*Options and Futures* ` ` ` `*A brief note on topology* ` ` ` `
*Cube*

g h
+------------+
|\ |\
| \ a | \ b
| +------------+
| | | |
f | | e | |
+--|---------+ |
\ | \ |
\| d \| c
+------------+

This cube architecture connects eight nodes. ` `
Every node is connected to three other ones (in the x, y, and z
dimension). ` `
Starting from any one node, I can reach one in 0 hops (the one
I started with, let's say **a**),
three others in 1 hop (**b**, **g**, **d**),
three more in the 2nd hop **(h**, **f**, **c**),
and the remaining eigth node in a 3rd hop (**e**);
taking 1 1/2 hops to
reach any node on average, and 3 in the worst case.