Thank you very much for your kind feedback.
My essay is based on the idea that we can use form/shape/model as a symbol to convey and to convert understanding and knowledge. See: https://www.researchgate.net/publication/311858104_On_the_use_of_analogy_to_mathematical_models
In the 2020 FQXI Essay I show that we have already a choice at the beginning of building up a form (the choice is D as an alternative for C in the plane or as a point into another dimension).
That choice is an important decision, because each choice shows a very different outcome in form (tetrahedral vs octahedral).
Another example is this:
Today, Sunday Feb. 2nd 2020, My math friend Richard told me about a picture used in the development of the Amplituhedron of Nima Arkani-Hamed. The same picture Richard and I use in our geometry called Hedronsciences.
I said to him "This is very nice, but also the old school thinking. It is thinking in particles".
I suggest a quite different approach for thinking about existence. Not by collisions and scatterings, but by starting with the zero state of Being, where there is no movement at all, yet.
Zero has some very interesting properties.
We can think of it as Nothing, Empty(ness), Void, Absence and so on.
To show Zero I made a toy-theory: https://www.researchgate.net/publication/304749293_On_Borromean_rings_made_with_IEye_sticks
In that essay I show that if each coordinate of the XYZ matrix is made of cubes, then the Origin is an empty cube, but still a cube, because it is defined by what is: its surroundings: the XYZ-matrix of Numbers.
From this we can go on with:
Next to Zero is "Just not Zero" = "the Infinitesimal".
Infinitesimal has also some very interesting properties. It is impossible to divide it. If it was possible you would have something which could be smaller, less, tinier, than the infinitesimal, and that can only be Zero, Nothing, Absence.
The Infinitesimal is really A-thomos. It is not an atom; it is the least quantity, the prime scalar, the Quantum of Quantum Physics.
In my research which I named Hedronsciences (see: https://www.researchgate.net/publication/311858009_Hedronsciences_a_science_on_connection ) I show how this infinitesimal can be understood as the building"block" of existence. In the published PDF I show some protocols and that at first there are only limited ways for growth.
With such protocols we may make a multi-dimensional map in the form of some shape.
Together with Richard I made, based on this kinds of protocols, what we called the Ccube and the C-sphere. The Csphere is a kind of Goldberg polyhedron, but I use it as a way to stellate Space with tetrahedra, not just the regular one but, if needed, with all 31 different ones (each defined by the 6 possible kinds of differences in length for the edges of a tetrahedron. See the paper, §4 page 7-11).
The Csphere then is a theoretical rigid multi-dimensional map with all possible kinds of paths for an infinitesimal to grow up in relation to and with other infinitesimal into dimensional forms (shapes) as "Sets of Connection" full of meaning.
A Set-of- Connection is in the old school of thinking a Particle and in my thinking a Being with meaning.
I hope you get my gist. It is a huge difference in thinking of particles, made of sub-atomic particles, or in thinking in sets-of-connections in which the connections are made by infinitesimal quanta, through which they form new states of Being without being "material", but still matter everything by their meaning.
The Ccube is shown in: https://www.researchgate.net/publication/311858197_Voxtrahedron
i am looking forward to further this kind of discussion.
with kind regards,
Jos