- #1
Thecla
- 135
- 10
In plane geometry it is impossible to construct a line equal to the (cube root of 2) times the length of
a side of a cube, making it impossible to double a cube with a compass and straight edge. Maybe plane geometry needs one more dimension.
What happens if we extend the geometry to 3D(solid geometry). Is it possible to double a cube in solid geometry using the basic construction tools of solid geometry(whatever is equivalent to a compass, straight-edge)?
a side of a cube, making it impossible to double a cube with a compass and straight edge. Maybe plane geometry needs one more dimension.
What happens if we extend the geometry to 3D(solid geometry). Is it possible to double a cube in solid geometry using the basic construction tools of solid geometry(whatever is equivalent to a compass, straight-edge)?