This preview shows pages 1–21. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: moment of inertia of the outer shell = 1105+(center value*3) Note : sum = 1300 (cf. Loly) NOTATIONS The cells of the magic square are called A1 A2 A3 A4 A5 B1 B2 B3 B4 B5 C1 C2 C3 C4 C5 D1 D2 D3 D4 D5 E1 E2 E3 E4 E5 PARAMETERS OF A 5x5 MAGIC SQUARE We can take for example the 14 parameters A, B, D, E, F, G, H, I, K, M, U, V, X, Y. INNER SHELL Moment of inertia = (B3 + D3 + C2 + C4) + (B2 + B4 + D2 + D4)*2 = (2*A + 2*E + M + 2*U + 2*Y  65) + 2*(130 A E 2*M U Y) = 195 3*M OUTER SHELL Moment of inertia = (A1 + A5 + E1 + E5)*8 + (A2 + A4 + B1 + B5 + D1 + D5 + E2 + E4)*5 + (A3 + C1 + C5 + E3)*4 = 8*(A + E + U + Y) + 5*(65 + 3*M) + 4*(195 2*A  2*E 2*U 2*Y  3*M) = 1105 + 3*M Walter Trump  March 2008 Moment of Inertia . Order 7 Magic Square *** Additional notes *** I cant remember if this came from a subset of order 7 squares . . such as associated/ pandiagonal or such Goofing around...
View
Full
Document
 Winter '08
 SDFSDF

Click to edit the document details