unit cube उदाहरण वाक्य

Geometrically speaking, a positive number is a perfect cube if and only if one can arrange solid unit cubes into a larger, solid cube.
The pieces of the Soma cube consist of all possible combinations of three or four unit cubes, joined at their faces, such that at least one inside corner is formed.
These overlapping circles can also be seen as a projection of an " n "-unit cube of spheres in 3-dimensional space, viewed on the diagonal axis.
To visualize this most clearly, think of a unit cube; the upper face is effectively in contact with the lower face, the right with the left face, and the front with the back face.
For higher dimensions a Monte Carlo approach can be used where random Cartesian coordinates are chosen in a unit cube, points falling outside the unit ball are discarded, and the remaining points are normalized to lie on the unit sphere.

Surface area should be rotationally invariant, but this calculation is not, with a unit cube having a value ranging from its actual surface area up to twice that figure, depending on how it is rotated with respect to the axes of the cuboids.
While the latter is less obvious than the former for the general case, it is easily seen for the one-sixth of the unit cube formed by a face ( area 1 ) and the midpoint of the cube ( height 1 / 2 ).
If points outside the unit cube were allowed, however, a number of them, including s = (-0.5, 0, 0 ), would do the trick . talk ) 21 : 10, 6 August 2007 ( UTC)
Before or around this time, Nieuwland had found the largest cube that can pass through a hole in a unit cube, a problem that had been posed 100 years earlier by Prince Rupert of the Rhine and given an inferior solution by English mathematician John Wallis.
So what I'm looking to create, ultimately is a normalized dataset of points with 3D Cartesian coordinates, such that each point represents a super-cluster, and the whole set is scaled to fit inside the unit cube ( or unit ball or something similar ).