Can you give me the formula for calculating its

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In summary, the conversation is about the number of edges in a graph with n levels. The formula for the number of edges is 3(n-1)^2+2(n-1), which can be simplified to 3n^2-4n+1. The conversation also mentions a graph with patterns of "7|" and the author Matt Grime, who is the creator of the problem. Fiona is asking for the name of the graph and more information about Matt Grime and his work.
  • #1
Vance
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edges?
if i have n level I will have n^2 nodes but I don't know how many edges, I am stupid, forgot this problem's famous 'creator'
Please give me his name so as for me to check out more, I d like to know about this really, please help

Thanks in advance
 

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  • #2
3(n-1)^2+2(n-1) looks about right, which is 3n^2-6n+3 +2n-2=3n^2-4n+1

tilt your head 45 degrees, there are (n-1)^2 identical patterns of "7|", that is two edges of a square and a diagonal, so that's the first part of the formula. the second bit comes from counting all that's left over.
 
  • #3
You havenot even taken a look at my attachment, but you spoke of it so fluently. ..lol...

Thank you so very much
 
  • #4
Matt Grime,
would you please tell me what exactly that graph's name is ?
I would like to learn more about its author and his work too, but I am clueless now...

Thanks Matt a lot,

Regards,
Fiona
 
  • #5
whoever is also fine and i am thankful...
 

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