Dividing a circle into areas lines (there are two points on one side and one on the other). So the recurrence can be expressed as which can be easily reduced to using the sums of the first formula_3 natural numbers and the first formula_3 squares, this combines to Finally which yields The lemma asserts that the number of regions is maximal if all "inner" intersections of chords are simple (exactly two chords pass through each point of intersection in the interior). This will be the case if the points on the circle are chosen "in general position". Under this assumption of "generic intersection", the number
Circle line party mentioned in several newspapers. On 31 May, the night itself, thousands of people attended, the largest Circle line party ever. Some dressed in costumes ranging from 1920s prohibition figures to Boris Johnson himself. The line was suspended after several trains were damaged during the party, and a number of London Underground staff and police officers were assaulted. Seventeen people were arrested due to disorderly behaviour and six tube stations were closed as they became overcrowded. Circle line party A Circle line party is a type of subway party occasionally held on the Circle line of the London Underground. Although the