New Submissions to TMLR · @tmlrsub
194 followers · 666 posts · Server sigmoid.social
Wrapped $\beta$-Gaussians with compact support for exact probabilistic modeling on manifolds
#embedding #manifolds #hypersphere
Non-Euclidean Dreamer · @noneuclideandreamer
345 followers · 452 posts · Server mathstodon.xyz
Non-Euclidean Dreamer · @noneuclideandreamer
344 followers · 446 posts · Server mathstodon.xyzDebugged my Dodecacontachoron Implementation. (Instantanuous Light)
#hypersphere #codeart #perfectloop #mastoart
Non-Euclidean Dreamer · @noneuclideandreamer
341 followers · 439 posts · Server mathstodon.xyzFinite speed of Light unlocked!
(Apart of the points misbehaving when getting to close to the observer/ their antipodal)
Musical High Resolution Version: https://youtu.be/vJB7I19BzX8
#perfectloop #hypersphere #mathart #creativecoding
Non-Euclidean Dreamer · @noneuclideandreamer
341 followers · 436 posts · Server mathstodon.xyzAlright, who intoxicated the Pentachoron? 🧐
Non-Euclidean Dreamer · @noneuclideandreamer
341 followers · 434 posts · Server mathstodon.xyzJourney through the Dodecahedral Hyperprism
#hypersphere #perfectloop #mastoart #codeart
Non-Euclidean Dreamer · @noneuclideandreamer
339 followers · 431 posts · Server mathstodon.xyzThe Tesseract and its Dual, the Hexadecachoron, linked together...
#hypersphere #mastoart #tesseract #codeart
Non-Euclidean Dreamer · @noneuclideandreamer
339 followers · 430 posts · Server mathstodon.xyzJourney through the Pentachoron
#perfectloop #mastoart #hypersphere #codeart
Non-Euclidean Dreamer · @noneuclideandreamer
338 followers · 428 posts · Server mathstodon.xyzCoding Light&Shadow is going slow... Meanwhile I render some of the Polychora I implemented in the past.
This one has 200 vertices consists of Tetrahedra & Trigon-Prisms.
Non-Euclidean Dreamer · @noneuclideandreamer
337 followers · 427 posts · Server mathstodon.xyzJourney through the Hexacosichoron!
Musical High-Res Version: https://youtu.be/SZgfhs_Z5t4
Thanks to my Patrons! You keep me going! 😊
#codeart #hypersphere #3sphere #mastoart #perfectloop
Non-Euclidean Dreamer · @noneuclideandreamer
335 followers · 424 posts · Server mathstodon.xyzBack to the roots!
My Hyperspherical Raytracer was my Reason to learn coding and thus also the the source of my handle.
#mastoart #nostalgia #hypersphere #perfectloop
Pustam Raut🇳🇵(पुस्तम राउत) · @pustam_egr
13 followers · 50 posts · Server mathstodon.xyz#hypersphere #hypercube #higherdimensions
\[\dfrac{A_{circle}}{A_{square}}=\dfrac{\pi}{4}\ \ for\ \ n=2\]
\[\dfrac{V_{sphere}}{V_{cube}}=\dfrac{\pi}{6}\ \ for\ \ n=3\]
\[\dfrac{V_{hypersphere}}{V_{hypercube}}=\dfrac{\pi^{n/2}}{n2^{n-1}\Gamma(n/2)}\rightarrow0\ \ as\ \ n\rightarrow\infty\]
#higherdimensions #hypercube #hypersphere