PDF version of latest master document

I uploaded the latest master document from Mike's post below to my webspace: LaTeX, PDF

David's corrections

I have incorporated all of David's corrections, and Charlie and I went through my initial draft of the notation section together to streamline it. By tomorrow I plan to have something written for the background section. Here are the DVI, PS, LaTeX files.

notation section with words!!!!

lets go over in lab today, then talk about pics. Here is the DVI and TeX.

Revised Master Document

I made some slight changes to Mike's sections -- mostly making language consistent with what I've been using (e.g., "Exactly 1 rule" instead of "exactly 1 diamond") and fixing a couple of spelling mistakes, etc.


One issue I encountered: Mike uses the Binary Rule to prove rho_14 = 1 before the section in which the Binary Rule is introduced. Perhaps we should move the Binary Rule section up. Also, the 174 section uses the Binary Rule before the Binary Rule section.

I feel like we should add a sentence that explains in English that tau_14^n is the same as applying tau_1 (n-1) times and then tau_14 once. I think that would help the reader understand those lemmas more easily.

Another question: What do we mean when we say the "1 or 4 Diamond"? Is that the 1 or 4 "crystal" (i.e., the occupied set)? That term is a bit confusing because we also have D, the diamond region, and the diamond neighborhood (von Neumann).

Do we capitalize titles of sections? (For example, "A perturbation of Exactly 1" or "A Perturbation of Exactly 1")

I have uploaded the LaTeX and PDF to my webspace.

I also made bitmap images in MCell of all of the figures that we need (Zip file). Next week in lab we will edit these in Photoshop.

updated master with inserts

New with what we added in lab today (references, 14, 174, 12). in DVI, TEX, PS formats. I am going to take a stab at making the introduction and notation readable this weekend.

Updated Master Document with introduction to T

I wrote the introduction and motivation for T section of the paper (section 1.3). Feel free to modify it in lab tomorrow. Email me the updated master.tex file after you finish tweaking it and I will upload it to my webspace.

LaTeX, PDF

References

How should we list references? That is, what's the best way to do it in LaTeX?

I googled around and found BibTex -- do we want to use this?

Master document with David's changes

LaTeX, PDF

I could understand all the scribbles except the change to the first sentence of the Substitution Scheme section. Before, it read: "The Exactly 1 rule is one of few cellular automata that admit...." Now it reads: "The Exactly 1 rule is one of few non-trivial, solvable automata that admit...." David -- you might have written "finite" after "solvable," but I can't tell for sure.

Updated Master Document

This version now contains the notation in the introduction and has the updated version of the 13 section using interiors of the triangular regions.

LaTeX, PDF

Something that occurred to me that we should consider: Should we write down what exactly are the 4 rigid transformations for regions III-VI (i.e., the rotations and translations) like I did in the exactly 1 section?

Updated 13 section

The solution we came up with for the P_I = P_III issue is that the cells (1,N) belongs to P_III but is not covered by the rigid transformation of the configuration in I shifted by (+1,-1). (Likewise for P_V.)

LaTeX

Draft of 1 or 3 figure

New revised figure draft for 1 or 3.

figure

Is this a reasonable format, or shall we do something different (keeping the paper cohesive)?