› Free · ages 8–16 and the grown-ups beside them
The math under the bot.
Six stops. Each one is a picture you can make with paper, a die, or a game already in this library — and the name a textbook uses for that picture.
About twenty minutes a stop. A grown-up for the last section, where the college names live. The games, the field guide, and the Foundations course stay as they are. This path adds the names and the order.
› Six stops, in order
Stop 1 of 6
A pile of chances
The next word is a pile of chances, counted from what came before.
Probability, statistics, and information theory
Open this stop →
Stop 2 of 6
Arrows for ideas
Similar ideas are arrows that point the same way.
Linear algebra and high-dimensional geometry
Open this stop →
Stop 3 of 6
Walk downhill
Learning is a short step downhill on a score you can measure.
Multivariate calculus and continuous optimization
Open this stop →
Stop 4 of 6
Routes and rules
An agent is a handful of modes, and rules for which arrow you may take.
Discrete mathematics, graphs, and automata
Open this stop →
Stop 5 of 6
Cross off the bad move
A score after the fact can change the next try.
Sequential decisions and reinforcement learning
Open this stop →
Stop 6 of 6
Tiny numbers run out
The chip has a budget of digits, and a budget of trips to memory.
Numerical analysis and computational precision
Open this stop →
› For the grown-up reading ahead
Same six fields. A door a family can open.
A university AI-systems course walks linear algebra, multivariable calculus, probability and information theory, discrete math and graphs, reinforcement learning, and numerical analysis. The usual close of that course is implementing attention, a small language model, and an alignment loop. It assumes the algebra is already in hand.
This path is those six fields, starting where a kitchen table already is: a die, a map of words, a downhill walk, a route, a score, and the fact that a chip runs out of digits. Each stop links to a build that is already free. The formal names sit at the bottom, for ages 13–16 and for you.
Hi, Bot already lets someone play most of these pictures. What it did not have is one URL that lines them up and says what the picture is called. That is this page.