What is known
Read the atlas
Fifty-one concept notes with intuition, mathematics, code, and a runnable figure, over the foundations they depend on.
Open the AtlasMathematical atlas · notebook · lab
Start with a concept, equation, mechanism, paper question, or model behavior. Follow the same object through intuition, math, code, an experiment, and an honest source boundary.
What is known
Fifty-one concept notes with intuition, mathematics, code, and a runnable figure, over the foundations they depend on.
Open the AtlasWhat you can test
Investigations that take your answer before showing the calculation. No score, streak, account, or saved answer.
Enter the LabWhat is not yet known
Research programs published by claim boundary and evidence state — including a result that reproduced and still meant something else.
Read the Atlas-64 reportWorked example · Transformer systems
One worked example from the wider atlas. Predict the memory effect, inspect the calculation, then connect the result backward to attention and forward to serving.
Attention head sharing
Thirty-two query heads enter a sealed head-sharing comparison. The changed quantity and calculated result are not shown.
The evaluated count and memory stay sealed until you lock in a guess or choose Just show me.
About two minutes · saved in this browser only if you lock in a prediction
The rule every notebook follows
Curated routes
Build the mathematical language needed for modern model training.
Move from attention mechanics to long-context inference decisions.
Use the foundations to inspect generation, alignment, and representations.
51 published notebooks