Cliff Pickover

@pickover • 229,692 subscribers

Increase your sense of wonder. (Author of 50 books & 800 patents. Yale Ph.D.) "Pickover contemplates realms beyond our known reality." ~NY Times

Shorts

Mathematics, computer programming, engineering, motion, creativity. This is a linkage-mechanism for converting Binary Numbers to Decimal Numbers. Created by 上木敬士郎/Keishiro Ueki, 上木敬士郎 / Keishiro Ueki, Used with permission.

65,118 views

Engineering, mathematics. Unconventional gears. The center of a logarithmic spiral traces a straight line as it is rolled. By Matt Henderson, Matt Henderson, used with permission.

1,467,413 views

Life on the Edge. Creatures from mathematics. We are Not Alone. Experimenting with simulated ecosystems. By SPACEFILLER, Used with permission.

17,566 views

Math. A rare peek from within a "Gyroid," a fascinating minimal surface in geometry that separates space into two oppositely congruent labyrinths of passages. By Andrea Belloni, Water flowing | anbello.eth | anbello.tez, Used with permission. This infinitely extending "labyrinth" surface divides all of space into two identical, intertwined, mirror-image passages: without ever intersecting itself. Discovered by mathematician Alan Schoen in 1970, it's a triply periodic minimal surface (zero mean curvature everywhere, like a soap film), with no straight lines or mirror symmetry. It can be approximated by the surprisingly simple equation: sin(x)cos(y) + sin(y)cos(z) + sin(z)cos(x) = 0. Nature loves it too: gyroid nanostructures in butterfly wing scales create iridescent colors through light interference, and similar forms appear in cell membranes, polymers, and even ketchup-like fluids. It's a superstar in materials science for lightweight, strong 3D-printed structures and photonic crystals.

40,847 views

Visualization by Andrea Belloni, Water flowing | anbello.eth | anbello.tez, Used with permission. Physicist Roger Penrose wrote: "Everything in the physical Universe is indeed governed in completely precise detail by mathematical principles — perhaps by equations... or perhaps by some future mathematical notions fundamentally different from those which we would today label by the term ‘equations’.... Even our own physical actions would be entirely subject to such ultimate mathematical control, where ‘control’ might still allow for some random behaviour governed by strict probabilistic principles." ~ The Road to Reality Belloni visualization employs 256K particles.

27,964 views

Mathematics and mystery. "Two Ellipses." By Idan Tal, Idan Tal, Used with permission

53,397 views

Math and the Mind. Dodecahedron. By Andrea Belloni, Water flowing | anbello.eth | anbello.tez, Used with permission. In your personal opinion, do dodecahedrons exist, or are they abstract ideal geometries, Platonic solids that exist in some non-human realm? Perhaps they exist in both ways: as precise, abstract mathematical ideals and as real physical objects you can hold, study, or even find in ancient ruins and nature. The abstract, ideal version a convex polyhedron with 12 identical regular pentagonal faces, 20 vertices, and 30 edges, where the same number of faces meet at each vertex (all faces congruent, all angles equal, etc.). Platonists argue these forms inhabit an abstract realm independent of human minds or the physical universe. Others see them as human inventions or patterns inherent to logic and reality itself. [Humans have been building dodecahedrons for millennia, and close approximations appear, such as pyritohedrons in pyrite (fool's gold) crystals.]

17,327 views

World map shows global population distribution by latitude and longitude. (Will this be very different in 50 years?) By Engaging Data, Used with permission.

85,149 views

Mathematics, algorithms, spirals, geometry, programming. "The Hidden Music of Concentric Souls." Rotational Moiré Interference from Phase-Shifted Polar Sources. Animation by A. L. Crego, Used with permission

72,333 views

Mathematics. By Daniel Mentrard, Daniel Mentrard, Source: Used with permission.

52,351 views

Mathematics, motion, polygons, alignment, harmony. The journey begins. By dave, Used with permission.

136,334 views

Mathematics. Procedural animation. Harmonic tango. By Etienne Jacob, Etienne Jacob, Source: Used with permission.

35,796 views

Mathematics and beauty. "It's called the Lorenz 𝘢𝘵𝘵𝘳𝘢𝘤𝘵𝘰𝘳 because all nearby points are 𝘢𝘵𝘵𝘳𝘢𝘤𝘵𝘦𝘥 into the set of chaotic orbits, regardless of initial conditions." By Ben Bartlett, Ben Bartlett, Source: Used with permission.

119,183 views

Mathematics. Fractals. → Sierpiński pyramid. Infinity in your hand. Credit: I didn’t upload this video to 𝕏. I’m pointing to a video residing in the 𝕏 stream of “creapills” (Jul 18, 2020). [math, maths]

31,564 views

This is a mathematics joke. Source:

75,473 views

Mathematics. Fractals. Mandelbrot. Infinity. Created by iterating simple formulas, revealing the mystery of math. How chaos theory and iteration can birth entire universes that look alive. By Trips, Used with permission.

14,271 views

Math, "3.14 means we'll meet again." 𝑍(𝜃)=𝑒^(𝑖𝜃) + 𝑒^(𝑖3.14𝜃) →Credit: I didn’t upload this video to 𝕏. I’m pointing to a video residing in the 𝕏 stream of “Viral Vibes”, 𝕏 ID “x_viral_vibes” (Dec 29, 2025)

14,358 views

Infinity Ring. A ring built from the Julia Sets that lie along the main cardioid of the Mandelbrot Set. By Matt Henderson, Matt Henderson, used with permission.

15,306 views

$Mathematics. A close look at the infinite swirling of the Rössler Attractor, which exhibits chaotic dynamics and fractal properties. Like a cosmic taffy-pulling machine. By Marcus Volz, Used with permission.$

Mathematics. A close look at the infinite swirling of the Rössler Attractor, which exhibits chaotic dynamics and fractal properties. Like a cosmic taffy-pulling machine. By Marcus Volz, Used with permission.

17,598 views

Technology. A vision of our future. Our AI overlords. Bowling. Robots. Power. By Tom Coben, CGI, used with permission.

18,257 views

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