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

Square Fig 1

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).


Square Fig 2

Continue around drawing a circle at any new intersection (C etc.) on the circumference .
Find points D & E, connect them with a straight line to divide the circle in half. Find points F & G and mark them.


Square Fig 3

Draw circles with the same radius on points G & F to find the square HIJK.


Square Fig 4

Connect H & K and I & J through the centre. Extend AB. Draw the squares.


Square Fig 5

Where the two squares intersect, Find points Q R S T U V W & X. Connect R & V, S & W, T & X, U & Q through the centre.
Find the new intersections on the circumference to create 16 divisions on the circle.


Square Fig 6

Complete the new squares by connecting VX, XR, RT, TV and UW, WQ, QS, SU.


Square Fig 7

Find all the new intersections, extend them to the circumference and mark them Y, Z etc.
You have now created 32 divisions.


Square Fig 8

Draw the new squares Y1234 etc. Find the new intersections (64 divisions!) and mark them too.


Square Fig 9

Draw the new squares.

How does it work

Overlapping Circles

Overlapping Circles Grid showing how Intuitive Geometry works

Cube

Square Fig 10 - Cube

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.

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