The first rung of Space · you are here
(3, 4)
Every “where” in the universe — buried treasure, a game character, the little blue dot on your phone — boils down to two numbers. Not a paragraph. Not “kinda near the big tree.” Two numbers. Learn to read them and you can point at anything.
Why this quietly runs your life
This is the whole secret behind “the computer knows where things are.” A video game character isn’t stored as a drawing wandering around — it’s two numbers changing every frame. A GPS pin dropped on a map is two numbers. The cursor on this very page is two numbers, right now, this instant. De-fanging moment: an AI isn’t magic at “knowing where” either — it’s the same two-numbers trick, just with way more numbers per thing. Learn to read a pair like (3, 4) and you’ve learned the language every map, game, and screen speaks.
Step 1: “where” is secretly a math problem
Try describing a spot in words: “it’s over there, past the mailbox, sort of by the fence.” Useless — everyone pictures a different spot. Now try: 3 steps across, then 4 steps up. Nobody can argue with that. It’s exact, it’s repeatable, and it fits in your pocket.
Step 2: meet the grid (thanks, Descartes)
Legend says René Descartes got the idea lying in bed, watching a fly crawl around on the ceiling tiles — he realized he could name the fly’s exact spot with just two numbers: tiles across, tiles up. Draw two lines: one going across (we call it x), one going up (we call it y). Where they cross is home base — the origin.
Step 3: how to read one — always (x, y)
A coordinate is always written the same order: across first, up second. No exceptions, no vibes.
So (3, 4) means: start at the origin, walk 3 across, then 4 up. That’s it. That’s the whole trick.
Step 4: your turn — poke the grid
Click any square below and it’ll tell you its coordinate. Then hit “Give me a target” and try to click the exact square it names — like Battleship, minus the ships.
Click any square to read its coordinate.
Step 5: Battleship, maps, and your screen all cheat off this
“B7” on a Battleship board, “D4” on a mall directory, latitude/longitude on a globe — every one of them is just (across, up) wearing a costume. Your phone screen is the same trick with a sneaky twist: on screens, y usually counts down from the top instead of up. Mathematicians go up, screens go down. Both are still just two numbers.
Prove it · get one wrong and I’ll walk you through it
Two quick ones and the rung is yours.
A treasure marker sits 6 squares across and 1 square up from the origin. How do we write that spot?
The point (0, 0) — zero across, zero up — is called the…
Answer both to unlock the next rung ↓
Coordinates — mastered.
You just turned “where” into math. Anywhere a spot needs naming — a map, a screen, a game, an AI’s internal space — you can already read it. Next we give that point somewhere to point toward, and it becomes an arrow.
Next rung → Vectors