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Last Update: Wednesday February 19, 2020

An open letter to Prof. Daniel Shechtman

Continuity, Symmetry & Harmony

Evocative questions about the basic basics::

1.  Are these three the a priori qualities or pre-conditions of life from which space and time are derived?   More...

2.  Is base 2 scientific notation a possible starting point to envision the wholeness of the universe and its necessarily inter-connected parts?   More...

3.  Might these qualities also begin to bridge the gaps between religions and between religions and science?   More...


Let us study five-fold symmetry

Assorted references (though each still needs to be vetted):

1.  Roger Penrose five-fold tiling and the Golden Ratio

2.  Five-fold symmetry in crystalline quasicrystal lattices:
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC34473/

3.  Molecules With Five-Fold Symmetry As A Two-Dimensional Crystal? Not So Impossible Any More 

and many more reference and much more discussion to come

http://materials.technion.ac.il/st/

Thursday, October 20, 2011,10:25 PM

Dear Prof. Dr. Shechtman:

I listened to your video reflections online (produced by Technion) about the early reception of your work and your pointed encouragement of those of us who have rightly or wrongly been treated as speculative fools.   Unfortunately, I needed to make a living so in 1980, I went back to a business that I had started before my doctoral work in perfected states within space-time.

Perhaps I would have been one of the early enthusiasts around your work.

In 1970-1972 I worked within a group at Harvard called the Philomorphs with Prof. Arthur Loeb. Bucky Fuller was a frequent visitor. I was smitten with the notion of perfection within the imperfect, quantum world. The EPR Paradox was my starting point. Victor Weisskopf (Physics, MIT) was on my path and befriended me. Under his guidance, I visited with John Bell at CERN and later I had a six month study with Olivier Costa de Beauregard and JP Vigier in Paris where we looked in on the work of Alain Aspect on Bell's Inequality theorem and the EPR paradox. In 1977 I spent a day with David Bohm and his doctoral candidates talking about points, lines, triangles and the tetrahedron.

When I first learned of Bohm's death, I pulled down a book he had given to me from that day, Fragmentation & Wholeness, and realized he never asked what was perfectly enclosed within the tetrahedron. A year later I asked the question about the octahedron.

Business has been good, but demanding. Only this year have I slowed down a little. I have been playing with models that I created by having molds made to knock out thousands of tetrahedrons and octahedrons. I am still a novice, but I think you might be interested in my approach.

First principles: http://smallbusinessschool.org/page869.html

First principles applied to faith statements: http://smallbusinessschool.org/page1695.html

Historic perspective: http://smallbusinessschool.org/page2546.html

Only recently have I begun to consider the icosahedron --

http://smallbusinessschool.org/page2168.html

My guess right now is that the dodecahedron is really a sixty-sided cluster and each of the pentagonal faces are a cluster of five tetrahedrons.  That they are imperfect intrigues me.  I have begun a most speculative page and it is the height of stupidity to share it with a new Nobel laureate, but you were so very warm and kind in that video and you have walked over the coals for almost 30 years.

I have just started working on this little page and, though I know you are innundated with requests and demands on your time, I thought you might appreciate it.

Warmly,

-Bruce

Skype:  Bruce.Camber

Bruce Camber
Small Business School
http://SmallBusinessSchool.org