Lmst

A101082: Numbers n such that binary representation contains bit strings "10" and "01" (possibly overlapping)

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A101082.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A101082.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A101082.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 A101082 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A101082 in 2D (log(weight), log(level))

A100959: Non-semiprimes

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A100959.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A100959.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A100959.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 non-semiprimes in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of non-semiprimes in 2D (log(weight), log(level))

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

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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

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A100493: a(n) = n + n-th semiprime

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A100493.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A100493.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A100493.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 A100493 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A100493 in 2D (log(weight), log(level))

A100484: The primes doubled; even semiprimes

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Even_semiprimes.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Even_semiprimes.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Even_semiprimes.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 even semiprimes in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

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

I first started using the web in 1998, back when Flash was all the rage.

Since becoming a professional developer in 2008, it's often felt like the industry never quite recaptured the sense of magic Flash enabled. I've been dabbling with Three.js since 2012 and wanted to bring some of that early web energy back in my own site.

Check out the full retrospective here: https://paulbrzeski.com/2023/10/27/building-a-cool-3d-website-tips-tricks-and-lessons-learned/

#threejs #3d #webgl #webdev #retrospective

Trying a different environment map with an old Shadertoy shader that I wrote...
Environment is San Giuseppe Bridge in Venice, from Poly Haven.
Shader is here: https://www.shadertoy.com/view/ddsyD8
(See higher resolution screenshots in reply for alt. text)
#graphics #shader #shadertoy #glsl #webgl #graphicsprogramming #rendering #realtimerendering #realtime #realtimegraphics

Really worthwhile reading from @castano! If you're building with WebGPU, spark.js gives you new choices for texture compression that weren't possible with WebGL.

Also, I need to update my old texture compression blog post. 😅

https://www.ludicon.com/castano/blog/2026/01/choosing-texture-formats-for-webgpu-applications/

#webgl #webgpu #threejs

A100201: Primes of the form 23n+3

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A100201.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A100201.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A100201.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 A100201 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A100201 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

Decomposition into weight × level + jump of prime numbers: in 2D with sequences on the OEIS: a new classification of primes

Decomposition into weight × level + jump of prime numbers in 3D (log(weight), log(level), log(jump)) - threejs - webGL

A099309: Numbers n whose k-th arithmetic derivative is nonzero for all k. Complement of A099308

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A099309.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A099309.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A099309.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 A099309 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A099309 in 2D (log(weight), log(level))

A099267: Numbers generated by the golden sieve

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A099267.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A099267.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A099267.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 A099267 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A099267 in 2D (log(weight), log(level))

A099204: A variation on Flavius's sieve (A000960): Start with the natural numbers; at the k-th sieving step, remove every p-th term of the sequence remaining after the (k-1)-st sieving step, where p is the k-th prime; iterate

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A099204.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A099204.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A099204.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 A099204 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A099204 in 2D (log(weight), log(level))

A098058: Prime(n) such that 4 does not divide the difference between prime(n) and prime(n+1)

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A098058.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A098058.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A098058.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 A098058 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A098058 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