The solving desk

Let a die or a cube put one open problem in view.

I kept the ledger beside the toys: every open world problem and every open house problem can arrive here by chance or by a direct link.

The open set

One roll, the same scramble.

Roll the die or scramble the cube. Each action chooses uniformly from problems marked open, then reveals the same desk blocks.

A throw chooses from the full open ledger.

Preparing a random open problem.