Skip to content
  • mrlyprod
    • aws
      • crates
        • figures
          • files
            • figures
              • bases-fig.png
              • blog-launching-mrlyprod-org-dark.png
              • blog-launching-mrlyprod-org-light.png
              • cuts-fig.png
              • demo-apollonian-dark.png
              • demo-apollonian-light.png
              • demo-carry-dark.png
              • demo-carry-light.png
              • demo-chladni-dark.png
              • demo-chladni-light.png
              • demo-crop-dark.png
              • demo-crop-light.png
              • demo-cuts-dark.png
              • demo-cuts-light.png
              • demo-echo-dark.png
              • demo-echo-light.png
              • demo-font-dark.png
              • demo-font-light.png
              • demo-gaussian-dark.png
              • demo-gaussian-light.png
              • demo-graphs-dark.png
              • demo-graphs-light.png
              • demo-integers-dark.png
              • demo-integers-light.png
              • demo-life-dark.png
              • demo-life-light.png
              • demo-memory-dark.png
              • demo-memory-light.png
              • demo-modes-dark.png
              • demo-modes-light.png
              • demo-moire-dark.png
              • demo-moire-light.png
              • demo-morse-dark.png
              • demo-morse-light.png
              • demo-mrlylife-dark.png
              • demo-mrlylife-light.png
              • demo-plot-dark.png
              • demo-plot-light.png
              • demo-primes-dark.png
              • demo-primes-light.png
              • demo-race-dark.png
              • demo-race-light.png
              • demo-radial-dark.png
              • demo-radial-light.png
              • demo-radix-dark.png
              • demo-radix-light.png
              • demo-sequences-dark.png
              • demo-sequences-light.png
              • demo-shell-dark.png
              • demo-shell-light.png
              • demo-slices-dark.png
              • demo-slices-light.png
              • demo-snail-dark.png
              • demo-snail-light.png
              • demo-spectra-dark.png
              • demo-spectra-light.png
              • demo-spectrometer-dark.png
              • demo-spectrometer-light.png
              • demo-spin-dark.png
              • demo-spin-light.png
              • demo-spirograph-dark.png
              • demo-spirograph-light.png
              • demo-sponge-dark.png
              • demo-sponge-light.png
              • demo-star-dark.png
              • demo-star-light.png
              • demo-tile-dark.png
              • demo-tile-light.png
              • demo-tour-dark.png
              • demo-tour-light.png
              • demo-tourbillon-dark.png
              • demo-tourbillon-light.png
              • demo-tower-dark.png
              • demo-tower-light.png
              • demo-tube-dark.png
              • demo-tube-light.png
              • demo-ulam-dark.png
              • demo-ulam-light.png
              • demo-universe-dark.png
              • demo-universe-light.png
              • demo-volume-dark.png
              • demo-volume-light.png
              • demo-weights-dark.png
              • demo-weights-light.png
              • demo-wolfram-dark.png
              • demo-wolfram-light.png
              • demo-words-dark.png
              • demo-words-light.png
              • demo-zeta-dark.png
              • demo-zeta-light.png
              • LICENSE.md
              • paper-component-exponent-of-kronecker-words-dark.png
              • paper-component-exponent-of-kronecker-words-light.png
              • paper-coprime-density-above-dimension-one-dark.png
              • paper-coprime-density-above-dimension-one-light.png
              • paper-design-dirichlet-inverse-dark.png
              • paper-design-dirichlet-inverse-light.png
              • paper-divisor-avatars-dark.png
              • paper-divisor-avatars-light.png
              • paper-first-base-below-a-quarter-dark.png
              • paper-first-base-below-a-quarter-light.png
              • paper-gasket-ray-machine-dark.png
              • paper-gasket-ray-machine-light.png
              • paper-lemma-b-pincer-dark.png
              • paper-lemma-b-pincer-light.png
              • paper-menger-pairwise-coprimality-dark.png
              • paper-menger-pairwise-coprimality-light.png
              • paper-moire-correlation-laws-dark.png
              • paper-moire-correlation-laws-light.png
              • paper-order-sensitivity-of-kronecker-words-dark.png
              • paper-order-sensitivity-of-kronecker-words-light.png
              • paper-sequence-census-dark.png
              • paper-sequence-census-light.png
              • paper-slice-recurrence-order-dark.png
              • paper-slice-recurrence-order-light.png
              • paper-slice-sign-even-half-dark.png
              • paper-slice-sign-even-half-light.png
              • paper-sparse-mertens-under-grh-dark.png
              • paper-sparse-mertens-under-grh-light.png
              • paper-spin-harmonics-dark.png
              • paper-spin-harmonics-homometric.png
              • paper-spin-harmonics-light.png
              • paper-walsh-spectrometer-dark.png
              • paper-walsh-spectrometer-light.png
              • research-apollonian-dark.png
              • research-apollonian-light.png
              • research-automata-dark.png
              • research-automata-light.png
              • research-bases-dark.png
              • research-bases-light.png
              • research-beneath-dark.png
              • research-beneath-light.png
              • research-bijection-dark.png
              • research-bijection-light.png
              • research-cobham-dark.png
              • research-cobham-light.png
              • research-complexity-dark.png
              • research-complexity-light.png
              • research-connectivity-dark.png
              • research-connectivity-light.png
              • research-coprime-dark.png
              • research-coprime-light.png
              • research-core-dark.png
              • research-core-light.png
              • research-crop-dark.png
              • research-crop-light.png
              • research-cuts-dark.png
              • research-cuts-light.png
              • research-dimensions-dark.png
              • research-dimensions-light.png
              • research-farey-dark.png
              • research-farey-light.png
              • research-hexagon-dark.png
              • research-hexagon-light.png
              • research-index-dark.png
              • research-index-light.png
              • research-information-dark.png
              • research-information-light.png
              • research-integers-dark.png
              • research-integers-light.png
              • research-magic-dark.png
              • research-magic-light.png
              • research-method-dark.png
              • research-method-light.png
              • research-mobius-dark.png
              • research-mobius-light.png
              • research-pi-dark.png
              • research-pi-light.png
              • research-sequences-dark.png
              • research-sequences-light.png
              • research-slices-dark.png
              • research-slices-light.png
              • research-spectra-dark.png
              • research-spectra-light.png
              • research-spin-dark.png
              • research-spin-light.png
              • research-spirograph-dark.png
              • research-spirograph-light.png
              • research-stack-dark.png
              • research-stack-light.png
              • research-walks-dark.png
              • research-walks-light.png
              • research-weights-dark.png
              • research-weights-light.png
              • research-zeta-dark.png
              • research-zeta-light.png
              • site-cart-dark.png
              • site-cart-light.png
              • site-code-dark.png
              • site-code-light.png
              • site-contact-dark.png
              • site-contact-light.png
              • site-demos-dark.png
              • site-demos-light.png
              • site-donate-dark.png
              • site-donate-light.png
              • site-home-dark.png
              • site-home-light.png
              • site-icon-dark.png
              • site-icon-light.png
              • site-math-dark.png
              • site-math-light.png
              • site-og-dark.png
              • site-og-light.png
              • site-page-dark.png
              • site-page-light.png
              • site-papers-dark.png
              • site-papers-light.png
              • site-research-dark.png
              • site-research-light.png
              • site-tools-dark.png
              • site-tools-light.png
              • site-wiki-dark.png
              • site-wiki-light.png
              • walks-fig.png
              • wiki-basel-problem-dark.png
              • wiki-basel-problem-light.png
              • wiki-burnsides-lemma-dark.png
              • wiki-burnsides-lemma-light.png
              • wiki-cellular-automaton-dark.png
              • wiki-cellular-automaton-light.png
              • wiki-eisenstein-integers-dark.png
              • wiki-eisenstein-integers-light.png
              • wiki-euler-characteristic-dark.png
              • wiki-euler-characteristic-light.png
              • wiki-euler-mascheroni-constant-dark.png
              • wiki-euler-mascheroni-constant-light.png
              • wiki-eulers-number-dark.png
              • wiki-eulers-number-light.png
              • wiki-eulers-totient-dark.png
              • wiki-eulers-totient-light.png
              • wiki-famous-formulas-dark.png
              • wiki-famous-formulas-light.png
              • wiki-farey-sequence-dark.png
              • wiki-farey-sequence-light.png
              • wiki-ford-circles-dark.png
              • wiki-ford-circles-light.png
              • wiki-fractal-dimension-dark.png
              • wiki-fractal-dimension-light.png
              • wiki-gaussian-integers-dark.png
              • wiki-gaussian-integers-light.png
              • wiki-goldbach-conjecture-dark.png
              • wiki-goldbach-conjecture-light.png
              • wiki-graph-laplacian-dark.png
              • wiki-graph-laplacian-light.png
              • wiki-graphs-dark.png
              • wiki-graphs-light.png
              • wiki-greatest-common-divisor-dark.png
              • wiki-greatest-common-divisor-light.png
              • wiki-kronecker-product-dark.png
              • wiki-kronecker-product-light.png
              • wiki-leibniz-series-dark.png
              • wiki-leibniz-series-light.png
              • wiki-menger-sponge-dark.png
              • wiki-menger-sponge-light.png
              • wiki-mertens-function-dark.png
              • wiki-mertens-function-light.png
              • wiki-mobius-function-dark.png
              • wiki-mobius-function-light.png
              • wiki-moire-dark.png
              • wiki-moire-light.png
              • wiki-parity-dark.png
              • wiki-parity-light.png
              • wiki-pascals-triangle-dark.png
              • wiki-pascals-triangle-light.png
              • wiki-prime-counting-function-dark.png
              • wiki-prime-counting-function-light.png
              • wiki-prime-numbers-dark.png
              • wiki-prime-numbers-light.png
              • wiki-random-walk-dark.png
              • wiki-random-walk-light.png
              • wiki-riemann-zeta-function-dark.png
              • wiki-riemann-zeta-function-light.png
              • wiki-sierpinski-carpet-dark.png
              • wiki-sierpinski-carpet-light.png
              • wiki-spectral-radius-dark.png
              • wiki-spectral-radius-light.png
              • wiki-spirograph-dark.png
              • wiki-spirograph-light.png
              • wiki-thue-morse-sequence-dark.png
              • wiki-thue-morse-sequence-light.png
              • wiki-transfer-matrix-dark.png
              • wiki-transfer-matrix-light.png
              • wiki-ulam-spiral-dark.png
              • wiki-ulam-spiral-light.png
              • wiki-visible-lattice-points-dark.png
              • wiki-visible-lattice-points-light.png
              • wiki-wallis-product-dark.png
              • wiki-wallis-product-light.png
              • wiki-wallis-sieve-dark.png
              • wiki-wallis-sieve-light.png
          • pkgs
            • research
              • scripts
                • site
                  • wiki
                    • .gitignore
                    • .python-version
                    • Cargo.lock
                    • Cargo.toml
                    • CONTRIBUTING.md
                    • LICENSE
                    • pyproject.toml
                    • README.md
                    • rust-toolchain.toml
                    • uv.lock
                  mrlyprod/files/figures/research-apollonian-dark.pngRaw · GitHub

                  research-apollonian-dark.png

                  100.3 kB · png

                  research-apollonian-dark.png

                  Settings

                  Copyright © MrlyProd, Inc. 2013-2026. All rights reserved.