# Spoon-Intersections

Intersections with 12 lines.

Intersections with 100 lines

```1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 var boolDoRefresh; const NUM_LINES = 12;   function setup() { createCanvas(720, 480); background('#FFFFFF'); strokeWeight(5); boolDoRefresh = true; }   function draw() { if(boolDoRefresh) { background('#FFFFFF'); var lines = constructLines(); findIntersections(lines); boolDoRefresh = false; } }   function mousePressed() { boolDoRefresh = true; }   function constructLines() { const LINE_LENGTH = 250; var lines = []; for(var i = 0; i < NUM_LINES; i++) { var x1 = random(720); var y1 = random(480); var x2 = random(100) > 50 ? x1 - random(LINE_LENGTH) : x1 + random(LINE_LENGTH); var y2 = ((random(100) > 50 ? 1 : -1) * sqrt(sq(LINE_LENGTH) - sq(x1 - x2))) + y1;   line(x1, y1, x2, y2); lines[i] = [x1, y1, x2, y2]; } return lines; }   function findIntersections(lines) { //uses calculations found at http://paulbourke.net/geometry/pointlineplane/ //draws circles around any points where lines intersect for(var i = 0; i < NUM_LINES; i++) { for(var j = i + 1; j < NUM_LINES; j++) { var x1 = lines[i][0]; var x2 = lines[i][2]; var y1 = lines[i][1]; var y2 = lines[i][3];   var x3 = lines[j][0]; var x4 = lines[j][2]; var y3 = lines[j][1]; var y4 = lines[j][3];   var u1 = (((x4 - x3) * (y1 - y3)) - ((y4 - y3) * (x1 - x3))) / (((y4 - y3) * (x2 - x1)) - ((x4 - x3) * (y2 - y1))); var u2 = (((x2 - x1) * (y1 - y3)) - ((y2 - y1) * (x1 - x3))) / (((y4 - y3) * (x2 - x1)) - ((x4 - x3) * (y2 - y1)));   if(u1 > 0 && u1 < 1 && u2 > 0 && u2 < 1) { var x = x1 + (u1 * (x2 - x1)); var y = y1 + (u1 * (y2 - y1)); fill('#FFC600'); ellipse(x, y, 15); } } } }```