John D. Cook
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johndcook.mathstodon.xyz.ap.brid.gy
John D. Cook
@johndcook.mathstodon.xyz.ap.brid.gy
Consultant in applied mathematics and data privacy

https://www.johndcook.com

[bridged from https://mathstodon.xyz/@johndcook on the fediverse by https://fed.brid.gy/ ]
November 28, 2025 at 9:37 PM
A triangle whose interior angles sum to zero

https://www.johndcook.com/blog/2025/11/28/tricusp-triangle/
November 28, 2025 at 5:54 PM
There are multiple equivalent expressions for the metric on the Poincare half plane, but they all look different.

https://www.johndcook.com/blog/2025/11/27/hyperbolic-metric-formulas/
November 27, 2025 at 1:28 PM
November 25, 2025 at 1:27 AM
November 24, 2025 at 5:31 PM
The sum of the reciprocals of consecutive integers is never an integer.

József Kürschák, 1908.
November 19, 2025 at 12:49 PM
November 18, 2025 at 1:20 PM
November 16, 2025 at 8:33 PM
Four generalizations of the Pythagorean theorem

https://www.johndcook.com/blog/2025/11/13/pythagorean-generalizations/
November 13, 2025 at 3:31 PM
The graph below appears to show that the correlation between two stocks peaks about every 50 days. But this is purely an analysis artifact. The two series are in fact independent random walks. Shows how analysis can be misleading.

https://www.johndcook.com/blog/2025/11/09/rolling-correlation/
November 9, 2025 at 7:03 PM
There's talk of building gigawatt data centers. How much is a gigawatt? https://www.johndcook.com/blog/2025/11/07/how-much-is-a-gigawatt/
November 7, 2025 at 2:17 PM
The sum of the inradii in any triangulation of a cyclic polygon is the same for all triangulations.

https://www.johndcook.com/blog/2025/11/05/japanese-polygon-theorem/
November 5, 2025 at 12:03 PM
The Pythagorean theorem squares the lengths of the sides in a right triangle. An analogous theorem squares the areas of faces of a right tetrahedron and generalizes to higher dimensions.

https://www.johndcook.com/blog/2025/11/03/de-gua/
November 3, 2025 at 4:44 PM
November 2, 2025 at 10:14 PM
November 2, 2025 at 1:13 PM
Capitalization impacts the size of QR codes

https://www.johndcook.com/blog/2025/10/31/smaller-qr-codes/
October 31, 2025 at 3:55 PM
An ancient generalization of Pythagorean theorem

https://www.johndcook.com/blog/2025/10/30/apollonius-theorem/
October 30, 2025 at 1:11 PM
October 29, 2025 at 3:20 PM
October 28, 2025 at 2:09 PM
How blocks are chained in a blockchain, in full detail

https://www.johndcook.com/blog/2025/10/27/blockchain/
October 27, 2025 at 4:00 PM
Follow up to my post on the Smith chart:
How to adjust the spacing of the circles

https://www.johndcook.com/blog/2025/10/25/smith-chart-spacing/
October 25, 2025 at 2:57 PM
October 23, 2025 at 2:24 PM
October 22, 2025 at 1:07 PM
October 20, 2025 at 12:16 PM
October 18, 2025 at 7:55 PM