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#branching

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💧🌏 Greg Cocks

Scaling In Branch Thickness And The Fractal Aesthetic Of Trees [In Art From Da Vinci To Mondrian]
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academic.oup.com/pnasnexus/art <-- shared paper
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[not my usual fare, but love the spatial mathematical components, although the maths is way over my head!]
#spatial #maths #mathematics #art #painting #representation #daVinci #LeonardodaVinci #MurraysLaw #tree #vegetation #fractal #fractals #α #biology #artwork #radiusscalingexponent #branches #branching #nature #naturalpatterns #proportions #physiology #Mondrian #aesthetic #aesthetics #scale #scaling

a) da Vinci’s sketch of a tree illustrates the principle that combined thickness is preserved at different stages of ramification. b) Transects A and B have the same combined thickness and so limbs a and b together must have the same thickness as c. This has been taken to imply that c) combined cross-sectional area (⁠πR²⁠) is preserved across branching. Likewise, d) such transects can count the number of branches n that have radius approximately r to derive a fractal scaling relationship. Source: (a) from Institut de France Manuscript M, p. 78v.
sketch from one of Leonardo da Vinci's notebooks illustrating his original rules of trees
The scaling exponent α (a) determines the amount of detail at a given resolution and (b) proportions among adjoining boughs.
Trees in artwork across centuries, cultures, and styles exhibit fractal scaling. a) carved stone window screen of Sidi Saiyyed Mosque, Ahmedabad, Gujarat, India (1573 CE). b) Cherry Blossoms, Matsumura Goshun (1752–1811), ink on paper. c) L’Arbre de Vie (Tree of life), Gustav Klimt (1909), oil on canvas. d) data and inference of α±95% CI in two replicate measurements for each work along with simulated and living trees. Dotted vertical lines indicate the cutoff for excluding small-scale effects. Diameters from simulated and living trees are divided by this minimum value and therefore the horizontal axis is unitless.
Public
Flipboard Art & Photo Desk

Branching structures exist throughout nature — in trees, of course, but also in leaves, veins and arteries. Mitchell Newberry, a research assistant professor of biology at the University of New Mexico, writes about Dutch artist Piet Mondrian's tree paintings, which evolved from realistic depictions in context, to overlapping lines in shades of gray. “Gray Tree” uses only curved lines of various thickness superimposed on top of one another at seemingly random angles. Yet the image is unmistakably a tree," writes Newberry for @TheConversationUS. "How did Mondrian convey the sense of a tree with so little? The science of trees may offer some clues."

flip.it/7UiFaI

The ConversationArt and science illuminate the same subtle proportions in tree branchesArtists and scientists explore how we subconsciously perceive subtle proportions in trees.
#Art#Painting#PietMondrian
Public
illestpreacha

MindsetofABranch

Video: youtu.be/ChWW-83sTSM

Submission for #WCCChallenge #Branching

Blogpost: blog.illestpreacha.com/wcccbra

For this week's Creative Code Challenge by @sableraph : "Branching", MindsetofABranch takes the git branching graph from #mermaidjs and shows the pixelated and chaotic process that can occur through ideation with #Hydravideosynth @hydra oplap.org The sound that ties this branching progress is a remix coded composition in #Limut

Poem

When process emerge
Which ones float above the progress?
And which ones makes the ideas submerge
What idea stays on the branch
And sprouts it leaves
Which idea alienates the rest,
And minimise the ability
For the idea to breathe?
Pixelated thoughts
Might happen more, might happen a lot?

#creativecoding #coding #soundscape #worldbuilding
#newmedia #scifi #animation #grap

YouTubeWCCC Branching: MindsetOfABranchBy Illest Preacha
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