TimeSpaceLightForce Posted April 16, 2013 Report Share Posted April 16, 2013 A detector with largest flat surface is to be installed inside a lab cubicle that has 1 sq.m opening and 1m deep underground to maximize capture of particles. Is the shape of detector a square or a circle? 1 1 Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted April 16, 2013 Report Share Posted April 16, 2013 Is the opening a square that is 1 meter on a side? Can the opening take the shape of the detector? My guess is a both the opening and the detector should be circles, but it's not clear that both shapes are variable. 1 1 Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted April 16, 2013 Author Report Share Posted April 16, 2013 Is the opening a square that is 1 meter on a side? Can the opening take the shape of the detector? My guess is a both the opening and the detector should be circles, but it's not clear that both shapes are variable. the buried cube is 1x1x1m metal box without cover on top Quote Link to comment Share on other sites More sharing options...
0 dark_magician_92 Posted April 16, 2013 Report Share Posted April 16, 2013 Where will the detector be placed? Sorry i think i haven't understood clearly. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted April 16, 2013 Author Report Share Posted April 16, 2013 Where will the detector be placed? Sorry i think i haven't understood clearly. please install inside the (cube) box without exposure above the ground Quote Link to comment Share on other sites More sharing options...
0 Rob_Gandy Posted April 16, 2013 Report Share Posted April 16, 2013 you made the detector a square along the diagonal of the cube? Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted April 17, 2013 Author Report Share Posted April 17, 2013 you made the detector a square along the diagonal of the cube? That is 1 x 1 m only because the side is 1 m, there is a larger square that will fit in the cube. Quote Link to comment Share on other sites More sharing options...
0 Rob_Gandy Posted April 17, 2013 Report Share Posted April 17, 2013 you made the detector a square along the diagonal of the cube? That is 1 x 1 m only because the side is 1 m, there is a larger square that will fit in the cube. The detector would be sqrt(2) x sqrt(2) Quote Link to comment Share on other sites More sharing options...
0 Rob_Gandy Posted April 17, 2013 Report Share Posted April 17, 2013 you made the detector a square along the diagonal of the cube? That is 1 x 1 m only because the side is 1 m, there is a larger square that will fit in the cube. The detector would be sqrt(2) x sqrt(2) Oops ignore that... Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted April 18, 2013 Author Report Share Posted April 18, 2013 which is larger..the biggest square that fits in a cube or the biggest circle that fits in a cube? Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted April 18, 2013 Report Share Posted April 18, 2013 which is larger..the biggest square that fits in a cube or the biggest circle that fits in a cube? Prince Rupert 1 1 Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted April 18, 2013 Author Report Share Posted April 18, 2013 which is larger..the biggest square that fits in a cube or the biggest circle that fits in a cube? Prince Rupert AutoCAD 1 Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted April 18, 2013 Report Share Posted April 18, 2013 I strongly dislike AutoCAD so many rough memories which is larger..the biggest square that fits in a cube or the biggest circle that fits in a cube? Prince Rupert AutoCAD Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted April 21, 2013 Report Share Posted April 21, 2013 A square with area 9/8. It's easy to see the square of a side is (3/4)2 + (3/4)2. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted April 21, 2013 Author Report Share Posted April 21, 2013 one surface area to go... Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted April 22, 2013 Report Share Posted April 22, 2013 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. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted April 22, 2013 Author Report Share Posted April 22, 2013 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.. Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted April 24, 2013 Report Share Posted April 24, 2013 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. Quote Link to comment Share on other sites More sharing options...
0 Yodell Posted April 24, 2013 Report Share Posted April 24, 2013 (edited) or rather Post 5 does that .. no exposure above ground actually means that no part of the circle or square can be : "out-of-the-box" so to speak... Edited April 24, 2013 by Yodell Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted April 24, 2013 Author Report Share Posted April 24, 2013 ok, why is a circular detector bigger than the square detector ? Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted April 25, 2013 Report Share Posted April 25, 2013 ok, why is a circular detector bigger than the square detector ? Circles aren't bigger or smaller than squares until constraints are added. If the constraint is a given perimeter, circles are bigger (area wise) If the constraint is maximum and minimum values of x and y, then squares are bigger. The present constraints are of the second type. 1 1 Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted April 25, 2013 Author Report Share Posted April 25, 2013 ...inside a cube the largest square that can fit in is not coplanar with the largest circle that can fit in. 1 1 Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted May 21, 2013 Author Report Share Posted May 21, 2013 inscribed in bobby go's regular hex cut lies the biggest circle within the cube.. Quote Link to comment Share on other sites More sharing options...
Question
TimeSpaceLightForce
A detector with largest flat surface is to be installed
inside a lab cubicle that has 1 sq.m opening and 1m
deep underground to maximize capture of particles.
Is the shape of detector a square or a circle?
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