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Reference.org
Simple magic cube
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<p>A simple magic cube is the lowest of six basic <a href="/facts/Magic_cube_classes/p3h7750e">classes of magic cubes</a>. These classes are based on extra features required. </p><p>The simple magic cube requires only the basic features a cube requires to be magic. Namely, all lines parallel to the faces, and all 4 <a href="/facts/Space_diagonal/aVMddjKB">space diagonals</a> sum correctly. i.e. all "1-agonals" and all "3-agonals" sum to </p> S = m ( m 3 + 1 ) 2 . {\displaystyle S={\frac {m(m^{3}+1)}{2}}.} <p>No planar diagonals (2-agonals) are required to sum correctly, so there are probably no <a href="/facts/Magic_square/QGQkSKF2">magic squares</a> in the cube. </p>