The Intuitive Geometry method is a basic set of principles for using overlapping circles to create and design anything. Below are the step by step instructions for the hexagon. Learn the method with step by step instructions online: Circle, Square, Triangle, Hexagon, Pentagon, Spirals, Waves, Scaling.
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Hexagon with 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.