THE FIRST EXPEDITION

One plane. Two worlds.

Follow the square root beyond its principal branch.

f(s) = √s LEVEL 01 · TWO SHEETS

SHEET I Principal branch● LIVE CONTINUATION

COMPLEX s–PLANE Re s → · Im s ↑

Walk around the origin to discover the other sheet.

BRANCH CUT ◉ SINGULAR POINT

WASD or arrow keys / drag to walk

YOUR EXPEDITION

The other side

The same coordinates can belong to different worlds. Find a way between them.

⚿

Find the brass keySheet II · s = −3.500 − 3.000i

○

▣

Open the hidden chestSheet II · s = 3.500 + 3.000i

○

STABILITY100%

Beyond |s| = 5.5, infinity pulls you away.

OBSERVATIONPerspective

Terrain height / colour

−3Re f+3

Easy mode — show key & chestReveal distant markers on viewed sheets; in Player view, only in the light. Collect them on the required sheet.

The entire terrain changes when you cross the cut.

YOUR DISCOVERIES

1 / 2sheets entered · Level 01

Counts where your character goes, not where viewing rays reach. Starting sheets count.

Saved in this browser · each level’s sheets count separately.

↳ FIELD NOTE 01

A full turn around zero changes the sign. Two turns bring you home.

f(s) = …