Can I tessellate the "Golden Section"?
Through reflecting on my research to date, I chose to investigate the concept of spirals – would it be possible to tessellate a spiral...
https://beebopinspired.blogspot.com/2015/09/can-i-tessellate-golden-section.html
Through reflecting on my research to
date, I chose to investigate the concept of spirals – would it be possible to tessellate a spiral
design? I couldn’t find anyone else who
has successfully achieved this idea.
I looked at a fir cone in my studio and
focused on the spiraling shapes. Then I
started to research the Golden Section and the Fibonacci sequence. 0,1,1,2,3,5,8,13,21,34,55,89,144….
I drew this pattern in cm on paper and
tried to fold along the lines…
I tried different variations of folding
“mountains” and “valleys” but could not make it successful because the lines
did not meet (as indicated)
But a blog I found another number
sequence devised by Padovan
(1994) who credited the discovery to Van der Laan(based
on mortal rabbits)
This triangular pattern might
“tessellate” more easily?
I began by roughly drawing out the
pattern and pushing the creases in different directions to see how it naturally
folded. The result was it folded a bit
reluctantly and towards the corners it wanted to bend, but I thought I should
test it in a rigid material to see how it might behave.
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