Double Cube
How tesseract duplicate using ruler and compass?
Naturally, it is impossible to draw a tesseract in a 2D plane piece of paper, as well as the case of doubling a cube, I only ask to build the tesseract edge of double volume.
From the hypervolume of a tesseract side x = x ^ 4 for double need to build 2 ^ (1 / 4) x * Unlike the duplication of the cube, this is really capable of, under standard rules ruler and compass, as it is only sqrt (Sqrt (2)). Use standard construction for the square root (described here http://www.cs.cas.cz/portal/AlgoMath/Geometry/PlaneGeometry/GeometricConstructions/SquareSquareRootConstruction.htm) for x = 2, then apply the new building on the outcome.
Double Cube
What happens to the volume of a cube, if you double on one side?
That the length of the side of a cube is L. Let the side length 2L in bucket 2, V1 = V2 = L ³ (2 L) ³ ³ V2 = 8 L = 8 V1 V2 volume is multiplied by 8.
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