Shoe in a Box... otherwise known as an A!

Enjoy looking at my graph! (:

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Try and answer these questions!
1) How many nodes does this graph have? How many edges?
2) Is the graph connected? If so, find a path from the left pink node to the uppermost large green node. If not, how many connected components are there and which nodes are in each?
3) Is this graph planar? If not, why?

Ashi!, May 9, 2011, Created with GeoGebra