Saturday, November 07, 2015

[fespfooz] Enumerating cuboids

Create a method to enumerate "most" cuboids (rectangular prisms), perhaps within constraints of:
Larger than some volume
Smaller than some volume
Fits orthogonally within some cube
Can fit some cube within it

By "most" we mean that, given an arbitrary cuboid within the constraints, there exists a cuboid within the enumeration that is "close" in size to the given cuboid, by some definition of "close".

Enumerate a geometric series collection of lengths, perhaps Fibonacci.  Cuboids are all possible triplets of dimensions.  Somewhat similar to European paper sizes (e.g., A4).

Inspired by: computers in various form factors could be useful, e.g., in the shape of a stick: standardize on some sizes, but more choices than the sizes currently widely available.

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