--- quoting Wikipedia on what Euclid's orchard is --- In mathematics Euclid's orchard is an array of one-dimensional trees of unit height planted at the lattice points in one quadrant of a square lattice. More formally, Euclid's orchard is the set of line segments from (i, j, 0) to (i, j, 1) where i and j are positive integers.
The trees visible from the origin are those at lattice points (m, n, 0) where m and n are coprime, i.e., where the fraction m?n is in reduced form. The name Euclid's orchard is derived from the Euclidean algorithm. If the orchard is projected relative to the origin onto the plane x +y=1 (or, equivalently, drawn in perspective from a viewpoint at the origin) the tops of the trees form a graph of Thomae's function. --- end quote ---
Now can we see any of these maps of galaxies as a Euclid's Orchard Map?
http://www.atlasoftheuniverse.com/index.html Well, we can if physicists correct their errors, their many errors. For one, gravity comes from the Maxwell Equations as EM-gravity with gravity-cells, which solves the reason that Earth can still revolve around the Sun even though the Sun is moving in Space at 220 km/sec whilst Earth is moving at 29 km/sec.
It is only the last 100 years that physicists had learned the Sun was moving at 220 whilst Earth was moving at only 29 km/sec. But be assured that if Newton or Maxwell had known of this fact, they both would have looked for a "new gravity". Trouble is that in the last 100 years, none of the physicists had a bright enough and logical enough mind to even see a problem of 220 versus 29.
The solution is a gravity cell, such as the Oort Cloud is a gravity- cell and it rotates in space and the rotation rate nullifies the Sun's 220 km/sec of linear speed.
Now this is important because gravity-cells are surrounding each galaxy and the cell is about 50,000 times the size of the "apparent galaxy". So, all of a sudden the Milky Way and Andromeda and Triangulum galaxies are 50,000 times larger than previously thought.
Gravity Cells explain redshifted light because light traveling through a gravity-cell is refracted or diffracted to the red wavelength.
Now the mappings of galaxies by Geller & Huchra, Jarrett and Juric all have to be thrown out and start anew, because when the Universe is EM- gravity, not the fakeries of Newtonian or General Relativity gravities, that the galaxies map much to the pattern of Euclid's Orchard of mathematics.
I am delighted to see that a problem of Euclid some 2,000 or more years ago becomes the solution to the way that galaxies are distributed and mapped.
When the Universe is just one big atom of 231Pu, then the electrons are electron-dot-clouds and each dot represents a galaxy and each dot is uniformly spread over a geometry surface, the uniformity of a Tree Orchard and we should see galaxies, much like seeing a evenly spaced trees in a tree orchard.
So looking at that atlas of galaxies we should see lines of galaxies just as Euclid saw lines of trees, even though they were evenly spaced. --
Google seems to have stopped doing author-archives as of 2012. Only Drexel's Math Forum has done a excellent, simple and fair author- archiving of AP posts for the past several years as seen here: