My bear phase. #CorgiCrew #DogsOfBluesky #corgisky #corgi #photography #photo

Father and son in complete harmony. #CorgiCrew #DogsOfBluesky #corgisky #corgi #photography #photo

Roots of complex polynomial Inspired by ‪the work of @sconradi.bsky.social #MathArt #Python #CodeArt #SciArt #CreativeCoding #Math

Ria Formosa, Santa-Luzia, #Tavira, #Algarve, #Portugal July, 2025 #photography, #photo

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

Yesterday in Ria Formosa, Santa-Luzia, Tavira, Portugal #Photography, #Portugal, #Algarve, #tavira

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

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

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

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

Update 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/CiKwTsg

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

Eigenvalue density plot of 15 million 6×6 companion matrices, where the last column is filled with complex numbers of the form 2 * r * exp(iθ) - 1, with r drawn from a Beta(0.01, 0.01) distribution and fixed angle θ = 0. #Python #MathArt #SciArt #CreativeCoding #Mathematics

Eigenvalue density plot of 20 million 15×15 circulant matrices, where each matrix is generated with entries from the set {−1, 0, 1}. The plot shows the complex eigenvalues over the region [−0.5−0.5i, 0.5+0.5i]. #Python #MathArt #SciArt #CreativeCoding #Mathematics

Eigenvalue density from random skew-symmetric tridiagonal 20×20 matrices with entries from {1±i}. Density shown with ocean colormap. Brighter = more eigenvalues. Credits and inspiration: Rob Corless #Python #MathArt #SciArt #CreativeCoding #Mathematics

I took this photo in Lisbon, 2013 #photography #Lisbon #Portugal

I took this photo in Lisbon, 2013 #photography #Lisbon #Portugal

Eigenvalue density plot of 7×7 random complex tridiagonal matrices Entries chosen from 5th roots of unity. Each pixel shows the log-scaled frequency of eigenvalues landing in that region of the complex plane. #Python #MathArt #CreativeCoding #Mathematics #SciArt

Density plot in the complex plane of the eigenvalues of 5M random 5×5 matrices. Each matrix entry is independently sampled from 2X−1 where X ~ Beta(0.01, 0.01). The color represents the logarithmic density of eigenvalues, viewed on [-3-3i, 3+3i]. #Python #MathArt #CreativeCoding #Mathematics #SciArt

Eigenvalues of the 6×6 matrix shown in the image, with complex entries A, B, C, D (each purely imaginary, uniformly distributed on [-5i,5i]). The visualization shows 1 million sampled matrices, with real eigenvalues omitted. Viewed on [-3-3.5i, 4+3.5i] #Python #MathArt #CreativeCoding #Mathematics

Eigenvalue density of 750,000 random 20×20 tridiagonal matrices with entries from {0, ±1, ±i, ±(1±i)/√2}. Warmer colors show higher logarithmic density in the complex plane. #Python #MathArt #SciArt #CreativeCoding #Mathematics

Eigenvalues for 1 million random 20×20 tridiagonal matrices w/ entries sampled from the discrete set {-1, 1}. The image shows the density of eigenvalues in the complex plane, with brighter regions indicating higher concentration. #Python #MathArt #SciArt #CreativeCoding #Mathematics

Eigenvalues for 15 million random 10×10 tridiagonal matrices w/ entries sampled from the discrete set {0, ±1, ±i, ±20, ±20i}. The image shows the density of eigenvalues in the complex plane, with brighter regions indicating higher concentration. #Python #MathArt #SciArt #CreativeCoding #Mathematics

Eigenvalue density plot of random 5×5 symmetric matrices with entries from {-1, i, -i} on the complex plane. Colors represent eigenvalue frequency. #Python #MathArt #SciArt #CreativeCoding #Mathematics

🇵🇹 #Portugal, #photography, #photo, #paradise

Eigenvalue density plot of 20M random 6×6 matrices with entries from {4+0i, 6+0i} on the complex plane. The intricate structure emerges from sampling Bohemian matrices with constrained integer entries. Colors represent eigenvalue frequency. #Python #MathArt #SciArt #CreativeCoding #Mathematics

Eigenvalue distribution of 1,000,000 random 12×12 matrices whose entries are generated using the Gauss-Kuzmin distribution of continued fraction partial quotients. Inspired by discussions on Bohemian matrices and Gauss-Kuzmin. Generated with #python #MathArt #SciArt #CreativeCoding #Mathematics

S. Miguel, #Azores, 2014, #Portugal #photography #photo

What a beautiful pattern. Santa Luzia, #Tavira, #Algarve, 🇵🇹 Portugal #photography #photo

Exploring the roots of 177,147 polynomials with coefficients in {-1, 0, 1} Each dot represents a root of a degree-10 polynomial, w/ brightness revealing its frequency across all polynomials constrained to [-1.6, 1.6] × [-1.6, 1.6]. #p5js #MathArt #VisualMath #SciArt #CreativeCoding #Mathematics

Visualizing roots of z² + (t₁ + t₂) t₁ and t₂ are complex numbers, |t₁| = |t₂| = 1 Colors encode the angle of each t₁ and t₂ Generated with #p5js #MathArt #VisualMath #ComplexAnalysis #Algebra #SciArt

Photo taken this weekend at Ria Formosa #Algarve, #portugal, #photography

This visualization shows all roots of quadratic polynomials (ax² + bx + c = 0) where coefficients |a|,|b|,|c| ≤ 100, plotted in the complex plane from -0.28-0.28i to 0.28+0.28i. Generated with #p5js #MathArt #VisualMath #ComplexAnalysis #Algebra #SciArt

Swallows in the #Algarve, #portugal #birds, #photography

- feel welcome to share - I'm looking for long and short term #datascience #datavis #frontent work. I am best at making web based interactive data analysis tools, but also do backend, data science, APIs, UX, and frontend development. Find my portfolio here: miskaknapek.eu

This visualization shows all roots of quadratic polynomials (ax² + bx + c = 0) where coefficients |a|,|b|,|c| ≤ 100, plotted in the complex plane from -1.2-1.2i to 1.2+1.2i. Generated with #p5js #MathArt #VisualMath #ComplexAnalysis #Algebra #SciArt

I love this place. Authentic paradise. Photo taken last summer on "Terra Estreita" beach, in #Tavira, #Algarve. #photography

Eigenvalues of the 6×6 matrix shown in the image, where A and B are independent real-valued random variables uniformly distributed on [-5,4]. The visualization shows 5 million sampled matrices, with real eigenvalues omitted. Viewed on [-3-3.5i, 4+3.5i]. #MathArt #CreativeCoding #Mathematics #p5js

Density plot of Bohemian eigenvalues from 173.800 random 12×12 non-normal upper Hessenberg Toeplitz matrices with entries in {-1,0,1} and zero main diagonal. Colors represent eigenvalue frequency; real eigenvalues are excluded. Viewed on [-3-3i, 3+3i]. #MathArt #CreativeCoding #Mathematics #SciArt

A density plot of Bohemian eigenvalues from 109.000 random 20×20 anti-tridiagonal matrices with entries in {-1,0,1}. Colors represent eigenvalue frequency; real eigenvalues are excluded. Viewed on [-2.5-2.5i, 2.5+2.5i]. #MathArt #CreativeCoding #Mathematics #VisualMath #ComplexAnalysis #math #SciArt