Intuitive Geometry is a simple method of drawing anything using overlapping circles. Once you master the method’s 8 principles (circle, square, triangle, hexagon, pentagon, spirals, waves, scaling) you can apply them intuitively and draw anything.
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Hexagon Step by Step Instructions
Draw any finite line. Find and mark AB. Draw two circles with the same radius on A & B. Find and mark C.
Using the same radius (AB) draw a circle with centre C. Continue around the circle and draw a circle on every new intersection to find D, E, F and G. Draw circles with radius AB with centres D, E, F and G.
Connect C, B,C,D,E,F and G to form the hexagon.
Find H, I, J, K, L and M, mark them and connect them to form the new hexagon.
You have drawn a second hexagon, double the size and turned 90°.
At any point draw a circle of any size. Find any point on the circumference and draw a circle with the same radius (AB). Continue around drawing a circle at any new intersection on the circumference. Mark the points C, D, E, F, and G. Connect A & C, A & E and A & G. Connect A & D, A & F and A & B. You have drawn a cube.
Tiling Space 2D & 3D
Draw any finite straight line AB. Draw a circle of any size on the line. Using the same radius mark 6 divisions on the circumference of the circle. Connect the divisions through the middle to create CF and DE. Using the same radius find and circle G, H, I and J. Find and mark K, L, M N and O. Connect J &K, K& L, L&M, N&N , N&O and O&J to create the hexagon.
Find and mark P, Q and R. Connect J & P, J & Q, Q & N, N & R, R & L, L & P, K & P, Q & O, R & M and then P & Q, R & P and R & Q.
The Vector Equilibrium
“The Singularity”, a Cuboctehedron – 12 Around 1 or 13 Spheres generates 12 radiating vectors of equal light, to the 24 circumscribing vectors that together = 36 Edges.
The Tetrahedron Matrix
The 64 Tetrahedron matrix is centred by the vector equilibrium, “the singularity”, the “seed of life”. This vector equilibrium / “Seed if life” doubles in size to form the Tetrahedron matrix / “Flower of Life”. This a fundamental geometric pattern of matter, it scales to any size, like a fractal, growing in octaves.