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  • August 25, 2025
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Variations on Knuth’s Twindragon

A couple days ago I wrote about Donald Knuth’s expression for the twindragon fractal as a sum of powers of b = 1 − i. Simone Conradi made a nice animation replacing (1 − i) with exp(2πit) (1 − i). The animation loops over values of t. Here’s what you get when t = 0.3.

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  • August 25, 2025
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Chris’ Corner: Pretty Palettes

I’m not terribly good at picking a good color palette out of thin air. My go-to is a dark look with bright colored accents, but I’m wildly envious whenever I see a beautiful website with great looking colors that are very far away from what I could pull off. Sometimes,

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  • August 25, 2025
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Making continuous learning work at work

The most effective learning doesn’t happen in a classroom. It happens during work.

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  • August 24, 2025
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Intuition for Pick’s Theorem

Pick’s theorem is a surprising and useful to find the area of a region formed by connecting dots on a grid. The area is simply A = i + p/2 − 1 where i is the number of dots in the interior and p is the number of dots on the perimeter. Example

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  • August 23, 2025
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Knuth’s Twindragon

A few days ago I wrote about a random process that creates a fractal known as the Twin Dragon. This post gives a deterministic approach to create the same figure. As far as I can tell, the first reference to this fractal is in a paper by Davis and Knuth

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  • August 23, 2025
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What’s hierarchical about a hierarchical wallet?

A few days ago I wrote about what’s in a crypto wallet. In that post I said that most crypto wallets now are hierarchical deterministic (HD) wallets.  And I said that HD wallets are deterministic in the sense that they derive all their keys from a seed phrase. But in

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  • August 23, 2025
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Redux without React — State Management in Vanilla JavaScript

Moritz Kröger discusses his experiences of using Redux without React — the problems  faced, the solutions attempted and the lessons learned along the way. Continue reading Redux without React — State Management in Vanilla JavaScript on SitePoint.

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  • August 22, 2025
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Robots in the skies (and they use Transformer models)

Ryan welcomes Nathan Michael, CTO at Shield AI, to discuss what AI looks like in defense technologies, both technically and ethically.

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  • August 22, 2025
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Punch Cards and Dollar Bills

Today I learned that the size and shape of a punch card was chosen to be the same as US paper money at the time. At the time a US bank note had dimensions 3.25″ by 7.375″. This was sometime prior to 1929 [1] when the size of a bank

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  • August 21, 2025
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Why It Took Us Seven Years to Find Product Market Fit

Seven years of crashes, pivots, and resilience led to a Web3 music platform where fans become true stakeholders in the artists they love. Continue reading Why It Took Us Seven Years to Find Product Market Fit on SitePoint.

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