# Carnival of Mathematics #209

DevFeed: [Carnival of Mathematics #209](<https://devfeed.tech/articles/carnival-of-mathematics-209-40457.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2022/10/02/carnival-of-mathematics-209/>)

Published: 2022-10-02T08:00:00Z

Content type: article

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [math](<https://devfeed.tech/topics/math.md>), [Graphs](<https://devfeed.tech/topics/graphs.md>), [Networks](<https://devfeed.tech/topics/networks.md>), [Cryptography](<https://devfeed.tech/topics/cryptography.md>), [Post-Quantum](<https://devfeed.tech/topics/post-quantum.md>), [Icons](<https://devfeed.tech/topics/icons.md>), [function](<https://devfeed.tech/topics/function.md>), [Mazes](<https://devfeed.tech/topics/maze.md>)

Tags: [carnival](<https://devfeed.tech/tags/carnival.md>), [cryptography](<https://devfeed.tech/tags/cryptography.md>), [function](<https://devfeed.tech/tags/function.md>), [graphs](<https://devfeed.tech/tags/graphs.md>), [knot-theory](<https://devfeed.tech/tags/knot-theory.md>), [math](<https://devfeed.tech/tags/math.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>), [matrix](<https://devfeed.tech/tags/matrix.md>), [networks](<https://devfeed.tech/tags/networks.md>), [oeis](<https://devfeed.tech/tags/oeis.md>), [post-quantum](<https://devfeed.tech/tags/post-quantum.md>), [sieve](<https://devfeed.tech/tags/sieve.md>), [umap](<https://devfeed.tech/tags/umap.md>)

## AI overview

The 209th Carnival of Mathematics highlights mathematical properties of the number 209 and curates videos, talks, workshops, and social-media discussions covering mathematical visualization, pi, geometric puzzles, graph limits, random graphs, network models, post-quantum cryptography, and related topics.

## Source excerpt

Welcome to the 209th Carnival of Mathematics! 209 has a few distinctions, including being the smallest number with 6 representations as a sum of 3 positive squares: $$\begin{aligned}209 &= 1^2 + 8^2 + 12^2 \\\ &= 2^2 + 3^2 + 14^2 \\\ &= 2^2 + 6^2 + 13^2 \\\ &= 3^2 + 10^2 + 10^2 \\\ &= 4^2 + 7^2 + 12^2 \\\ &= 8^2 + 8^2 + 9^2 \end{aligned}$$ As well as being the 43rd Ulam number, the number of partitions of 16 into relatively prime parts and the number of partitions of 63 into squares.