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there are thirty (30) points. To double check, add 1+2+3+4... till 19. Since you are dropping one line for every point connected to all the other lines, you just add the numbers consecutavely from 1 to the second last number of your point. The reason you DON'T add the last number is because you can't connect one point with itself.

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Q: In a mystic rose with 435 lines how many points would it have?
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