DATA TREES

hello, im new in grasshopper and what im looking is a ramification from one center in equal angle and lenght, as you can see in grasshopper. i want the system to stop growing when to lines reach each other as you can see in the picture, and continue growing from the end of non close curves. i think it is a thing of data trees or deleting from a list the repeated points as they duplicate on over the other. appriciate your help! thank you very much