Question

Create a formula from the picture.

Answer 1

Assume the lines are bidirectional if two more devices were added how many more links would there be? Create a formula to support the pattern.

Answer 2

Network topology?

Answer 3

Yes. :)

Answer 4

This is a full mesh network topology, there is a well known formula already that you can use:
\[\dfrac{n(n - 1)}{2}\]
Where \(n\) is the number of devices.

Answer 5

Oops, I should not that equals the number of links.

Answer 6

Does that formula work for a exponentially large number of devices?

Answer 7

It should, but realistically large networks will never use a full mesh network topology. You might find the computer science group a better place to ask such questions in the future.

Answer 8

Ok thanks. :)

Answer 9

You are welcome.