Auger and Cleave

THE RAMP IN DISGUISE — the screw and the wedge look nothing like a ramp, but they secretly ARE one: Auger (screw) is an inclined plane wrapped around a cylinder, and Cleave (wedge) is two inclined planes back to back that moves into the load — the same less-force-more-distance bargain, hidden in a new form

A story read by Auger and Cleave

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01 Opening
Auger and Cleave beat 1 of 5

After the girl had moved the great block with Pry and Ramp and Hoist, she thought she understood simple machines. Then two more rolled up — a screw and a wedge — and they looked nothing like the gentle ramp she'd just used.

02 Auger and Cleave
Auger and Cleave beat 2 of 5

"Bet you think we're something totally different," said Auger, the spiraling screw.

"Bet you can't see the ramp in us," said Cleave, the sharp splitting wedge.

The girl squinted. A screw and a wedge, ramps? They didn't look remotely alike. But the two of them were grinning the grin of a very good secret about to be told.

03 Auger and Cleave
Auger and Cleave beat 3 of 5

"Watch closely," said Auger. "We're both the same old friend, just in a costume."

Auger went first, spinning slowly — because the screw is the sneakiest disguise of all: a ramp wrapped around a pole.

"Take a long paper ramp," said Auger, "a nice gentle triangle slope — and now wind it around a pencil, round and round." And Auger showed her: the slope, wrapped into a spiral, became the threads of a screw. "That's all I am. A ramp, wound up. My spiral threads are just an inclined plane going round and round instead of straight up." Auger turned, biting down into a block of wood. "So when you turn me, you're really walking something up a ramp — but the ramp is coiled, so instead of a long slope stretching away, it's a long slope packed into a short spiral. You turn the long, easy, round-and-round way — many turns — and I move deep into the wood the short, forceful way. Round and round becomes step and step." Auger sank deeper. "It feels like magic, a screw gripping into wood. But it's just Ramp, wearing a spiral coat — the same less-force-more-distance bargain, wound up small."

04 Auger and Cleave
Auger and Cleave beat 4 of 5

Then Cleave drove forward, splitting a block clean in two — because the wedge is the other disguise: two ramps, back to back, that come to you.

"And me?" said Cleave. "Take two ramps and put them back to back, sharp edges meeting — that's my shape. A wedge." Cleave pressed its sharp edge into a block. "But here's my twist on the trick. Pry and Ramp stay still while the load moves along them. I do it backwards — the load stays still, and I move into it." Cleave drove forward, and the block split apart along the two sloping faces. "When you push me forward — a long, forceful shove straight ahead — my two ramp-faces turn that forward push sideways, shoving the wood apart to either side. The longer and thinner I am — a fine sharp blade — the more easily I split, but the farther I have to travel in. Same bargain again: I trade the distance I travel forward for the force I spread sideways." Cleave split the block clean. "An axe, a knife, a chisel, even your front teeth — all of us are just two ramps, back to back, moving into the thing instead of waiting for it."

The girl looked from the spiraling screw to the splitting wedge to the plain gentle ramp still leaning on the wall, and the secret clicked all the way into place: they were the same idea, wearing three costumes.

05 Closing
Auger and Cleave beat 5 of 5

"Good spiral," said Cleave.

"Good edge," said Auger.

And that was the deeper marvel — bigger than any one machine. Underneath the screw's spiral and the wedge's blade and the ramp's plain slope was one simple thing, dressed three ways: the inclined plane, trading distance for force. Once you can see it, you start spotting it everywhere — in a spiral staircase, a mountain switchback, a zipper's little wedge, the threads of a jar lid, the blade of a plow. The world of machines stops looking like a hundred unrelated gadgets and starts looking like a handful of simple ideas in a thousand clever disguises. And learning to see the familiar thing hiding inside the strange one — the ramp inside the screw — is a kind of X-ray vision that never switches off once you've got it.

The MachineForge ensemble

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

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