Maps, theory discussion

[Loser]

I'm trying to figure what a tetrahedron map would look like...

One with a system at each point is pretty simple.

code:

---

  1

 /|\

2-|-3

 \|/

  4

---

So I add one more system between each, and ... well, it's complicated. To complicated for ASCII, or for me in ASCII, anyway. It starts like this.

code:

---

    1

   / \

  2---3

 / \ / \

4---5---6

 \ / \ /

  7---8

   \ / \

    9---A

---

Then things get complicated, because the following connections are needed in addition to these.

• 1-A
• 2-7
• 2-A
• 3-8
• 3-A
• 7-A

And that's just ten systems.

So, my coworkers now have another reason to think oddly of me, as I have spent the Last hout or two figuring out how to make an equilateral triangle out of rectangular pages of paper, and then scribbling on it.

The next possible tetrahedron will have twenty systems, and after that thirty-five. It only gets more complicated and less readable.

So... how're those cubes coming?

[edit: note that the verticies are connected to three other systems and all other systems are connected to six other systems. It will remian this way for tetrahedrons of any size.]

[ January 19, 2004, 17:37: Message edited by: Loser ]