Maps, theory discussion

[Loser]

And thirty-four (not thirty-five, I forgot that the one in the center of the stack doesn't count, though it could...)

code:

---

          1

         / \

        2---3

       / \ / \

      4---5---6

     / \ / \ / \

    7---8---9---A

   / \ / \ / \ / \

  B---C---D---E---F

   \ / \ / \ / \ /

    G---H---I---J

   / \ / \ / \ / \

  K---L---M---N---O

 / \ / \ / \ / \ / \

P---Q---R---S---T---U

         \ / \ / \ / \

          V---W---X---Y

---

Additional connections (ho-boy...):

• 1-Y
• 2-P
• 2-Y
• 3-U
• 3-Y
• 4-K
• 4-P
• 6-U
• 6-O
• 7-G
• 7-K
• A-J
• A-O
• P-X
• P-Y
• Q-W
• Q-X
• R-W

Whew, I'm doing something usless while at work.

Situation: normal.

[ January 19, 2004, 18:29: Message edited by: Loser ]

[Fyron]

[geoschmo]

I had another interesting idea for a map a while back. This one you have to just visualize because I don't know how to represent it on paper. But all the warp points in every system are in one spot. Say in the center sector. Then you can travel several systems accross the map in one turn. I did it once with a random generated map that I went back through and moved all teh warp points. It took a while, but the result was pretty cool, I thought anyway.

[tesco samoa]

People you are taking this to a really complex level.

The math is very simple. Please let me outline it here.

1.



where in the first step we made the change of summation variable , and in the second step, we made use of the fact that any sum over all terms is equivalent to a sum from 0 to .

Now natually you will if you want to minimize your starting location seperation as N approaches infinity in the following series



in other words, since you don't plan on creating an infinite amount (theorectical impossible except with hacking SEIV and changing the default player number by increasing it beyond the current level of 20) you really have the following formula -- which is an approximation that becomes more accurate with the larger the number of systems:




There is a difference in spread between Sprial arm Quadrants (when maximizing the number of threads) and the Torus Quadrants-- in additiona the Sprial Arm Quadrant will limit starting locations based on a number of factors.

For this we look at the Fourier thereom as applied to Duration and Bandwidths as Second Moments (using the normalized second moments of the squared magnitude:




where





As you can all see this explains my point in an elemantary model that is easy to read and follow.

[geoschmo]

sssssssssssssBOOM!

The sound of Geo's head exploding.

[Fyron]

Isn't Google wonderful Tesco?

[tesco samoa]

google i am alittle more refined than that cookie cutter search engine.

Yea I was being funny.... I was laughing the whole time i was making that post...