# knot theory

Published articles for knot theory.

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## 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.

## Carnival of Mathematics #197

DevFeed: [Carnival of Mathematics #197](<https://devfeed.tech/articles/carnival-of-mathematics-197-40448.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2021/09/01/carnival-of-mathematics-197/>)

Published: 2021-09-01T08:00:00Z

Content type: article

Language: en

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

Topics: [Mathematics](<https://devfeed.tech/topics/mathematics.md>), [Graphics](<https://devfeed.tech/topics/graphics.md>), [Simulation](<https://devfeed.tech/topics/simulation.md>), [Data Science](<https://devfeed.tech/topics/data-science.md>)

Tags: [carnival](<https://devfeed.tech/tags/carnival.md>), [dataset](<https://devfeed.tech/tags/dataset.md>), [fibonacci](<https://devfeed.tech/tags/fibonacci.md>), [folding](<https://devfeed.tech/tags/folding.md>), [functional-analysis](<https://devfeed.tech/tags/functional-analysis.md>), [geometric-series](<https://devfeed.tech/tags/geometric-series.md>), [graphics](<https://devfeed.tech/tags/graphics.md>), [inner-product](<https://devfeed.tech/tags/inner-product.md>), [knot-theory](<https://devfeed.tech/tags/knot-theory.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>), [oeis](<https://devfeed.tech/tags/oeis.md>), [sequence](<https://devfeed.tech/tags/sequence.md>), [sieve](<https://devfeed.tech/tags/sieve.md>), [simulation](<https://devfeed.tech/tags/simulation.md>), [umap](<https://devfeed.tech/tags/umap.md>), [visualization](<https://devfeed.tech/tags/visualization.md>)

### AI overview

The 197th Carnival of Mathematics introduces the number 197 and highlights mathematical and technical topics including curve untangling, folding equilateral triangles without measurement, and criticism of UMAP and t-SNE dimensionality reduction.

### Source excerpt

Welcome to the 197th Carnival of Mathematics! 197 is an unseemly number, as you can tell by the Wikipedia page which currently says that it has "indiscriminate, excessive, or irrelevant examples." How deviant. It's also a Repfigit, which means if you start a fibonacci-type sequence with the digits 1, 9, 7, and then continue with $ a_n = a_{i-3} + a_{i-2} + a_{i-1}$, then 197 shows up in the sequence. Indeed: 1, 9, 7, 17, 33, 57, 107, 197, ...