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Particle detectors



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I didn't say, but it seems obvious that

if you make the detector a circle, you throw away area needlessly.

The constraint for a circle to fit does not preclude adding corners to it.

So a circular shape is always suboptimal.

that is, if the circle is inside the square..

assures the detector is inside a cube.

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ok, why is a circular detector bigger than the square detector ?

Circles aren't bigger or smaller than squares until constraints are added.

  1. If the constraint is a given perimeter, circles are bigger (area wise)
  2. If the constraint is maximum and minimum values of x and y, then squares are bigger.

The present constraints are of the second type.

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