Abstract. Geometer Mark Reynolds demonstrates the use of an ancient system for new ways of thinking and seeing: on the triple square and the diagonal of the Golden Section.

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The Geometer's Angle No. 7:
On the Triple Square and the Diagonal of the Golden Section

Marcus the Marinite
667 Miller Avenue
Mill Valley, California 94941 USA

Step 9
Figure 8 is the actual transformation construction. Now it will be seen how the occult centers operate in the transformation. For it is from these two occult centers to the points, M and B, that begin the construction of the triple square. Next from the corners of the golden section rectangle, A and R, draw through the occult centers, OC1 and OC2 through to the lines, WV, and TU, intersecting them at points, Y and X, which form the opposite corners of the new triple square, AXRY. By lines, EOC2 and OC1M divide the triple square, AXRY, into thirds - each of the three individual squares.

Figure 8 for GA 7

back to Step 8 | Step 9 | on to Step 10

 The correct citation for this article is:
Mark A. Reynolds, "On the Triple Square and the Diagonal of the Golden Section", Nexus Network Journal, vol. 4, no. 2 (Spring 2002), http://www.nexusjournal.com/GA-v4n2.html

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