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# Re: Non-linear full-2d writing (again)

From: Jim Henry Monday, January 30, 2006, 15:47
```On 1/30/06, David G. Durand <dgd@...> wrote:

> Jefferson is assuming that the only proper way such a system can work
> is as a space-filling network of regular adjacent convex cells, (a
> convex tesselation of the plane) in which case 6 is the maximum
> connectivity, when connection is defined by sharing an edge. This is
> one way to create such a system of signs, in which case you can have a
> per-cell branching factor of three (triangles), four (squares), or six
> (hexagons). You could increase the options to include 1,2,5 if you
> agree to allow some sides of cells not to be used.
Actually, if you have rows of squares that are offset
from one another, then you could have squares that
share (at least part of) an edge with six other squares.

---------------------
|   |   |   |   |   |
---------------------
|   |   |   |   |
---------------------
|   |   |   |   |   |
---------------------

If you have triangles in rows
that are offset from one another so the vertices in one
row don't touch the vertices in the next,

\/\/\/\/\/\/\/\/\
-----------------
\/\/\/\/\/\/\/\/\
-----------------
\/\/\/\/\/\/\/\/\

Each triangle shares a full edge with two other
triangles in the same row, and half of an
edge with two triangles in the row above.

--
Jim Henry
http://www.pobox.com/~jimhenry
```