Lines

Factor

2 =2:1 -1 cardioid3 nephroid4 3 petal5 4 petal6 5 petal7 6 petal8 sym 7 petal sym12 sym 11 petal sym13 sym 12 petal sym18 sym o 17 odd = hole18 sym e 17 even = radiator42 sym 42 hole+1 lines+2 even triangles+2 odd stars+3 %4 cross symmetry2:1 shell3:1 perspective4:1 four rays5:1 five rays6:1 six rays7:1 seven rays2:1 +1 stars3:1 +3 lines and 60-diagonals4:1 +4 right and 45-diagonals5:1 +5 right and 18-diagonals6:1 +6 rectangles and triangles2:1 +2 ef rectangles2:1 +2 of squares2:1 -2 ef clean radiator2:1 -3 =3:1 -2 heart2:1 -4 wrapped nephroid4:1 -4 net and radiator

There will be a radial symmetry whenever the lines are divisible by one less than the factor.

In these patterns there may be two types of patterns depending of the number of lines is even or odd.

69,18 heart61,13 heart167,111 =167,164 zig200,161 =200,41 double hole280,161 ~266,39 triple hole200,149 =200,49 squares and diagonals180,41 hole1000,281 deep hole555,200 holes add174,117 hole228,49 clock156,49 clock o210,46 15 web138,34 cube138,35 inscribed nephroid306,62 inscribed heart186,42 inscribed triangle174,40 inscribed triangle150,36 pizza156,81 4 petal, 2:1 -6200,29 4 petal, tilted280,36 pretty web717,90 pretty flower

Fun with numbers =)

This is what happens if you align numbered dots in a circular pattern, and draw a line from every number to the product between this number and the set factor. Some pretty amazing patterns for sure.

Code by: unitilio.com