barqueira
@lbarqueira.bsky.social
1.9K followers 270 following 370 posts
Data Visualization & Creative Coding enthusiast. Ex-DellEMC, ex-Siemens. MSc, Electrical and Computer Engineering. 🐶Welsh Corgi ❤️🎼🌊📷 Blog: http://lbarqueira.github.io/
Posts Media Videos Starter Packs
Pinned
lbarqueira.bsky.social
Mediterranean Sea Bathymetry.
Data: AWS Terrain Tiles, retrieved with {elevatr}.
Credits to @milos-makes-maps.bsky.social for its amazing R tutorials on #dataviz, and to @tylermorganwall.bsky.social for the #rayshader R package.
#rstats #maps #rspatial #gis #gischat
lbarqueira.bsky.social
Roots of complex polynomial
Inspired by ‪the work of @sconradi.bsky.social
#MathArt #Python #CodeArt #SciArt #CreativeCoding #Math
lbarqueira.bsky.social
My bear phase.
#CorgiCrew #DogsOfBluesky #corgisky #corgi #photography #photo
lbarqueira.bsky.social
Father and son in complete harmony.
#CorgiCrew #DogsOfBluesky #corgisky #corgi #photography #photo
lbarqueira.bsky.social
It sounds great.
lbarqueira.bsky.social
Yes, It is done with Python.
lbarqueira.bsky.social
Roots of complex polynomial
Inspired by ‪the work of @sconradi.bsky.social
#MathArt #Python #CodeArt #SciArt #CreativeCoding #Math
Exploring the roots of an 18th-degree complex polynomial
x^18−x^17+(100it1^5−100it1^4+100it1^3−100it1^2−100t1+100i)·x^10+(−100it2^4−100it2^3+100it2^2+100it2+100)·x^6−0.1 x+0.1
where t₁,t₂ are complex numbers on the unit circle.
z-axis and color encode Im(t1).
lbarqueira.bsky.social
Ria Formosa, Santa-Luzia, #Tavira, #Algarve, #Portugal
July, 2025
#photography, #photo
lbarqueira.bsky.social
Hopalong Attractor
#MathArt #Python #CodeArt #SciArt #CreativeCoding #Math
lbarqueira.bsky.social
Exploring the chaotic beauty of Hopalong Attractors. Each of these nine images is generated from a different set of parameters, showing the incredible variety of patterns that emerge.
#MathArt #Python #CodeArt #SciArt #CreativeCoding #Math
lbarqueira.bsky.social
Visualizing Laplace Eigenfunctions on a Circular Domain
These vibrational patterns emerge from solving the eigenvalue problem for the discrete Laplacian matrix.
#MathArt #Python #CodeArt #SciArt #CreativeCoding #Math
lbarqueira.bsky.social
Photo taken by my youngest son of our great bud.
#Photography
lbarqueira.bsky.social
A new approach:
#MathArt #Python #CodeArt #SciArt #CreativeCoding #Math
lbarqueira.bsky.social
Visualizing the roots of:
x⁹ + 3x⁷ + (−25𝑖𝑡₂² −25𝑖𝑡₂ +75𝑖)x⁵ −4x −50𝑡₁ −50𝑖
where 𝑡₁, 𝑡₂ are random points on the complex unit circle
750,000 (𝑡₁,𝑡₂) pairs → 6.75 million roots
Color maps Im(𝑡₂) using a psychedelic rainbow gradient
#MathArt #Python #CodeArt #SciArt #CreativeCoding #Math
lbarqueira.bsky.social
Visualizing roots of::
(-15i·t₂² -15i·t₂ +15i)x⁷ + 3x⁶ -100t₁ -100i
where t₁, t₂ are complex numbers with |tⱼ|=1.
Key to the plot:
• ↔️ x/y: Root's real/imaginary parts
• ↕️ z: Imaginary part of t₂
• 🔵→🔴 Colors: Im(t₂) from -1 (blue) to +1 (red)
#MathArt #Python #CodeArt #SciArt #CreativeCoding #Math
lbarqueira.bsky.social
Color & Height:
z-axis = Im(t₂) (vertical)
Colors (YlOrRd colormap) = Im(t₂)
Yellow: Im(t₂) ≈ 0 (t₂ nearly real)
Red: Im(t₂) → 1 (t₂ almost purely imaginary)
lbarqueira.bsky.social
3D visualization shows the complex roots of:
10x¹⁸ - 10x¹⁷ + (3200t₂⁶-4800t₂⁴+1800t₂²-100)x⁸ + (200t₁³-100)x⁷ - 10x + 10
where t₁,t₂ are complex numbers on the unit circle.
Colors represent Im(t₂) ≥ 0
Inspired by ‪the work of @sconradi.bsky.social
#MathArt #Python #CodeArt #BlueskyArt #SciArt