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The Mathematical Holes

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P1S
P1P
X1
X1 Carbon
X1E
H2C
H2D Pro
A1 mini
H2S
H2D
P2S
A1
X2D
A2L

0.2mm layer, 2 walls, 10% infill
0.2mm layer, 2 walls, 10% infill
Designer
50 min
1 plate

2 build plates (A1, no AMS)
2 build plates (A1, no AMS)
Designer
56 min
2 plates

Open in Bambu Studio
Boost
3
3
2
0
3
1
Released 

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The Mathematical Holes

Triangular, round, and square at the same time - can such a three-dimensional body exist?

This little brain teaser is over 200 years old and goes back to Peter Friedrich Catel.

 

The task: Imagine a figure that fits exactly through all three holes.

 

By the way, the problem of finding figures that fit holes offers great potential for philosophical questions, as the video “Square Hole Girl” shows.

 

The implementation was a small exercise in creating intersecting bodies with a CAD program.

I placed both figures on a print bed. If no AMS is available, simply print both figures individually in the desired color.

 

The finished figure with the hole board is a small decorative toy, suitable for any desk of mathematically interested people.

Have fun with it!

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