Building Bricks with Bricks, with Mathematica

نویسندگان

  • Pietro Codara
  • Ottavio M. D'Antona
  • Daniele Filaretti
چکیده

In this work we solve a special case of the problem of building an n-dimensional parallelepiped using a given set of n-dimensional parallelepipeds. Consider the identity x = xHx 1L Hx 2L + 3 xHx 1L + x. For sufficiently large x, we associate with x3 a cube with edges of size x, with x Hx 1L Hx 2L a parallelepiped with edges x, x 1, x 2, with 3 x Hx 1L three parallelepipeds of edges x, x 1, 1, and with x a parallelepiped of edges x, 1, 1. The problem we takle is the actual construction of the cube using the given parallelepipeds.

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عنوان ژورنال:
  • CoRR

دوره abs/1307.1343  شماره 

صفحات  -

تاریخ انتشار 2011