Nestor chapter opener illustration

Nestor

RECURSION — *solve a big problem by first solving a smaller copy of the same problem off to the side, then using it.*

Listen along — Nestor

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Nestor and the Tower That Solved Itself

Nestor worked at the tallest bench in the PuzzleForge workshop, and on that bench sat the thing that scared every new visitor: the Tower. Eight golden discs, biggest on the bottom, smallest on top, and two empty spikes beside them. The rule was cruel in its simplicity — move the whole stack to the far spike, one disc at a time, and never, ever set a bigger disc on a smaller one.

Kids would stare at eight discs and feel their stomachs drop. Eight! Where do you even begin?

Nestor never stared. Nestor was a lean, unhurried sort with ink-stained fingers and a habit of talking to the discs. When a huge tower needed moving, Nestor didn’t look at the huge tower at all. Nestor looked past it — to a smaller tower, an imaginary one, sitting off to the side. “I can’t move eight,” Nestor would say, cheerful about it. “But if somebody would just move the top seven out of my way, I could move the big one. So — let’s pretend the top seven are their own little tower, and solve that first.”


Nestor had not always been so calm about towers.

As a young apprentice, Nestor had tried to move a five-disc tower by brute force — grabbing discs, shuffling them, trusting luck. It went exactly as badly as it sounds. Discs ended up stranded. Big ones landed on small ones (which the workshop’s enchanted spikes simply refused, buzzing rudely). After an hour Nestor sat down in the sawdust and nearly cried.

That was when old Sprocket, the workshop’s mentor, wandered over with two cups of cocoa and sat down in the sawdust too. Sprocket didn’t say you’re doing it wrong. Sprocket said, “Big towers are just smaller towers wearing a big hat. Ignore the biggest disc for a second. If the six on top of it were somewhere else, could you move the big one?”

“Obviously,” muttered Nestor.

“Then your only real job,” said Sprocket, “is moving those six. And that’s just moving five with one on top. And five is just four with one on top.” Sprocket sipped the cocoa. “It’s turtles all the way down, and every turtle is easy.”

Nestor stopped crying and started grinning. Because that was the trick, wasn’t it — the whole terrifying tower was really the same puzzle, nested inside itself, getting smaller and friendlier each time.


By the time the kid arrived at Nestor’s bench, Nestor had solved the eight-disc Tower so many times it was less a challenge than a comfortable song.

“You’ve met Sprocket,” Nestor said. “So you know the rule — nothing bad happens here, and being stuck is just the workshop saying you haven’t found the smaller tower yet.” Nestor slid the kid a stack of only three discs. “We start small. Not because you’re small — because everything starts small. Even the eight.”


“Watch,” Nestor said, and moved the three-disc tower with three easy moves, narrating each one. “Now — here’s the secret nobody believes until they see it. To move these four, I first move the top three out of the way — onto the spare spike — using the exact trick you just watched. Then I move the big fourth disc across, alone, all by itself. Then I move those three back on top.”

The kid frowned. “But moving the three is the hard part again.”

“Yes!” Nestor beamed, as if the kid had said something wonderful. “It IS the same hard part. That’s the whole point. You never have to learn a new trick. The four-tower borrows the three-tower’s trick; the five borrows the four’s. You already know how to solve any tower — you just have to be willing to solve a smaller one first.” Nestor never once said a move was wrong. When the kid put a disc back and started a sub-tower over, Nestor just nodded: “Good — you found the smaller tower. Solve that one, and the big one falls into your hands.”


The kid moved the four-disc tower. Then, with a deep breath and Nestor murmuring encouragement, the five. And somewhere in the fifth tower the kid stopped counting discs entirely, because it had stopped feeling like eight impossible things and started feeling like one small thing, over and over, until it was done.

When the last disc clicked onto the far spike, the kid looked up, and it wasn’t triumph on their face exactly — it was something quieter and better. Relief. The particular, spreading warmth of discovering that the scary enormous thing had never actually been enormous. It had only been a small thing you already knew, hiding inside a bigger hat.

“That feeling,” Nestor said softly, stacking the discs for the next visitor, “the one where the huge thing shrinks down to something you can hold — that’s the feeling I chase. Every tower. Every time. It never gets old, knowing you can always make it smaller.” Nestor smiled at the kid. “Come back whenever something looks too big. We’ll find the smaller tower together.”

The PuzzleForge ensemble

Nestor is part of PuzzleForge's distributed-narrative cast. Each character embodies a different curricular primitive; together they teach the full subject.