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Counting Gets Interesting When Things Start Repeating

Why counting "at least one" is harder than it looks, how overcounting sneaks in, and what anagrams reveal about arranging things that aren't all unique

... 3/18/26 Discrete Math for Algorithms

Every App You Use Is Really Just a Conversation

How the patterns behind modern apps — request/response, async, routing, threads — map to restaurants, kitchens, and apartment buildings.

... 3/17/26

Regular Languages Stay Regular No Matter What You Do to Them

How to build DFAs for specific patterns, why flipping accept states gives you the complement, and how running two machines in parallel proves closure under union

... 3/16/26 Theory of Computation

Patterns Look Different When a Machine Has to Actually Check Them

How regular expressions formally describe patterns, and how DFAs — the simplest possible machines — actually verify them, one character at a time

... 3/16/26 Theory of Computation

What Can Computers Actually Solve, and How Do We Know?

An intro to the theory of computation — decision problems, formal languages, and regular expressions explained through the lens of what machines can and cannot do

... 3/16/26 Theory of Computation

Why a Forgery Looks Ugly the Moment You Learn It's Fake

How origin, history, and hidden essences shape our pleasure from art, food, and people — and why you can't enjoy a Nazi's favorite painting once you know it's a fake

... 3/15/26 Beauty and the Brain

What Makes a Face Beautiful and How Much of It Is Biology?

Cross-cultural studies, infant preferences, and the uncomfortable history of measuring facial attractiveness — plus why babies and isolated tribes agree on beauty more than you'd expect

... 3/15/26 Beauty and the Brain

Why a Picture of a Brain Makes You Believe Bad Science

The voodoo correlations problem, why beauty probably isn't located in one brain region, and what the aesthetic triad actually tells us about how we experience art

... 3/15/26 Beauty and the Brain

Your Brain Rewards You for Seeing What Artists Want You to See

How peak shift, Bayesian perception, and perceptual grouping explain why art works — and why artists have been exploiting your visual system for centuries

... 3/15/26 Beauty and the Brain

Is Art an Instinct or Did We Just Make It Up?

Why art resists every definition, how duct-taped bananas end up in museums, and the evolutionary debate over whether creating art is built into our DNA

... 3/15/26 Beauty and the Brain

Four Theories That Try to Explain Why You Like What You Like

Mere exposure, arousal dynamics, prototype theory, and fluency — how psychologists have tried to crack the code of aesthetic preference, and where each theory breaks down

... 3/15/26 Beauty and the Brain

How Do You Actually Study Beauty in a Lab?

What happens when researchers try to measure something as subjective as beauty — and why the gap between what we feel and what we can test matters

... 3/15/26 Beauty and the Brain