Angle of cube necessary for 3 sides visible at equal angle

bamike

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May 5, 2009
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If you held a cube with one corner on the table, looking down at the cube, what angle would you have to hold the cube at so that the three sides would be at equal angles to the table? For example, using a dice, place the 3 side facing up and the 3 spots lined up pointing at your belly. Set the dice so the 5 side is vertical and on the left. The 1 side will be vertical on the right. At this point you can not see the 2 4 6 sides. Now tilt the dice on the corner where the 2 4 and 6 meet until 1 3 5 sides are at an equal agle to the table. I want to know the angle that the 4 side is at in relative to the table.

More than 99% of the dice in the USA are spotted the same way. Thanks.
 
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