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nemo™ 🇺🇦<p>Four <a href="https://mas.to/tags/Dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Dimensional</span></a> <a href="https://mas.to/tags/Reverb" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Reverb</span></a> by AIHVHIA </p><p><a href="https://youtu.be/wLJHF-WjMes" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">youtu.be/wLJHF-WjMes</span><span class="invisible"></span></a></p><p><a href="https://mas.to/tags/yt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>yt</span></a></p>
eris<p>non-traditional mandala</p><p><a href="https://universeodon.com/tags/Mandala" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mandala</span></a> <a href="https://universeodon.com/tags/PaperArtStyle" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PaperArtStyle</span></a> <a href="https://universeodon.com/tags/3d" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>3d</span></a> <a href="https://universeodon.com/tags/Dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Dimensional</span></a> <a href="https://universeodon.com/tags/Vibrant" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Vibrant</span></a> <a href="https://universeodon.com/tags/Floral" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Floral</span></a> <a href="https://universeodon.com/tags/Blue" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Blue</span></a> <a href="https://universeodon.com/tags/Purple" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Purple</span></a> <a href="https://universeodon.com/tags/GoldAccents" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GoldAccents</span></a> <a href="https://universeodon.com/tags/Intricate" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Intricate</span></a> <a href="https://universeodon.com/tags/GeometricPatterns" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GeometricPatterns</span></a> <br><a href="https://universeodon.com/tags/Img2img" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Img2img</span></a> <a href="https://universeodon.com/tags/AiArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AiArt</span></a> <a href="https://universeodon.com/tags/AiArtists" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AiArtists</span></a> <a href="https://universeodon.com/tags/AiArtCommunity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AiArtCommunity</span></a> <a href="https://universeodon.com/tags/StableDiffusion" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>StableDiffusion</span></a></p><p>in real life: <a href="https://aieris.art/featured/non-traditional-mandala-eris-and-ai.html" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">aieris.art/featured/non-tradit</span><span class="invisible">ional-mandala-eris-and-ai.html</span></a></p>
The Krononaut Moon Project 🌑<p>&nbsp;<br><a href="https://me.dm/tags/TimeTravel" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TimeTravel</span></a> (<a href="https://me.dm/tags/retrograde" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>retrograde</span></a>) is transporting anything into the <a href="https://me.dm/tags/past" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>past</span></a>: a <a href="https://me.dm/tags/person" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>person</span></a>, a <a href="https://me.dm/tags/quantum" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantum</span></a> <a href="https://me.dm/tags/signal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>signal</span></a>, a <a href="https://me.dm/tags/thought" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>thought</span></a>.</p><p>Resulting from some combination of:<br>• <a href="https://me.dm/tags/QuantumEntanglement" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumEntanglement</span></a><br>• <a href="https://me.dm/tags/Wormholes" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Wormholes</span></a><br>• <a href="https://me.dm/tags/DarkEnergy" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>DarkEnergy</span></a> &amp; <a href="https://me.dm/tags/DarkMatter" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>DarkMatter</span></a><br>• <a href="https://me.dm/tags/ManyWorlds" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ManyWorlds</span></a> &amp; <a href="https://me.dm/tags/Multiverse" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Multiverse</span></a><br>• <a href="https://me.dm/tags/Tachyons" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Tachyons</span></a> &amp; faster-than-light (superluminal) <a href="https://me.dm/tags/particles" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>particles</span></a><br>• <a href="https://me.dm/tags/Consciousness" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Consciousness</span></a> may involve quantum processes in the <a href="https://me.dm/tags/brain" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>brain</span></a><br>• Rotating cylinders or gyroscopes (after <a href="https://me.dm/tags/HGWells" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>HGWells</span></a>)<br>• Higher <a href="https://me.dm/tags/dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dimensional</span></a> <a href="https://me.dm/tags/geometries" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometries</span></a>, folding or looping <a href="https://me.dm/tags/SpaceTime" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>SpaceTime</span></a><br>• &amp; c …</p><p><a href="https://me.dm/tags/Kronodon" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Kronodon</span></a></p>
The Krononaut Moon Project 🌑<p><a href="https://me.dm/tags/4dToys" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>4dToys</span></a>: a <a href="https://me.dm/tags/Box" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Box</span></a> of <a href="https://me.dm/tags/Four" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Four</span></a> <a href="https://me.dm/tags/Dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Dimensional</span></a> <a href="https://me.dm/tags/Toys" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Toys</span></a></p><p>We've shared this <a href="https://me.dm/tags/video" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>video</span></a> before, but it's one of our favorites on the problem of <a href="https://me.dm/tags/visualizing" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>visualizing</span></a> or <a href="https://me.dm/tags/conceptualizing" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>conceptualizing</span></a> higher <a href="https://me.dm/tags/dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dimensional</span></a> <a href="https://me.dm/tags/geometries" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometries</span></a>. The 4th dimension is not always <a href="https://me.dm/tags/Time" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Time</span></a>, but is perpendicular to the lower 3. Watch as these objects slip in &amp; out of our <a href="https://me.dm/tags/World" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>World</span></a>, like <a href="https://me.dm/tags/TimeTravelers" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TimeTravelers</span></a>!</p><p>🔗 <a href="https://www.youtube.com/watch?v=0t4aKJuKP0Q" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">youtube.com/watch?v=0t4aKJuKP0</span><span class="invisible">Q</span></a> 02 Jun 2017 <br>🔗 <a href="https://Wikipedia.org/wiki/Four-dimensional_space" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">Wikipedia.org/wiki/Four-dimens</span><span class="invisible">ional_space</span></a> </p><p><a href="https://me.dm/tags/Community" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Community</span></a> <a href="https://me.dm/tags/TimeTravel" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TimeTravel</span></a> <a href="https://me.dm/tags/Research" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Research</span></a> <a href="https://me.dm/tags/4d" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>4d</span></a> <a href="https://me.dm/tags/vr" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>vr</span></a> <a href="https://me.dm/tags/tesseract" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tesseract</span></a> <a href="https://me.dm/tags/hypercube" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>hypercube</span></a> <a href="https://me.dm/tags/hypersphere" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>hypersphere</span></a> <a href="https://me.dm/tags/KrononautMoon" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>KrononautMoon</span></a></p>
AM<p><a href="https://mas.to/tags/higher" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>higher</span></a> <a href="https://mas.to/tags/dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dimensional</span></a> <a href="https://mas.to/tags/travel" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>travel</span></a> <a href="https://mas.to/tags/snapshots" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>snapshots</span></a> #80916 if I told u everything u wouldn't believe me...</p>
Kemal ASLAN<p>Yeni Zelanda'lı Toby abla bir aydır ortalıklarda yoktu ve benim en sevdiğim konulardan biri olan ''Üst Boyutlar'' konusu ile geri döndü! </p><p><a href="https://mastodon.online/tags/Physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Physics</span></a> <a href="https://mastodon.online/tags/Dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Dimensional</span></a> </p><p><a href="https://youtu.be/yQOFzsRXG1Y?si=xzp-7HuvdhiiJdo8" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">youtu.be/yQOFzsRXG1Y?si=xzp-7H</span><span class="invisible">uvdhiiJdo8</span></a></p>
shadowmice<p>Mosaic Heart<br><a href="https://mstdn.ca/tags/artrage" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>artrage</span></a> <a href="https://mstdn.ca/tags/icolorama" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>icolorama</span></a> <a href="https://mstdn.ca/tags/digitalart" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>digitalart</span></a> <a href="https://mstdn.ca/tags/mosaic" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mosaic</span></a> <a href="https://mstdn.ca/tags/textures" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>textures</span></a> <a href="https://mstdn.ca/tags/red" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>red</span></a> <a href="https://mstdn.ca/tags/dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dimensional</span></a> <a href="https://mstdn.ca/tags/arttherapy" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>arttherapy</span></a> <a href="https://mstdn.ca/tags/mindfulness" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mindfulness</span></a> <a href="https://mstdn.ca/tags/relaxation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>relaxation</span></a></p>
Akshar Varma<p>My favorite ways to frame some of the most interesting (counterintuitive) facts about high <a href="https://mathstodon.xyz/tags/dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dimensional</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a>.</p><p>1. Cubes are Caltrops. (yes, <a href="https://mathstodon.xyz/tags/dnd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dnd</span></a> reference)<br>2. Spheres are tops. (the tops you spin, thin on both ends, fat in the middle)<br>3. Mangoes &gt; Oranges (but only in high dimensions, in 3D I prefer oranges)<br>4. Orthogonality (I don't have a catchy way of saying this. Upstanding vectors?)<br>5. Orthogonal everywhere (when dimensions are <a href="https://mathstodon.xyz/tags/infinite" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>infinite</span></a>)<br>6. Unit sphere vectors are tiny (their coordinates are mostly very small; yes I know the statement as is, is wrong)</p><p>Caltrops is simply a consequence of my (everyone's?) favorite theorem about right angled triangles: <a href="https://mathstodon.xyz/tags/Pythagoras" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Pythagoras</span></a> theorem. </p><p>Consider the unit cube in 𝑛 dimensional space. The circumradius, via repeated application of Pythagoras, is equal to √𝑛. On the other hand, the inradius is fixed at 1/2. </p><p>This gives rise to the pointy cubes visual for high dimensions. The vertices/corners of the unit cube will shoot out compared to the unit circle, despite the faces of the cube staying close. </p><p>I've also heard this referred to as "cubes in high dimensions are sea urchins." I like both names, but caltrop is just a fun word to say.</p><p>The remaining facts are consequences of exponential decay, which I'll go through in the next post in this thread.</p>
Keith J Chouinard :verified:<p>It is obvious why so many people refuse to speak honestly about their actual experiences in <a href="https://universeodon.com/tags/Psychic" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Psychic</span></a> <a href="https://universeodon.com/tags/Spirit" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Spirit</span></a> <a href="https://universeodon.com/tags/Empath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Empath</span></a> <a href="https://universeodon.com/tags/Higher" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Higher</span></a> <a href="https://universeodon.com/tags/Dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Dimensional</span></a> matters, when there are so many unexperienced/unaware people claiming to know these things do not exist.</p>
Keith J Chouinard :verified:<p>Lower <a href="https://universeodon.com/tags/Dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Dimensional</span></a> <a href="https://universeodon.com/tags/ThoughtConstructs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ThoughtConstructs</span></a> cannot <a href="https://universeodon.com/tags/Fathom" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Fathom</span></a> <a href="https://universeodon.com/tags/HigherDimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>HigherDimensional</span></a> <a href="https://universeodon.com/tags/Truths" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Truths</span></a> </p><p>Some things need to be <a href="https://universeodon.com/tags/Experienced" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Experienced</span></a> to be <a href="https://universeodon.com/tags/Comprehended" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Comprehended</span></a></p>
Published papers at TMLR<p>A geometrical connection between sparse and low-rank matrices and its application to manifold lea...</p><p>Lawrence K. Saul</p><p><a href="https://openreview.net/forum?id=p8gncJbMit" rel="nofollow noopener" target="_blank"><span class="invisible">https://</span><span class="ellipsis">openreview.net/forum?id=p8gncJ</span><span class="invisible">bMit</span></a></p><p><a href="https://sigmoid.social/tags/sparse" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>sparse</span></a> <a href="https://sigmoid.social/tags/manifold" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>manifold</span></a> <a href="https://sigmoid.social/tags/dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dimensional</span></a></p>
Keith J Chouinard :verified:<p><span class="h-card"><a href="https://mastodon.sdf.org/@sfiscience" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>sfiscience</span></a></span> some would <a href="https://universeodon.com/tags/claim" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>claim</span></a> <a href="https://universeodon.com/tags/consciousness" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>consciousness</span></a> starts from the realm of <a href="https://universeodon.com/tags/spirit" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>spirit</span></a> and enters the <a href="https://universeodon.com/tags/physicalrealm" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physicalrealm</span></a> and <a href="https://universeodon.com/tags/manifests" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>manifests</span></a> within the <a href="https://universeodon.com/tags/mind" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mind</span></a> and then <a href="https://universeodon.com/tags/language" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>language</span></a> is born. <a href="https://universeodon.com/tags/spiritualconsciousness" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>spiritualconsciousness</span></a> rules <a href="https://universeodon.com/tags/psychological" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>psychological</span></a> or <a href="https://universeodon.com/tags/mental" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mental</span></a> consciousness it deals with <a href="https://universeodon.com/tags/dimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dimensional</span></a> <a href="https://universeodon.com/tags/realities" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>realities</span></a></p>