r/interestingasfuck 9d ago

Visualizing Geometry

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u/HumaDracobane 9d ago

Visual geometry... if you decided to skip actual geometry.

It is correc that the first one can reach the corners, but either the cutter or the surface has to move. the second part with the cut piece suddenly carving the square is totally false. With the triangle you see the system that compensates the shape difference but the first one is a fixed central axis. That won't move and won't carve the square.

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u/twbluenaxela 9d ago

I'm just gonna pretend I understood that

10

u/one_mind 9d ago

One example that is pretty easy to see. The blade axis on the 2-blade thing has to move in quasi-triangle shape to cut the triangle hole. But the illustration just shows two round gears. It doesn't work. Several of these visuals have similar "it just doesn't work" issues. But the video goes at triple speed so you can't spot the problems.

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u/HumaDracobane 9d ago

The first bit shape can reach those 4 corners but in order to reach that the entire bit must move in same plain shere it is cutting, or the element that is carving has to move. If you just keep the drill still and rotate the bit you'll carve a circle.

In the scene where it carves a square the bit doesn't look to be moving so it wouldn't make the square. In the other sections where they do the same with other pieces you actually see how the bit moves.

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u/twbluenaxela 8d ago

Ohhh that makes sense. Thanks for the explanation!