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.

Along with all kinds of other designs this Intuitive Geometry series is available in the shop as an e-book, an A4 print ready workbook and print ready posters

Hexagon Fig 1

Draw any finite line. Find and mark AB. Draw two circles with the same radius on A & B. Find and mark C.

Hexagon Fig 2

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.

Hexagon Fig 3

Connect C, B,C,D,E,F and G to form the hexagon.

Hexagon Fig 4

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°.

How does it work

Overlapping Circles

Overlapping Circles Grid showing how Intuitive Geometry works

The Cube

Hexagon Fig 5

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

Hexagon Fig 6

The Icosahedron

Hexagon Fig 7

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.

Hexagon Fig 8

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

Hexagon Fig 9

“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.

How does it work


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.

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