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In the explanations they give some solutions to stop split horizon from causing problems but wouldn't a default route from the "spokes" to the central router solve this problem easiest?

This should work since R1 was receiving updates from both R2 and R3, it just wasn't propagating them.

Static routes would solve the problem. How ever that solution would require changes to be made in the static routing tables each time there is topology
change in the network.