barqueira
Data Visualization & Creative Coding enthusiast. Ex-DellEMC, ex-Siemens. MSc, Electrical and Computer Engineering. 🐶Welsh Corgi ❤️🎼🌊📷
Blog: lbarqueira.github.io
- Roots of complex polynomial Inspired by the work of @sconradi.bsky.social #MathArt #Python #CodeArt #SciArt #CreativeCoding #Math
- Roots of complex polynomial Inspired by the work of @sconradi.bsky.social #MathArt #Python #CodeArt #SciArt #CreativeCoding #Math
- 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
- 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
- Photo taken by my youngest son of our great bud. #Photography
- 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
- 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
- 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
- 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)
- 3D plot of the roots of a random family of quartic polynomials with complex coefficients on the unit circle. The z-axis and color both encode the phase of 𝑡2. Inspired by @sconradi.bsky.social work. #MathArt #Python #CodeArt #BlueskyArt #SciArt
- Another perspective to emphasize 3D dimentions, with the x, y, z axes. #MathArt #Python #CodeArt #BlueskyArt #SciArt
- 4000 Line Segments - Symmetry from Nested Sine Waves Each segment’s position is controlled by layered trigonometric functions. #MathArt #Python #CodeArt #BlueskyArt #SciArt #CreativeCoding #GenerativeArt
- 4000 Line Segments from Trig Functions #MathArt #Python #CodeArt #BlueskyArt #SciArt #CreativeCoding #Math
- Mathematical symmetry. N = 14.000 circles generated by: X = cos(10πk/N)(1−0.5cos²(16πk/N)) Y = sin(10πk/N)(1−0.5cos²(16πk/N)) Radius = 1/250 + 0.08sin⁴(52πk/N) #Python #MathArt #SciArt #CreativeCoding #Math
- Visualizing a 9th-Degree Polynomial x⁹ + (-50i·t₁³ -50·t₁² +50i·t₁ +50)x⁵ - 4·x + 50i·t₂³ + 50i·t₂² + 50i·t₂ + 50i 1 million parameter pairs → 9 million roots Color: Root density (hot = frequent, black = rare) #Python #MathArt #SciArt #CreativeCoding #Math
- Plotting 52M roots of a 13th-Degree Polynomial: (-100𝑖·𝑡₂² + 100·𝑡₂ − 100𝑖)𝑥¹³ − 100𝑖·𝑡₁² − 100𝑖·𝑡₁ − 100 Where: 𝑡₁, 𝑡₂ are random points on the complex unit circle (|𝑡₁|=|𝑡₂|=1) Each of 4M (𝑡₁,𝑡₂) pairs generates 13 roots in ℂ #Python #MathArt #SciArt #CreativeCoding #Math
- Eigenvalue density of 12×12 centrosymmetric doubly companion matrices. Where matrix has: subdiagonal = 1, first row entries: −αₖ where αₖ ∈ {−1, 0, 1}, last column entries: −αₖ 1M samples, coefficients: {−1, 0, 1}, view: [−2.2−2.2𝑖, 2.2+2.2𝑖] #Python #MathArt #SciArt #CreativeCoding #Math
- Inspired by: rcorless.github.io/Doubly_Compa...
- Density plot of eigenvalues from 2M randomly generated 11×11 upper Hessenberg Toeplitz matrices. Each matrix has: 0 diagonal, −1 subdiagonal, upper entries randomly drawn from {±1, ±𝑖} (the 4th roots of unity). The color represents eigenvalue density. #Python #MathArt #SciArt #CreativeCoding #Math
- Inspired by: arxiv.org/abs/2202.07769
- Density plot of eigenvalues from 1 million 10×10 tridiagonal matrices w/ entries randomly chosen from {0, ±1, ±i, ±10, ±10i, ±20, ±20i}. viewing window is [-48-48i, 48+48i]. The color represents eigenvalue density. #Python #MathArt #SciArt #CreativeCoding #Mathematics
- Reposted by barqueiraUpdate to the #MathArt starter pack - it comes now with several more, great, stunning #Math artists. Be sure to follow all of them, please spread the word, and let me know if you have further suggestions! go.bsky.app/CiKwTsgat://did:plc:7rlensm46bg6eao4ag3xeqaz/app.bsky.graph.starterpack/3lpwid6ddwp2j
- Eigenvalue density plot in the complex plane from 1.5M Bohemian 20×20 tridiagonal matrices (entries in {0, ±(1+1i)/√2, ±(1−1i)/√2}). Color shows eigenvalue density over [−2.5−2.5i, 2.5+2.5i]. Inspired by Robert Corless #Python #MathArt #SciArt #CreativeCoding #Mathematics
