Magic Mathematics Based on New Matrix Transformations ... - InTech
Magic Mathematics Based on New Matrix Transformations ... - InTech
Magic Mathematics Based on New Matrix Transformations ... - InTech
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<str<strong>on</strong>g>Magic</str<strong>on</strong>g> <str<strong>on</strong>g>Mathematics</str<strong>on</strong>g> <str<strong>on</strong>g>Based</str<strong>on</strong>g> <strong>on</strong> <strong>New</strong> <strong>Matrix</strong> Transformati<strong>on</strong>s (2D and 3D)<br />
for Interdisciplinary Physics, <str<strong>on</strong>g>Mathematics</str<strong>on</strong>g>, Engineering and Energy Management<br />
(given by the audience at MemoMasters – MindFestival 2009 to Prof. W. Stanek for manual<br />
soluti<strong>on</strong>). Starting by choosing this ultra magic square number 22 as the start matrix M1, the<br />
next ultra magic square M2 is created by using the reflecting (mirroring) method. Then from<br />
matrix M2 we can c<strong>on</strong>struct the next matrix M3 by transposing and at the same time<br />
reflecting the c<strong>on</strong>tent of cells and finally the matrix M4 is generated from M3 using<br />
reflecting in each four neighbor cells (number 1 to 16).<br />
The resulting ultra-magic matrices M1 until M4 are used to develop the next layers; creating<br />
the magic cube layers with a sketching pattern (+0, +16, +32, +48), as shown in the Fig.6.<br />
Fig. 6. Pattern Soluti<strong>on</strong> to solve a magic cube (Stanek, 2009)<br />
www.intechopen.com<br />
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