How to graph fano's plane


#1

Hi,
I would like to know if it’s possible to graph a plano’s plane with julia and help to make it
Regards


#2

In order for people to be able to help you, you need to tell us what a fano plane is and what you have tried so far.


#3

Assuming it’s this, and all you need is a diagram:

using LightGraphs, GraphPlot
g = Graph(7)
edges = [(1,2), (1,3), (1,4), (2,3), (2,4), (2,5), (2, 6), (3,4), (3,5), (3,6), (3,7), (4,6), (4,7), (5,6), (6,7)]
for t in edges
    add_edge!(g, t[1], t[2])
end
gplot(g)

yielding

This of course is not a true mathematical representation of Fano’s plane, but it results in a (more-or-less) correct 2-D visual representation. You might also be interested in the Heawood Graph, which Wolfram tells me is the point/line incidence graph on the Fano plane and can be created using LightGraphs.smallgraph(:heawood).


#4

Thank you that’s what I was looking for !


#5

Thank you I just answer I was looking for this kind of graphs

And sorry I forget to explain my wish.

Regards


#6

OK, it would have been helpful if you had given the link to the Wikipedia page or a picture of the graph.


#7

Yes, I didn’t think of it… But now I know what to do. In fact I
was desespearing of finding a way to do it … I was my last
atempt because I try with other language and go no positive answer
!

Sorry again and thanks all for your help