About Intuitive Geometry
The Intuitive Geometry method is a basic set of principles for using overlapping circles to create and design anything.
Overlapping circles have been studied since ancient times. We know that two overlapping circles create the almond shape called the vesica pisces from which we can make basic geometric shapes. The intuitive geometry method includes spirals, waves and scaling. Once you master the method’s 8 principles (circle, square, triangle, hexagon, pentagon, spirals, waves, scaling) you can apply them intuitively and draw anything. The book contains step by step instructions, step by step examples and example art.
Overlapping seven circles with the same radius creates 6 equal divisions. You can continue this division to create 12, 24, 48, 96, 192… radial divisions.
Overlapping four circles with the same radius creates a square. Overlapping squares create 4, 8, 16, 32, 64… radial divisions.
Overlapping two circles with the same radius creates the first triangle. Overlapping three can create a triangle twice the size. Overlapping six circles creates various possibilities including the five regular solids: the tetrahedron, cube, octahedron, icosahedron and dodecahedron.
Overlapping six circles with the same radius creates two different hexagons. Hexagonal tiling is efficient because it has minimal boundary lines – honeycomb is a great example of this.
There is more than one way you can draw the pentagon. Overlapping pentagons create 10, 20, 40, 80, 160… radial divisions.
Overlapping circles become the guides for creating any type of spiral. For equally spaced spirals you move one circle for every arch. For growing spirals you move double the number of circles for every new arch. You can create custom spirals to suit your designs.
Overlapping circles create the guides for drawing waves. Different scales of overlapping circles create infinite possibilities for custom wave designs. Waves are universal patterns of light, electricity, sound, wind etc.
Scaling is the secret to drawing anything with overlapping circles. The patterns of life are circles within circles and universally scale in steps: down half the size or up double in size.