S. Leonardo

I investigate the intersection of mathematics, computation, and visual art - 🎨π #GenerativeArt #MathArt #DigitalArt #CreativeCoding

[S. Leonardo @LeonArTech]

Ancient Roman floor and #generative re-creation (from Museo di Santa Giulia / Italy), made for #genuary2024 day25.
#genuary #genuary25 #digitalart #generativeart #mathart #math #creativecoding

[S. Leonardo @LeonArTech]

A simple tiling based on the integer factorization of 216 = 6³, where an integer N is represented as N tiles derived from its factors. Tile brightness reflects the iterative factors split method
#GenerativeArt #MathArt #DigitalArt #CreativeCoding #IntegerFactorization

[S. Leonardo @LeonArTech]

Numbers can surprise us when they take shape.
What seems like a plain factorization —1024 = 2¹⁰— unfolds into a rich moaic through my integer factorization tiling method (1024 splits by factors [8, 4, 4, 4, 2]) #GenerativeArt #MathArt #DigitalArt #CreativeCoding

[S. Leonardo @LeonArTech]

Today’s date (28.09.25) was too tempting not to factorize✨
Using my integer factorization tiling method, every integer N becomes a tiling of N pieces, split by its factors.
For today: N = 6300→[7, 4, 3, 3, 5, 5]
Have a nice factorized day!
#GenerativeArt #MathArt #DigitalArt

[S. Leonardo @LeonArTech]

Hidden order within numbers: I return to my series on integer factorization tiling.
Here, the number N = 2160 unfolds into 2160 tiles, split recursively by its factors [3, 3, 3, 5, 4, 4].
#GenerativeArt #MathArt #DigitalArt #CreativeCoding #IntegerFactorization #AlgorithmicArt

[S. Leonardo @LeonArTech]

Rug based on my Integer Factorization tiling (5760 tiles [4,3,4,3,4,5,2]) - Done for #genuary day 15: "Design a rug" - #genuary2025 #genuary15 #creativecoding

[S. Leonardo @LeonArTech]

B/W based on Integer Factorization tiling for [4, 6, 4, 6, 4, 6, 4] - Done for #genuary day 14: "Pure black and white. No gray." - #genuary2025 #genuary14 #creativecoding

[S. Leonardo @LeonArTech]

Math Season's greetings with my tree made from 2025 tiles, arranged according to prime factorization 3^4 5^2, coloured in Z/81Z x Z/25Z (Hue, Brightness)

[S. Leonardo @LeonArTech]

Recursive pattern with 585 overlapped octagons in 4 levels, made for #genuary2024 "Inspired by Islamic art".
Color in Hue, Saturation, Brightens, and transparency is a function of the recursion level.
#genuary #genuary17 #digitalart #generativeart #mathart #math #creativecoding

[S. Leonardo @LeonArTech]

Exactly n=10000 tiles Ver2, using factorization of n in 2^4 x 5^4, made for #genuary2024 "10000 sth.".
Color in Hue, Saturation, Brightens, is a function of tile index in the factorization process.
#genuary #genuary16 #digitalart #generativeart #mathart #math #creativecoding

[S. Leonardo @LeonArTech]

Tessellation of n=10000 tiles, using factorization of n in 2^4 x 5^4, made for #genuary2024 "10000 sth.".
Color in Hue, Saturation, Brightens, is a function of tile index in the factorization process.
#genuary #genuary16 #digitalart #generativeart #mathart #math #creativecoding

[S. Leonardo @LeonArTech]

Overlapped hexagons fractal (V2: level rotation), made for #genuary2024 day10 "Hexagonal".
5 levels; 1555 hexagons = sum(6^i) i = 0,4. Color in Hue, Saturation, Brightens, Alpha is a function of level.
#genuary #genuary10 #digitalart #generativeart #mathart #math #ceativecoding

[S. Leonardo @LeonArTech]

Overlapped hexagons fractal, made for #genuary2024 day10 "Hexagonal".
5 levels; 1555 hexagons = sum(6^i) i = 0,4. Color in Hue, Saturation, Brightens, Alpha is a function of level.
#genuary #genuary10 #digitalart #generativeart #mathart #math #ceativecoding

[S. Leonardo @LeonArTech]

Fractal chessboard in the color space / N2; zoom in to see 4 levels. Created for Generative January #genuary2024 day2 "no palette".
#genuary #genuary2 #digitalart #genertiveart #mathart #math #ceativecoding

[S. Leonardo @LeonArTech]

Generative Kanagawa waves with droste effect; zoom in to see 6 levels. Created for Generative January #genuary2024 day3 "Droste effect".
#genuary #genuary3 #digitalart #genertiveart #mathart #math #ceativecoding

[S. Leonardo @LeonArTech]

Fractal chessboard in the color space; zoom in to see 4 levels. Created for Generative January #genuary2024 day2 "no palette".
#genuary #genuary2 #digitalart #genertiveart #mathart #math #ceativecoding

[S. Leonardo @LeonArTech]

Happy 2024! with a tiling made of 2024 tiles.
#DigitalArt #GenertiveArt #MathArt #Math #2024NewYear

[S. Leonardo @LeonArTech]

@msmathcomp Tilings

[S. Leonardo @LeonArTech]

" #MathArt from Roman times ", my picture of a perfectly preserved floor from Museo di Santa Giulia (Brescia / Italy). A part of the Museum site contains original Roman houses in the underground! #math #tilings #art

[David A. Reimann @drMathArt]

I'm excited to announce my solo art exhibition, "Pi and Other Delights" at the National Museum of Mathematics (@MoMath1) in New York City. The show opens tomorrow and will be up until the end of August. See https://t.co/OcFBqSE1ax for more details.