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The Daily Triptych223 / 365

11 AUG 2026

Day 223

He who by reviewing the old can gain knowledge of the new is fit to be a teacher.

Confucius · The Analects
A very small sheet of aged paper covered in quick brown pen lines: a seated woman bending over an infant who twists in her arms towards a cat. Faint scored lines and patches of brown wash lie under and around the inked drawing.

I · THE OBJECT · BRITISH MUSEUM

Study for the Madonna of the Cat

Leonardo da Vinci · 15th century · Pen, ink and bistre on paper

Two drawings on one small sheet, front and back, by Leonardo. Hold it up to the light and the two designs line up as mirror images of each other.

Enter lesson 5 MIN

II · THE IDEA · ARTIFICIAL INTELLIGENCE

Feature Learning: The Lazy-to-Rich Transition

theory · wide-network limits · gradient descent and network width

Widen a network far enough and, under the usual scaling, training stops changing its internal features at all. It only reweights random ones. The loss still falls. Something has quietly gone missing.

Enter lesson 7 MIN

Written before source checking was enforced · facts in this lesson are unverified

A crowded outdoor table under a striped awning. Figures in summer clothing lean on a railing, hold glasses, talk across the table. A woman at left holds a small dog. Bottles and fruit are scattered on the white cloth.

III · THE WORK · ART HISTORY

Luncheon of the Boating Party

Pierre-Auguste Renoir · 1880 · Oil on canvas

Renoir filled a canvas with people he knew, wine bottles still on the table, and light that changes quality from one figure to the next across a single afternoon.

Enter lesson 6 MIN

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