ArXiv: 2D foams above the jamming transition: Deformation matters
Facebook: Physics Today, 2011, Perfect Foam
YouTube: (at 6:00 minutes) The Science of Bubbles – Foam Bubbles Finally Brought to Order
Second email: 13 November 2014
Dear Prof Dr. Weaire:
In the spirit of Cyril Smith. Reynolds, Thomson, the Philomorphs, and
your comment, “Foam structures occur, or are conjectured to do so, on
every length scale from the Planck scale (10 to the power of minus 35
metres) to that of the large-scale structure of the universe,” allow
me please to ask three naïve questions:
1. Can we say that “from the Planck Length to the Observable
Universe” is the finite universe?
2. Can we meaningfully parse that finite universe using base-2
3. If either/or both answers YES, then why haven’t we seen this range
used more within mathematics and geometry?
First email: Sat, Feb 4, 2012 at 8:21 PM
Updated: 17 September 2017, very small corrections
Dear Prof. Dr. Denis Weaire:
Thank you for your simply beautiful legacy to date.
I am going to guess that your best work is yet ahead.
I just downloaded the Philomorphs.pdf which was the first up
in a Google search of the word. I was a bit later than you
and under the leadership of Arthur Loeb in 1971-81.
I am also enjoying tremendously following all the links
and seeing the pictures of you and your colleagues and your work.
You, like John Conway, would be among those who would readily know
what is perfectly and most simply enclosed by an octahedron.
I find there are not many people who know; and among the most
who do not know, there are far too many who should know.
Have you seen the inside of a hexacontagon made of sixty tetrahedrons?
Each cluster of five tetrahedrons make the pentagonal face so it was my
first exploration (April 2011) of alternatives to a simple dodecahedron.
I am an old student who has spent a lot of time doing other things.
Yet, when a person is studying and enjoying the work of another so much,
I believe you should be aware of it!
I thank you for what you have done and what you are doing!
PS. What is wrong with charting the universe using the base-2 notation so
we see the smallest to the largest within 202 steps? Is it meaningful?