# @stem_antics on Instagram

- **Type:** Image
- **Original URL:** https://www.instagram.com/p/DSVmoulEXSt
- **Gondola URL:** https://gondola.cc/posts/76865830-stem-antics-instagram
- **Thumbnail:** https://img.gondola.cc/tr:w-,h-,fo-auto/postThumbnails/8e45101c4f.jpg
- **Posted:** 2025-12-16T20:22:08.000+00:00
- **Account Owner:** Stem Antics (@stem_antics) — https://gondola.cc/stem_antics

## Caption

The Banach–Tarski paradox says a solid sphere can be split into a finite number of pieces and reassembled into two identical copies of the original.

No stretching. No adding material.
Just math.

So what’s the catch? 👇
• The pieces are infinitely complicated
• They can’t exist physically
• It relies on the axiom of choice (a controversial rule in set theory)

In the real world? Impossible.
In pure mathematics? Totally valid.

This paradox reminds us that math isn’t just about numbers — it’s about the rules we choose and how weird infinity can get.

💬 Does this feel like math… or magic?
🔁 Share with someone who loves mind-bending ideas
💾 Save for later brain fuel

#STEMeducation #MathParadox #Infinity #PureMath #SetTheory #MindBlown #LearnOnInstagram #MathReels #StemAntics

## Stats

- **Views:** 0
- **Likes:** 129
- **Shares:** 0
- **Comments:** 1

## Credits

No public credits are recorded here. This does not identify who made the post.

## Tags

mathreels, mathparadox, stemeducation, mindblown, infinity, settheory, stemantics, puremath, learnoninstagram

---
Copyright (c) Gondola