**Denis Weaire**

Trinity College Dublin (TCB)

The University of Dublin

College Green

Dublin 2, Ireland

ArXiv: *2D foams above the jamming transition: Deformation matters*

CV

Facebook: *Physics Today*, 2011, *Perfect Foam*

ResearchGate

Wikipedia

YouTube: (at 6:00 minutes) *The Science of Bubbles – Foam Bubbles Finally Brought to Order*

Second email: 13 November 2014

http://www.amphilsoc.org/sites/default/files/proceedings/414.pdf

http://people.tcd.ie/Profile?Username=dweaire

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

exponential notation?

3. If either/or both answers YES, then why haven’t we seen this range

used more within mathematics and geometry?

Thank you.

Most sincerely,

Bruce

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.

Just marvelous.

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.

http://smallbusinessschool.org/page1118.html

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!

Warmly,

-Bruce

Bruce Camber, founder

Small Business School http://SmallBusinessSchool.org

Big Board-little universe Project http://81018.com

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?