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November 17, 2025 at 6:11 PM
The Banach–Tarski paradox is a theorem in set‑theoretic geometry.
It shows a solid ball can be divided into a finite number of pieces and reassembled into two identical balls without stretching or adding material. 🧵⬇️ (1/3)
It shows a solid ball can be divided into a finite number of pieces and reassembled into two identical balls without stretching or adding material. 🧵⬇️ (1/3)
November 16, 2025 at 8:39 PM
The Banach–Tarski paradox is a theorem in set‑theoretic geometry.
It shows a solid ball can be divided into a finite number of pieces and reassembled into two identical balls without stretching or adding material. 🧵⬇️ (1/3)
It shows a solid ball can be divided into a finite number of pieces and reassembled into two identical balls without stretching or adding material. 🧵⬇️ (1/3)
November 10, 2025 at 3:10 PM
Sound can do more than carry music; high‑intensity sound waves can lift small objects. Acoustic levitation uses standing sound waves to suspend solids, liquids, or droplets in midair. 🧵⬇️ (1/4)
November 9, 2025 at 4:03 PM
Sound can do more than carry music; high‑intensity sound waves can lift small objects. Acoustic levitation uses standing sound waves to suspend solids, liquids, or droplets in midair. 🧵⬇️ (1/4)