programming” of Colossus was actually carried out on paper, with operators executing decision trees prepared by analysts." From, The Electronic Computers, Part 2: Colossus.

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