Just hit 300 downloads on Zenodo! 📈
Incredibly grateful to see this many people digging into framework-independent zero divisors in Sedenions and beyond.
📖 doi.org/10.5281/zeno...
Downloaders, let's talk! Would love to hear your thoughts and ideas about it.
#Math #ZeroDivisors #256D #Sedenions
Incredibly grateful to see this many people digging into framework-independent zero divisors in Sedenions and beyond.
📖 doi.org/10.5281/zeno...
Downloaders, let's talk! Would love to hear your thoughts and ideas about it.
#Math #ZeroDivisors #256D #Sedenions
January 9, 2026 at 3:24 AM
Just hit 300 downloads on Zenodo! 📈
Incredibly grateful to see this many people digging into framework-independent zero divisors in Sedenions and beyond.
📖 doi.org/10.5281/zeno...
Downloaders, let's talk! Would love to hear your thoughts and ideas about it.
#Math #ZeroDivisors #256D #Sedenions
Incredibly grateful to see this many people digging into framework-independent zero divisors in Sedenions and beyond.
📖 doi.org/10.5281/zeno...
Downloaders, let's talk! Would love to hear your thoughts and ideas about it.
#Math #ZeroDivisors #256D #Sedenions
Thinking about alternative uses for neural processing units (NPUs) in modern computers. What other than AI could we use these for?
Seems to me that chat bots and image processing are entirely wasted potential and something something mathematical physics…
Sedenions.
Seems to me that chat bots and image processing are entirely wasted potential and something something mathematical physics…
Sedenions.
January 5, 2026 at 8:45 PM
Thinking about alternative uses for neural processing units (NPUs) in modern computers. What other than AI could we use these for?
Seems to me that chat bots and image processing are entirely wasted potential and something something mathematical physics…
Sedenions.
Seems to me that chat bots and image processing are entirely wasted potential and something something mathematical physics…
Sedenions.
211 downloads. A Chen Prime. p + 2 = 213, a semiprime (3 x 71). While the establishment polishes the "Nice Math" of the Octonions, we are exploring 16-dimensional sedenions and beyond. Shout-out to legendary Chinese mathematician Chen Jingrun. #NotNiceMath #Sedenions #Truth
doi.org/10.5281/zeno...
doi.org/10.5281/zeno...
January 4, 2026 at 8:38 PM
211 downloads. A Chen Prime. p + 2 = 213, a semiprime (3 x 71). While the establishment polishes the "Nice Math" of the Octonions, we are exploring 16-dimensional sedenions and beyond. Shout-out to legendary Chinese mathematician Chen Jingrun. #NotNiceMath #Sedenions #Truth
doi.org/10.5281/zeno...
doi.org/10.5281/zeno...
This leads to the next step up, the sedenions, which can be represented by a 16bit matrix algebra. Here, however, sedenions have zero divisors. Sedenions have addition, subtraction, and multiplication, but aren’t a division algebra.
January 4, 2026 at 9:52 AM
This leads to the next step up, the sedenions, which can be represented by a 16bit matrix algebra. Here, however, sedenions have zero divisors. Sedenions have addition, subtraction, and multiplication, but aren’t a division algebra.
Encountering the term TOPS (Trillion Operations Per Second), I subsequently read about modern NPUs (Neural Processing Units), which primarily compute low resolution matrix multiplication.
What can you do with a 16bit matrix?
SEDENIONS.
Turns out that sedenions are EVERYWHERE in machine learning.
What can you do with a 16bit matrix?
SEDENIONS.
Turns out that sedenions are EVERYWHERE in machine learning.
January 4, 2026 at 9:33 AM
Encountering the term TOPS (Trillion Operations Per Second), I subsequently read about modern NPUs (Neural Processing Units), which primarily compute low resolution matrix multiplication.
What can you do with a 16bit matrix?
SEDENIONS.
Turns out that sedenions are EVERYWHERE in machine learning.
What can you do with a 16bit matrix?
SEDENIONS.
Turns out that sedenions are EVERYWHERE in machine learning.
191 downloads. A Sophie Germain Prime (2p + 1 = 383). We are inspired by the French mathematician and dare to venture with her perseverance beyond octonions with Applied Pathological Mathematics.
doi.org/10.5281/zeno...
#SophieGermain #Sedenions #FrontierMath #MathSky #SciSky #AIResearch #DeepTech
doi.org/10.5281/zeno...
#SophieGermain #Sedenions #FrontierMath #MathSky #SciSky #AIResearch #DeepTech
January 4, 2026 at 1:00 AM
191 downloads. A Sophie Germain Prime (2p + 1 = 383). We are inspired by the French mathematician and dare to venture with her perseverance beyond octonions with Applied Pathological Mathematics.
doi.org/10.5281/zeno...
#SophieGermain #Sedenions #FrontierMath #MathSky #SciSky #AIResearch #DeepTech
doi.org/10.5281/zeno...
#SophieGermain #Sedenions #FrontierMath #MathSky #SciSky #AIResearch #DeepTech
191 downloads. A Sophie Germain Prime (2p + 1 = 383). We are inspired by the French mathematician and dare to venture with her perseverance beyond octonions with Applied Pathological Mathematics.
doi.org/10.5281/zeno...
#SophieGermain #Sedenions #FrontierMath #MathSky #SciSky #AIResearch #DeepTech
doi.org/10.5281/zeno...
#SophieGermain #Sedenions #FrontierMath #MathSky #SciSky #AIResearch #DeepTech
January 4, 2026 at 12:54 AM
191 downloads. A Sophie Germain Prime (2p + 1 = 383). We are inspired by the French mathematician and dare to venture with her perseverance beyond octonions with Applied Pathological Mathematics.
doi.org/10.5281/zeno...
#SophieGermain #Sedenions #FrontierMath #MathSky #SciSky #AIResearch #DeepTech
doi.org/10.5281/zeno...
#SophieGermain #Sedenions #FrontierMath #MathSky #SciSky #AIResearch #DeepTech
I love sedenions and I did figure out something deeply interesting about them.
zenodo.org/records/1757...
zenodo.org/records/1757...
Framework-Independent Zero Divisor Patterns in Higher-Dimensional Cayley-Dickson Algebras: Discovery and Verification of The Canonical Six
We report the discovery of 12 zero divisor patterns in 16-dimensional sedenion space exhibiting dimensional persistence and framework-dependent behavior, with six patterns demonstrating framework inde...
zenodo.org
January 2, 2026 at 11:21 PM
I love sedenions and I did figure out something deeply interesting about them.
zenodo.org/records/1757...
zenodo.org/records/1757...
Shoot Koebisu: Singular structures and geometric holonomy in the zero divisor set of the sedenions https://arxiv.org/abs/2512.13002 https://arxiv.org/pdf/2512.13002 https://arxiv.org/html/2512.13002
December 16, 2025 at 6:37 AM
Shoot Koebisu: Singular structures and geometric holonomy in the zero divisor set of the sedenions https://arxiv.org/abs/2512.13002 https://arxiv.org/pdf/2512.13002 https://arxiv.org/html/2512.13002
sorry about my uninformed joke.. but FYI gemini 3.0 exactly makes the same type of "joke" for sedenions.. but then, it has answers for everything.. even when it does not know anything...
December 10, 2025 at 1:45 PM
sorry about my uninformed joke.. but FYI gemini 3.0 exactly makes the same type of "joke" for sedenions.. but then, it has answers for everything.. even when it does not know anything...
So far, the sedenions seem unconnected to deep mathematics of any kind, while the octonions show up naturally in the theory of Jordan algebras, simple Lie groups and also supersymmetry.
Anyone who loves sedenions should figure out something deeply interesting about them.
Anyone who loves sedenions should figure out something deeply interesting about them.
December 10, 2025 at 12:42 PM
So far, the sedenions seem unconnected to deep mathematics of any kind, while the octonions show up naturally in the theory of Jordan algebras, simple Lie groups and also supersymmetry.
Anyone who loves sedenions should figure out something deeply interesting about them.
Anyone who loves sedenions should figure out something deeply interesting about them.
Super cool stuff! What do you think of the sedenions? They are not a division algebra, but they do seem interesting!
December 10, 2025 at 10:44 AM
Super cool stuff! What do you think of the sedenions? They are not a division algebra, but they do seem interesting!
i have discovered the sedenions and i am happy
December 9, 2025 at 11:12 PM
i have discovered the sedenions and i am happy
G. P. Wilmot: Automorphisms of Sedenions https://arxiv.org/abs/2512.07210 https://arxiv.org/pdf/2512.07210 https://arxiv.org/html/2512.07210
December 9, 2025 at 6:40 AM
G. P. Wilmot: Automorphisms of Sedenions https://arxiv.org/abs/2512.07210 https://arxiv.org/pdf/2512.07210 https://arxiv.org/html/2512.07210
December 9, 2025 at 5:01 AM
I have actually, they're quite cool, but I never found any decent use.
There's also Sedenions, but that's even less useful when it comes to games and things haha
There's also Sedenions, but that's even less useful when it comes to games and things haha
November 30, 2025 at 4:38 AM
I have actually, they're quite cool, but I never found any decent use.
There's also Sedenions, but that's even less useful when it comes to games and things haha
There's also Sedenions, but that's even less useful when it comes to games and things haha
the reals are fake. the complex numbers are ur first step out of the matrix. quaternions are where shit gets real. octonions are for only the most dedicated seekers of divine unity. anything past that, sedenions or trigintaduonions or whatever, is just mental illness
November 25, 2025 at 3:17 PM
the reals are fake. the complex numbers are ur first step out of the matrix. quaternions are where shit gets real. octonions are for only the most dedicated seekers of divine unity. anything past that, sedenions or trigintaduonions or whatever, is just mental illness
The Universe of Numbers, including Transcendentals, Octonions, Sedenions, Surreal, and Nimbers.
(The word "Nimbers" is spelled correctly. Every real number can be expressed as a complex number where the imaginary part is zero. Increase your happiness level by adding p-adic
https://x.com/picko…
(The word "Nimbers" is spelled correctly. Every real number can be expressed as a complex number where the imaginary part is zero. Increase your happiness level by adding p-adic
https://x.com/picko…
November 8, 2025 at 2:59 AM
The Universe of Numbers, including Transcendentals, Octonions, Sedenions, Surreal, and Nimbers.
(The word "Nimbers" is spelled correctly. Every real number can be expressed as a complex number where the imaginary part is zero. Increase your happiness level by adding p-adic
https://x.com/picko…
(The word "Nimbers" is spelled correctly. Every real number can be expressed as a complex number where the imaginary part is zero. Increase your happiness level by adding p-adic
https://x.com/picko…
In abstract algebra, the sedenions form a 16-dimensional noncommutative and nonassociative algebra over the real numbers; they are obtained by applying the Cayley–Dickson construction to the octonions, and as such the octonions are isomorphic to a subalgebra of the sedenions. Unlike the octonions...
August 20, 2025 at 12:06 AM
In abstract algebra, the sedenions form a 16-dimensional noncommutative and nonassociative algebra over the real numbers; they are obtained by applying the Cayley–Dickson construction to the octonions, and as such the octonions are isomorphic to a subalgebra of the sedenions. Unlike the octonions...
Sedenions are neither commutative nor associative, do not even have the property of being alternative - do, however, have the property of power associativity, they are also flexible - but doing math like that is... An experience, a bad one, specially because those entities live in 16D...
June 12, 2025 at 7:15 AM
Sedenions are neither commutative nor associative, do not even have the property of being alternative - do, however, have the property of power associativity, they are also flexible - but doing math like that is... An experience, a bad one, specially because those entities live in 16D...
Can you have zero divisors in mathematics? Yes. You need to go to the Sedenions for that, but you lose a lot of good mathematical properties before getting there.
June 12, 2025 at 7:09 AM
Can you have zero divisors in mathematics? Yes. You need to go to the Sedenions for that, but you lose a lot of good mathematical properties before getting there.
structure is identified with 3-cycles and modes that reduce sets of 84 zero divisors to just 7, in most cases, such as for the sedenions, and identifies the subalgebas of the power associative algebras that provide zero divisors thus defining the [3/5 of https://arxiv.org/abs/2505.11747v1]
May 20, 2025 at 6:05 AM
structure is identified with 3-cycles and modes that reduce sets of 84 zero divisors to just 7, in most cases, such as for the sedenions, and identifies the subalgebas of the power associative algebras that provide zero divisors thus defining the [3/5 of https://arxiv.org/abs/2505.11747v1]
extended to 15 dimensions generating another 100 algebras as well as the sedenions. [4/4 of https://arxiv.org/abs/2505.06011v1]
May 12, 2025 at 6:05 AM
extended to 15 dimensions generating another 100 algebras as well as the sedenions. [4/4 of https://arxiv.org/abs/2505.06011v1]
