Vitaliy Kaurov
@vitaliykaurov.bsky.social
Curious. Entangled. Director of Engagement | Chief Editor @ Wolfram Staff Picks | Physicist
https://www.linkedin.com/in/kaurov
https://www.linkedin.com/in/kaurov
AlphaFold2 (2024 Nobel Prize) predicts protein shape. This AI predicts motion—how 𝐩𝐫𝐨𝐭𝐞𝐢𝐧𝐬 𝐬𝐡𝐢𝐟𝐭 𝐛𝐞𝐭𝐰𝐞𝐞𝐧 𝐬𝐡𝐚𝐩𝐞𝐬. Motion is key to drug design. Wolfram neural net accelerates the search for optimal transitions. Explore: community.wolfram.com/groups/-/m/t...
March 11, 2025 at 5:51 PM
AlphaFold2 (2024 Nobel Prize) predicts protein shape. This AI predicts motion—how 𝐩𝐫𝐨𝐭𝐞𝐢𝐧𝐬 𝐬𝐡𝐢𝐟𝐭 𝐛𝐞𝐭𝐰𝐞𝐞𝐧 𝐬𝐡𝐚𝐩𝐞𝐬. Motion is key to drug design. Wolfram neural net accelerates the search for optimal transitions. Explore: community.wolfram.com/groups/-/m/t...
Testing 𝐝𝐚𝐭𝐚𝐯𝐢𝐳 𝐩𝐮𝐧𝐬—let me know if the joke lands. Ever seen maps like "𝘈𝘭𝘭 𝘙𝘰𝘢𝘥𝘴 𝘓𝘦𝘢𝘥 𝘵𝘰 𝘙𝘰𝘮𝘦" (𝘰𝘳 𝘗𝘢𝘳𝘪𝘴, 𝘦𝘵𝘤.)? [google it] So, do only big cities form road clusters? Nope. It's all fractals! Click to FULL screen for details. community.wolfram.com/groups/-/m/t...
March 5, 2025 at 4:37 PM
Testing 𝐝𝐚𝐭𝐚𝐯𝐢𝐳 𝐩𝐮𝐧𝐬—let me know if the joke lands. Ever seen maps like "𝘈𝘭𝘭 𝘙𝘰𝘢𝘥𝘴 𝘓𝘦𝘢𝘥 𝘵𝘰 𝘙𝘰𝘮𝘦" (𝘰𝘳 𝘗𝘢𝘳𝘪𝘴, 𝘦𝘵𝘤.)? [google it] So, do only big cities form road clusters? Nope. It's all fractals! Click to FULL screen for details. community.wolfram.com/groups/-/m/t...
𝐍𝐀𝐒𝐀: 2.3% chance asteroid hit - extremely low
𝐍𝐚𝐬𝐬𝐢𝐦 𝐓𝐚𝐥𝐞𝐛: "No. ... It may be for an individual but not for the collective. Depending on impact, if we had *significant* ones every few million years we would not be there."
community.wolfram.com/groups/-/m/t...
𝐍𝐚𝐬𝐬𝐢𝐦 𝐓𝐚𝐥𝐞𝐛: "No. ... It may be for an individual but not for the collective. Depending on impact, if we had *significant* ones every few million years we would not be there."
community.wolfram.com/groups/-/m/t...
February 25, 2025 at 5:27 PM
𝐍𝐀𝐒𝐀: 2.3% chance asteroid hit - extremely low
𝐍𝐚𝐬𝐬𝐢𝐦 𝐓𝐚𝐥𝐞𝐛: "No. ... It may be for an individual but not for the collective. Depending on impact, if we had *significant* ones every few million years we would not be there."
community.wolfram.com/groups/-/m/t...
𝐍𝐚𝐬𝐬𝐢𝐦 𝐓𝐚𝐥𝐞𝐛: "No. ... It may be for an individual but not for the collective. Depending on impact, if we had *significant* ones every few million years we would not be there."
community.wolfram.com/groups/-/m/t...
What mⓘcrocosm creates your world?
What mⓐcrocosm does your world create?
"As above, so below" - is Emerald Tablet true?
Does the whole transcend the sum of its parts?
Is spanning hierarchies reminiscent of time travel?
www.linkedin.com/feed/update/...
What mⓐcrocosm does your world create?
"As above, so below" - is Emerald Tablet true?
Does the whole transcend the sum of its parts?
Is spanning hierarchies reminiscent of time travel?
www.linkedin.com/feed/update/...
February 15, 2025 at 4:25 PM
What mⓘcrocosm creates your world?
What mⓐcrocosm does your world create?
"As above, so below" - is Emerald Tablet true?
Does the whole transcend the sum of its parts?
Is spanning hierarchies reminiscent of time travel?
www.linkedin.com/feed/update/...
What mⓐcrocosm does your world create?
"As above, so below" - is Emerald Tablet true?
Does the whole transcend the sum of its parts?
Is spanning hierarchies reminiscent of time travel?
www.linkedin.com/feed/update/...
Simply 50,000 points guided by math. A glorified plot.
𝐃𝐞𝐞𝐩𝐒𝐞𝐞𝐤-𝐑𝟏 helped to write code, strong AI for programming.
community.wolfram.com/groups/-/m/t...
𝐃𝐞𝐞𝐩𝐒𝐞𝐞𝐤-𝐑𝟏 helped to write code, strong AI for programming.
community.wolfram.com/groups/-/m/t...
February 4, 2025 at 5:35 PM
Simply 50,000 points guided by math. A glorified plot.
𝐃𝐞𝐞𝐩𝐒𝐞𝐞𝐤-𝐑𝟏 helped to write code, strong AI for programming.
community.wolfram.com/groups/-/m/t...
𝐃𝐞𝐞𝐩𝐒𝐞𝐞𝐤-𝐑𝟏 helped to write code, strong AI for programming.
community.wolfram.com/groups/-/m/t...
NOT quantum physics. Just entropy. And Sudoku. Name's a stretch, but a neat algorithm. Maxim Gumin coined Wave Function Collapse in 2016, inspired by Paul Merrell's thesis on model synthesis and by convolutional neural network style transfer. community.wolfram.com/groups/-/m/t...
January 24, 2025 at 6:30 PM
NOT quantum physics. Just entropy. And Sudoku. Name's a stretch, but a neat algorithm. Maxim Gumin coined Wave Function Collapse in 2016, inspired by Paul Merrell's thesis on model synthesis and by convolutional neural network style transfer. community.wolfram.com/groups/-/m/t...
𝐦𝐢𝐧𝐢𝐦𝐚𝐥 𝐥𝐚𝐭𝐭𝐢𝐜𝐞 𝐤𝐧𝐨𝐭𝐬 - are the shortest possible representations of knots on a lattice. Knotted DNA, protein folding, etc. Beautiful works in Wolfram Language by Clayton Shonkwiler community.wolfram.com/groups/-/m/t...
January 16, 2025 at 4:38 PM
𝐦𝐢𝐧𝐢𝐦𝐚𝐥 𝐥𝐚𝐭𝐭𝐢𝐜𝐞 𝐤𝐧𝐨𝐭𝐬 - are the shortest possible representations of knots on a lattice. Knotted DNA, protein folding, etc. Beautiful works in Wolfram Language by Clayton Shonkwiler community.wolfram.com/groups/-/m/t...
𝐍𝐨𝐭𝐡𝐢𝐧𝐠 𝐢𝐬 𝐦𝐨𝐯𝐢𝐧𝐠. Brain tricked. "Motion perception" is active 🧠 research field. The illusion forces the brain's motion-sensitive neurons to misfire via patterns that mimic real motion cues. Small adjustments to static visual elements can simulate motion. lnkd.in/eG4ZSFia
January 15, 2025 at 5:28 PM
𝐍𝐨𝐭𝐡𝐢𝐧𝐠 𝐢𝐬 𝐦𝐨𝐯𝐢𝐧𝐠. Brain tricked. "Motion perception" is active 🧠 research field. The illusion forces the brain's motion-sensitive neurons to misfire via patterns that mimic real motion cues. Small adjustments to static visual elements can simulate motion. lnkd.in/eG4ZSFia
𝐒𝐞𝐥𝐟-𝐜𝐨𝐧𝐭𝐚𝐜𝐭𝐢𝐧𝐠 𝐟𝐫𝐚𝐜𝐭𝐚𝐥 𝐭𝐫𝐞𝐞𝐬. Infinite branches, yet bound canopy. No crossings, only a touch at infinity. Paths connect all leaves. Koch & Sierpiński fractals emerge. ...blood vessels, rivers, lightning, road networks... community.wolfram.com/groups/-/m/t...
January 13, 2025 at 6:07 PM
𝐒𝐞𝐥𝐟-𝐜𝐨𝐧𝐭𝐚𝐜𝐭𝐢𝐧𝐠 𝐟𝐫𝐚𝐜𝐭𝐚𝐥 𝐭𝐫𝐞𝐞𝐬. Infinite branches, yet bound canopy. No crossings, only a touch at infinity. Paths connect all leaves. Koch & Sierpiński fractals emerge. ...blood vessels, rivers, lightning, road networks... community.wolfram.com/groups/-/m/t...
Math of frail soap films inspire ultra-strong+light materials. Iridescent colors in 🐚 🦋🪲🦜 - same structures - GYROID, minimal surfaces. CODE: community.wolfram.com/groups/-/m/t...
January 9, 2025 at 6:02 PM
Math of frail soap films inspire ultra-strong+light materials. Iridescent colors in 🐚 🦋🪲🦜 - same structures - GYROID, minimal surfaces. CODE: community.wolfram.com/groups/-/m/t...
Spheres trace 𝐥𝐨𝐠𝐚𝐫𝐢𝐭𝐡𝐦𝐢𝐜 𝐬𝐩𝐢𝐫𝐚𝐥𝐬 r = a eᵇ ᶿ on 1/x³ surface of revolution. In nature: 🌀 Spiral galaxies🌪️ Hurricane bands 🐚 Mollusk shells 🦅 Hawk dives 🌊 Spiral beaches.
Animate w/ tiny code:
community.wolfram.com/groups/-/m/t...
Animate w/ tiny code:
community.wolfram.com/groups/-/m/t...
January 3, 2025 at 8:29 PM
Spheres trace 𝐥𝐨𝐠𝐚𝐫𝐢𝐭𝐡𝐦𝐢𝐜 𝐬𝐩𝐢𝐫𝐚𝐥𝐬 r = a eᵇ ᶿ on 1/x³ surface of revolution. In nature: 🌀 Spiral galaxies🌪️ Hurricane bands 🐚 Mollusk shells 🦅 Hawk dives 🌊 Spiral beaches.
Animate w/ tiny code:
community.wolfram.com/groups/-/m/t...
Animate w/ tiny code:
community.wolfram.com/groups/-/m/t...
Don't believe me? Compute here: wolfr.am/2025-phi
Change powers and you won't get 𝐞𝐚𝐬𝐢𝐥𝐲 integers like 2025 🙂Golden Ratio is an irrational number φ = 1.618 . . . In Wolfram:
In[]:= ResourceFunction["PhiNumberSystem"][2025]
Out[]= {15,13,10,5,3,1,-6,-11,-16}
Change powers and you won't get 𝐞𝐚𝐬𝐢𝐥𝐲 integers like 2025 🙂Golden Ratio is an irrational number φ = 1.618 . . . In Wolfram:
In[]:= ResourceFunction["PhiNumberSystem"][2025]
Out[]= {15,13,10,5,3,1,-6,-11,-16}
January 2, 2025 at 5:25 PM
Don't believe me? Compute here: wolfr.am/2025-phi
Change powers and you won't get 𝐞𝐚𝐬𝐢𝐥𝐲 integers like 2025 🙂Golden Ratio is an irrational number φ = 1.618 . . . In Wolfram:
In[]:= ResourceFunction["PhiNumberSystem"][2025]
Out[]= {15,13,10,5,3,1,-6,-11,-16}
Change powers and you won't get 𝐞𝐚𝐬𝐢𝐥𝐲 integers like 2025 🙂Golden Ratio is an irrational number φ = 1.618 . . . In Wolfram:
In[]:= ResourceFunction["PhiNumberSystem"][2025]
Out[]= {15,13,10,5,3,1,-6,-11,-16}
Christmas tree = spirals, snowflakes = polygons.
🇭🇦🇵🇵🇾 🇭🇴🇱🇮🇩🇦🇾🇸 ❗
community.wolfram.com/groups/-/m/t...
🇭🇦🇵🇵🇾 🇭🇴🇱🇮🇩🇦🇾🇸 ❗
community.wolfram.com/groups/-/m/t...
December 26, 2024 at 5:26 PM
Christmas tree = spirals, snowflakes = polygons.
🇭🇦🇵🇵🇾 🇭🇴🇱🇮🇩🇦🇾🇸 ❗
community.wolfram.com/groups/-/m/t...
🇭🇦🇵🇵🇾 🇭🇴🇱🇮🇩🇦🇾🇸 ❗
community.wolfram.com/groups/-/m/t...
𝗔𝗹𝗴𝗼𝗿𝗶𝘁𝗵𝗺𝗶𝗰 𝗿𝗲𝗺𝗶𝘅 of classic art—a fascinating process:
1️⃣ evolving human intuition 2️⃣ giving art a new dimension.
Meet "Black Dragon" (remix), 1971 art piece, by celebrated Edna Andrade (1917—2008): Op Art pioneer fusing geometric precision, natural patterns, perceptual and scientific exploration.
1️⃣ evolving human intuition 2️⃣ giving art a new dimension.
Meet "Black Dragon" (remix), 1971 art piece, by celebrated Edna Andrade (1917—2008): Op Art pioneer fusing geometric precision, natural patterns, perceptual and scientific exploration.
December 19, 2024 at 5:10 PM
𝗔𝗹𝗴𝗼𝗿𝗶𝘁𝗵𝗺𝗶𝗰 𝗿𝗲𝗺𝗶𝘅 of classic art—a fascinating process:
1️⃣ evolving human intuition 2️⃣ giving art a new dimension.
Meet "Black Dragon" (remix), 1971 art piece, by celebrated Edna Andrade (1917—2008): Op Art pioneer fusing geometric precision, natural patterns, perceptual and scientific exploration.
1️⃣ evolving human intuition 2️⃣ giving art a new dimension.
Meet "Black Dragon" (remix), 1971 art piece, by celebrated Edna Andrade (1917—2008): Op Art pioneer fusing geometric precision, natural patterns, perceptual and scientific exploration.
INFINITE ZOOM recipe: 1️⃣ Build a 𝐟𝐫𝐚𝐜𝐭𝐚𝐥 2️⃣ Zoom in 3️⃣ Match a frame to the start 4️⃣ Loop
Code: community.wolfram.com/groups/-/m/t...
Code: community.wolfram.com/groups/-/m/t...
December 13, 2024 at 4:04 PM
INFINITE ZOOM recipe: 1️⃣ Build a 𝐟𝐫𝐚𝐜𝐭𝐚𝐥 2️⃣ Zoom in 3️⃣ Match a frame to the start 4️⃣ Loop
Code: community.wolfram.com/groups/-/m/t...
Code: community.wolfram.com/groups/-/m/t...
Simple 𝐬𝐢𝐧(𝐱) and 𝐜𝐨𝐬(𝐱). Another great work by the artist @yuruyurau on 𝕏. He works in P5.JS Processing language which I translates to WOLFRAM: wolfr.am/1rACHZqHT
December 12, 2024 at 4:55 PM
Simple 𝐬𝐢𝐧(𝐱) and 𝐜𝐨𝐬(𝐱). Another great work by the artist @yuruyurau on 𝕏. He works in P5.JS Processing language which I translates to WOLFRAM: wolfr.am/1rACHZqHT
NEW: all KNOTS can embed in Menger Sponge FRACTAL.
Wolfram's 𝗞𝗻𝗼𝘁𝗗𝗮𝘁𝗮[ ] & 𝗠𝗲𝗻𝗴𝗲𝗿𝗠𝗲𝘀𝗵[ ] are relevant functions.
Wolfram's 𝗞𝗻𝗼𝘁𝗗𝗮𝘁𝗮[ ] & 𝗠𝗲𝗻𝗴𝗲𝗿𝗠𝗲𝘀𝗵[ ] are relevant functions.
December 6, 2024 at 4:19 PM
NEW: all KNOTS can embed in Menger Sponge FRACTAL.
Wolfram's 𝗞𝗻𝗼𝘁𝗗𝗮𝘁𝗮[ ] & 𝗠𝗲𝗻𝗴𝗲𝗿𝗠𝗲𝘀𝗵[ ] are relevant functions.
Wolfram's 𝗞𝗻𝗼𝘁𝗗𝗮𝘁𝗮[ ] & 𝗠𝗲𝗻𝗴𝗲𝗿𝗠𝗲𝘀𝗵[ ] are relevant functions.
Simple. Beautiful. Math. ⛶ ⏸ ⏪ ⏩ #wolfram
coor[r_,p_,t_]:={Sin[r]Cos[p], Cos[r]Cos[p+t], Sin[Tan[p/9+t]]};
point[t_]=Flatten[Table[coor[r,p,t],{r,0,2 Pi,Pi/99},{p,0,Pi,Pi/99}],1];Manipulate[Graphics3D[{PointSize[.005],Opacity[.5],Point[point[t]]},PlotRange->1],{t,0,2 Pi}]
coor[r_,p_,t_]:={Sin[r]Cos[p], Cos[r]Cos[p+t], Sin[Tan[p/9+t]]};
point[t_]=Flatten[Table[coor[r,p,t],{r,0,2 Pi,Pi/99},{p,0,Pi,Pi/99}],1];Manipulate[Graphics3D[{PointSize[.005],Opacity[.5],Point[point[t]]},PlotRange->1],{t,0,2 Pi}]
November 28, 2024 at 6:51 AM
Simple. Beautiful. Math. ⛶ ⏸ ⏪ ⏩ #wolfram
coor[r_,p_,t_]:={Sin[r]Cos[p], Cos[r]Cos[p+t], Sin[Tan[p/9+t]]};
point[t_]=Flatten[Table[coor[r,p,t],{r,0,2 Pi,Pi/99},{p,0,Pi,Pi/99}],1];Manipulate[Graphics3D[{PointSize[.005],Opacity[.5],Point[point[t]]},PlotRange->1],{t,0,2 Pi}]
coor[r_,p_,t_]:={Sin[r]Cos[p], Cos[r]Cos[p+t], Sin[Tan[p/9+t]]};
point[t_]=Flatten[Table[coor[r,p,t],{r,0,2 Pi,Pi/99},{p,0,Pi,Pi/99}],1];Manipulate[Graphics3D[{PointSize[.005],Opacity[.5],Point[point[t]]},PlotRange->1],{t,0,2 Pi}]
𝗗𝗼𝘂𝗯𝗹𝗲 𝗣𝗲𝗻𝗱𝘂𝗹𝘂𝗺 is simplest mechanical system with CHAOS. Obvious are regions of chaotic vs periodic motion. Such systems are sensitive to initial conditions, nearby solutions rapidly diverge in chaos regions. FULL screen ⛶ ⏸ ⏪ ⏩ community.wolfram.com/groups/-/m/t...
November 27, 2024 at 5:52 PM
𝗗𝗼𝘂𝗯𝗹𝗲 𝗣𝗲𝗻𝗱𝘂𝗹𝘂𝗺 is simplest mechanical system with CHAOS. Obvious are regions of chaotic vs periodic motion. Such systems are sensitive to initial conditions, nearby solutions rapidly diverge in chaos regions. FULL screen ⛶ ⏸ ⏪ ⏩ community.wolfram.com/groups/-/m/t...
Quick way to count cannonballs in a pyramid?
⏸ ⏪ ⏩ to understand better.
CHALLENGE: at what 𝐧 the sum ∑ is a 𝐬𝐪𝐮𝐚𝐫𝐞 𝐧𝐮𝐦𝐛𝐞𝐫?
⏸ ⏪ ⏩ to understand better.
CHALLENGE: at what 𝐧 the sum ∑ is a 𝐬𝐪𝐮𝐚𝐫𝐞 𝐧𝐮𝐦𝐛𝐞𝐫?
November 21, 2024 at 5:56 PM
Quick way to count cannonballs in a pyramid?
⏸ ⏪ ⏩ to understand better.
CHALLENGE: at what 𝐧 the sum ∑ is a 𝐬𝐪𝐮𝐚𝐫𝐞 𝐧𝐮𝐦𝐛𝐞𝐫?
⏸ ⏪ ⏩ to understand better.
CHALLENGE: at what 𝐧 the sum ∑ is a 𝐬𝐪𝐮𝐚𝐫𝐞 𝐧𝐮𝐦𝐛𝐞𝐫?
Millennium-old hand-crafted tradition rewritten in math & code, paper / ink marbling: community.wolfram.com/groups/-/m/t...
November 18, 2024 at 6:11 AM
Millennium-old hand-crafted tradition rewritten in math & code, paper / ink marbling: community.wolfram.com/groups/-/m/t...