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File:Phi brick 1460x795.png

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Phi Brick by DonEMitchell with Google Sketchup 8 (free version).

Each dimension of the rectangle is a power of the golden ratio (Phi):

0.6180339887498948482045868343656... = Phi –1 (an irrational number of unending decimal digits)
1.000 = Phi 0 (Let's check Pythagoras for a power-rule in operation among Phi degrees (powers).
1.6180339887498948482045868343656... = Phi 1 (an irrational number of unending decimal digits)
  • The unit dimensions of the Phi brick illustrated are Phi to the powers of -1, 0, 1 which produces a diagonal of the brick at 2.0 units long, or 2Phi 0.
  • The length of the solid diagonal (Lsolid) is found with the Pythagoras theorem in 3D:


Lsolid = sqrt( Phi(n-1)2 + Phin2 + Phi(n+1)2 )

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current00:14, 16 September 2015Thumbnail for version as of 00:14, 16 September 20151,460 × 795 (268 KB)Admin (Talk | contribs)Category:Golden_Ratio Category:3D {{catsubpage|Geometry|Golden Ratio|{{PAGENAME}}}} ''Phi Brick'' by DonEMitchell with Google Sketchup 8 (free version). Each dimension of the rectangle is a power of the golden ratio (Phi): :::<b><big>0.61...
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