Lady Lattice

Lady Lattice grew up in a town called Crosshaven, where the streets ran in a perfect grid — numbered streets going across, numbered avenues going up — and every door in town had an address made of two numbers.

She knew her own house by heart: three streets across, four avenues up. She could walk home blindfolded.

But once, when she was small, her family visited a different town — an old, tangled place where the streets curled and looped and doubled back, and nothing was numbered. She let go of her mother's hand for one moment in the market, turned around, and the whole world was suddenly a maze with no addresses. She had never been so frightened. Every street looked like every other street. There was no across and no up. There was only lost.

Her grandmother, a patient old crane, found her at last and carried her home to Crosshaven. That night, on their own front step, her grandmother knelt down.

"You were frightened because that town had no addresses," she said. "Here, you can never truly be lost. Pick any corner in Crosshaven. Count how many streets across it is, and how many avenues up. Those two numbers are its address, and an address is a promise — it says this spot can always be found again."

Lady Lattice looked down their own gridded street, every corner quietly holding its two numbers, and the frightened, maze-lost feeling drained out of her. As long as a place had an address, it could be found. She was never going to be lost again.

Years later, she came to the GeometryForge academy and stood before the academy master, an ancient owl who had tested every teacher in the kingdom.

He drew a grid on the board and marked two points on it, one he labelled A and one he labelled B.

"Tell me about these two points," he said.

Lady Lattice did not hesitate. "Point A's address is how far across and how far up it sits — two numbers. Point B has its own two numbers. And from those addresses alone," she went on, "I can tell you the distance between them — how far across plus how far up you'd travel from one to the other — and I can find the midpoint, the spot exactly halfway, just by landing on the address that's halfway across and halfway up." She set the owl's chalk on that middle crossing.

The owl had taught geometry for sixty years. He had watched many students plot a point. He had rarely watched one treat an address as a promise. "Start teaching this autumn," he said. And once she had fully become the thing she taught, she took the name Lady Lattice.

In her gridded room, a flustered young otter named Wade was nearly in knots over two dots on a worksheet.

"I'm supposed to say where these points are and how far apart they are," Wade groaned, "but I don't even know how to start. They're just... dots."

"They're not just dots — they have addresses," Lady Lattice said calmly. "Watch. For the first dot, I count across from the corner: that's the first number. Then I count up: that's the second number. Now it has an address — two numbers — and it can never be lost." She did the same for the second dot. "There. Both have addresses now."

"Okay," Wade said slowly. "But how far apart are they?"

"Count the journey between the addresses. How many steps across from one to the other? How many steps up? That tells you how far you'd travel." She traced it with a claw. "And the midpoint — the exact middle — is the address that's halfway across and halfway up. You can find it by taking the halfway point of each number. The middle of the two 'across' numbers, and the middle of the two 'up' numbers."

Wade blinked. "So once they have addresses, I can find everything — where they are, how far apart, the exact middle?"

"Everything," said Lady Lattice. "That's the gift of an address. A point with an address is never lost, never vague, and never out of reach."

Wade looked at the two dots, no longer just dots, and let out a long breath. "They were findable the whole time. I just had to give them their numbers."