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CONCLUSION Here
we have a demonstration of using ancient systems for new ways
of thinking and seeing. Part of my own pleasure was in finding
that through all the irrational numbers and creative energy being
put into the system, it generated the triple square, an elegant
and beautiful rational system. It is also a good demonstration
of how geometry builds things. Through the interplay of the static
and dynamic elements of the grid, and the creative actions taken
to rearrange and recombine them, the possibilities seem limitless.
The eternal question for me remains: What is the force that initiates
and enables geometry to build in such elegant and endless ways
in nature?
In the Summer issue, I would like to look at a couple of irrational
polygons, the 11-gon, the 13-gon, and the rational 15-gon and
the golden section of a circle, all from the Square Root 2 rectangle
system!
Happy Spring! Go look at the Geometry of Spring things, from
the fields to the vegetable stands, from Mount Tamalpais to the
Apennines.
Beginning
of article | back
to Step 11 | Conclusion
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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