Vitaliy Kaurov @superflow

Curious. Entangled. Chief Editor @ Wolfram Staff Picks. Physicist. linkedin.com/in/kaurov Joined May 2009

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Vitaliy Kaurov @superflow

5 days ago

How-to "see" 4th dimension in simple steps: ...using 𝐟𝐚𝐦𝐢𝐥𝐢𝐚𝐫 𝐨𝐛𝐣𝐞𝐜𝐭𝐬. 1️⃣ This 4D object = donut; 2️⃣ Cut typical 3D donut across its tube; 3️⃣ The shape of the cut is usual 2D circle; 4️⃣ Generalize by +1: cut 4D donut and get 3D shapes at the cut. Which is similar…

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Vitaliy Kaurov @superflow

3 weeks ago

𝓜𝐚𝐧𝐝𝐞𝐥𝐛𝐫𝐨𝐭 fractal encodes 𝓙𝐮𝐥𝐢𝐚 fractals. Video: 𝐰𝐡𝐢𝐭𝐞 𝐝𝐨𝐭 in 𝓜 defines connectivity of 𝓙. Both 𝓜 and 𝓙 fractals are defined as 𝐙 ↦ 𝐙²+ 𝐂 The difference? 𝓜 plots 𝐂, and 𝓙 plots 𝐙. The white dot (parameter 𝐂) travels in 𝓜 set (corners) and…

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Vitaliy Kaurov @superflow

3 weeks ago

𝐓𝐨𝐤𝐲𝐨 𝐬𝐮𝐛𝐰𝐚𝐲 is 99% on-time, world's best. But how lines can be shaped by 𝐄𝐝𝐨 𝐏𝐞𝐫𝐢𝐨𝐝 (1603–1868)? Try to guess before reading further 👇 Each dot is a train (real data) ramping up to one of the world highest peak frequencies. Goes ~40m deep. Tokyo's subway…

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Vitaliy Kaurov @superflow

4 weeks ago

🟥 or 🟦 floats above the other? This stereo illusion (𝐜𝐡𝐫𝐨𝐦𝐨𝐬𝐭𝐞𝐫𝐞𝐨𝐬𝐢𝐬) needs both eyes: close one and illusion is gone. 𝐁𝐨𝐢𝐝𝐬 or 𝐬𝐰𝐚𝐫𝐦 𝐢𝐧𝐭𝐞𝐥𝐥𝐢𝐠𝐞𝐧𝐜𝐞 type algorithm used in simulation - expand for tiny code👇 Wolfram Mathematica code (do you…

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Vitaliy Kaurov @superflow

4 months ago

𝐊𝐞𝐦𝐩𝐞'𝐬 𝐮𝐧𝐢𝐯𝐞𝐫𝐬𝐚𝐥𝐢𝐭𝐲 𝐭𝐡𝐞𝐨𝐫𝐞𝐦: There is a 𝐥𝐢𝐧𝐤𝐚𝐠𝐞 that signs your name. Proves a linkage exists to draw any algebraic planar curve. But to prove is NOT to design elegantly. Novel elegant method: community.wolfram.com/groups/-/m/t/2…

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Vitaliy Kaurov @superflow

5 months ago

𝐃𝐞𝐥𝐚𝐮𝐧𝐚𝐲 🔲 & 𝐕𝐨𝐫𝐨𝐧𝐨𝐢 🟦 meshes are DUALS of each other. 𝘤𝘰𝘳𝘳𝘦𝘴𝘱𝘰𝘯𝘥𝘪𝘯𝘨 🔲 & 🟦 edges are ⊥. 🔲 vertices <=> 🟦 cells. 🔲 triangles <=> 🟦 vertices. CODE: community.wolfram.com/groups/-/m/t/3…

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Vitaliy Kaurov @superflow

6 months ago

Twist bottom (left) ring into top shape and its 4 colored lines become 1. Cut along this line - ring remains single object. Cut many times - get 𝐂𝐚𝐧𝐭𝐨𝐫 𝐃𝐮𝐬𝐭 𝐅𝐫𝐚𝐜𝐭𝐚𝐥. 3D objects with 𝐌ö𝐛𝐢𝐮𝐬 𝐬𝐭𝐫𝐢𝐩–𝐥𝐢𝐤𝐞 characteristics. wolfr.am/1us1TUFt1

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Vitaliy Kaurov @superflow

6 months ago

Haiku for 𝐕𝐨𝐫𝐨𝐧𝐨𝐢 𝐃𝐢𝐚𝐠𝐫𝐚𝐦: 𝘐𝘯𝘬 𝘥𝘳𝘰𝘱𝘴 𝘰𝘧 𝘤𝘰𝘭𝘰𝘳𝘴 • 𝘴𝘱𝘳𝘦𝘢𝘥 𝘵𝘩𝘳𝘰𝘶𝘨𝘩 𝘱𝘢𝘱𝘦𝘳 𝘷𝘦𝘪𝘯𝘴 𝘢𝘯𝘥 𝘮𝘦𝘦𝘵 • 𝘢𝘵 𝘝𝘰𝘳𝘰𝘯𝘰𝘪 𝘸𝘦𝘣 Named after 𝐔𝐤𝐫𝐚𝐢𝐧𝐢𝐚𝐧. Ubiquitous: fire stations, protein packing, more wolfr.am/1ukxO76vZ

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Vitaliy Kaurov @superflow

7 months ago

🌓TODAY & ONCE in 2.5 years! Grab those grandpa binoculars. Go outside! Bring friends. 𝟏𝟎-𝐬𝐞𝐜𝐨𝐧𝐝 𝐯𝐢𝐝𝐞𝐨 𝐠𝐮𝐢𝐝𝐞, Wolfram-made for 𝘸𝘩𝘢𝘵, 𝘸𝘩𝘦𝘯, 𝘸𝘩𝘦𝘳𝘦 in the sky. Don't miss Americas' night show. Explore: community.wolfram.com/groups/-/m/t/3…