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Season mission · 2026-06-imaginary-renaissance

This season's discovery mission

The Renaissance of the Imaginary — 1545 to 1843

Move one question yourself, compare two states, and keep the discovery in your notebook.

0/3 discovery steps

Opening a page does not count. Only evidence that you manipulated, compared, and recorded mathematics completes this mission.

1. Manipulate

Not yet

Change a number, range, or coordinate to move the question yourself.

2. Compare

Not yet

Notice what changed in the values or pattern between the two states.

3. Record

Not yet

Save one observation and its reproducible URL to an anonymous math notebook.

Choose a question to keep

Every question uses the same three-step mission.

Collatz trajectories

Will every starting number eventually reach 1?

Start with this question
Mandelbrot boundary

Why do new patterns keep appearing as we zoom into the boundary?

Start with this question
Riemann zeros

How much closer do larger partial sums get to known zeros?

Start with this question
Counting primes

What rule does the density of primes follow as numbers grow?

Start with this question
Goldbach representations

Can every larger even number still be written as two primes?

Start with this question

Progress stores only the season and question keys plus step counts. It excludes your numbers, coordinates, calculated results, and notebook text.