Lmst

Friendly Sparkling Alien Spaceships

I know, I am again using this metaphor! But once I saw the friendly alien spaceships in these images, I could not unsee them! There is more background information about these sparkling ellipsoid and spheres in my previous post. Today I only want to show you number 2 and 3 in this series of four ... add create overdue poetry! In a private browser window, I am searching for "Friendly Sparkling Alien Spaceships" in DuckDuckGo. Visiting each search result one after the other, I pick a short […]

https://elkement.art/2025/12/11/friendly-sparkling-alien-spaceships/

Digital collage of code-generated artworks, by elkement 2025: A blue ellipsoid intersects a green sphere. Either surface is shown as covered with dots in varying colors. Ethereal, sparkling effect. Background: Physics of the force-free gyroscope. The intersection of ellipsoid and sphere represents the path the angular momentum vector traces out, seen from the spinning gyroscope. Equations for constant energy (ellipsoid) and magnitude of constant angular momentum (sphere) are added as LaTex characters, floating over the surface of the ellipsoid.

Digital collage of code-generated artworks, by elkement 2025: A purple ellipsoid intersects a blue sphere. Either surface is shown as covered with dots in varying colors. Ethereal, sparkling effect. Background: Physics of the force-free gyroscope. The intersection of ellipsoid and sphere represents the path the angular momentum vector traces out, seen from the spinning gyroscope. Equations for constant energy (ellipsoid) and magnitude of constant angular momentum (sphere) are added as LaTex characters, floating over the surface of the ellipsoid.

A056020: Numbers that are congruent to +-1 mod 9

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A056020.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A056020.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A056020.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A056020 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A056020 in 2D (log(weight), log(level))

A055638: Numbers k for which sigma(k^2) is prime

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A055638.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A055638.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A055638.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A055638 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A055638 in 2D (log(weight), log(level))

Exploring Bruno Simon's crazy new portfolio using the #threejs chrome extension I'm working on.

The extension lets you explore the scene hierarchy and objects, inspect and edit properties and materials and much more.

A055393: Sum of a square and a nonnegative cube in more than one way

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A055393.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A055393.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A055393.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A055393 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A055393 in 2D (log(weight), log(level))

A055039: Numbers of the form 2^(2i+1)*(8j+7)

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A055039.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A055039.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A055039.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A055039 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A055039 in 2D (log(weight), log(level))

December is here with the holidays charm. Find the last chapters of this project following the link:

https://www.ivanmoreno.art/portraits/dec/01/

or

https://www.ivanmoreno.art/portraits/dec/10/

#threejs #gsap #nodejs #netart #webdevelopment #interactiveart #stoicism #dailystoic

I've updated the three.js gltf spark loader to use BC5/EAC_RG formats for normal maps, which are not supported in r182.

https://github.com/Ludicon/spark.js

I've also shaved a few more bytes bringing the package size down to 256KB!

#spark #WebGPU #threejs

three.js r182 was just released! 🎉

https://github.com/mrdoob/three.js/releases/tag/r182

I contributed support for RG normal maps, enabling support BC5 and EAC_RG normal map compression in both the WebGL and WebGPU renderers.

#webgpu #webgl #threejs

Now this animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ https://decompwlj.com
A little more work on axis sizing and controls.

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

4: The palindromes in base 10 (A002113) ➡️ https://decompwlj.com/3DgraphGen/Palindromes.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

3: The triangular numbers (A000217) ➡️ https://decompwlj.com/3DgraphGen/Triangular_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

2: The prime numbers (A000040) ➡️ https://decompwlj.com/3DgraphGen/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
🧵⬇️

1: The natural numbers (A000027) ➡️ https://decompwlj.com/3DgraphGen/Natural_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A054800: First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2)

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A054800.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A054800.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A054800.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A054800 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A054800 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A054741: Numbers m such that totient(m) < cototient(m)

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A054741.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A054741.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A054741.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A054741 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A054741 in 2D (log(weight), log(level))

A054402: Numbers that are the sum of a positive square and a positive cube in more than one way

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A054402.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A054402.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A054402.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A054402 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A054402 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of prime numbers:
- a new classification of primes ➡️ https://decompwlj.com/primedecomp.php
- in 3D - threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research