Intuitive Geometry is a simple method of drawing anything using basic geometric shapes & patterns- with step by step instructions to draw them yourself using only a pencil, compass and ruler. You do not need any training in art or mathematics to use it and it can be taught to children.
At any point (A) draw a circle of any size. Find any point on the circumference (B) and draw a circle with the same radius (AB). Continue around drawing a circle at any new intersection (C etc.) on the circumference and you will create 6 divisions.
Find points D & E, connect them with a straight line to divide the circle in half.
Find & mark F & G. Extend DE. Draw a circle with centre G and radius GA.
With the same radius continue drawing new circles on the new intersections H, I, J etc. You can now draw the wave by using the circles as guides.
To scale the wave smaller: Find K, L, M, N & mark them. Connect K & M and extend the line. Connect C & N and extend the line. Connect L & B, Find and mark O. With centre A and radius AO draw a circle. With the same radius continue drawing circles on the new intersections P, Q, R, S etc. You can now draw the wave by using the smaller circles as guides.
You can continue the wave indefinitely. Learn more about scaling in the scaling section.