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.

Intuitive Geometry Triangle Method Icons

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Triangle Step by Step Instructions

Triangle Fig 1

Draw any finite line. Find and mark AB. Draw two circles with the same radius on A & B. Find C. Connect AC and CB.
You have drawn an equilateral triangle.

Triangle Fig 2

Find D and mark it. Using radius AB draw a new circle with centres D. Find E & F, mark them.
Extend CA to E and CB to F. You have drawn an equilateral triangle double the size.

Triangle Fig 3

Using radius AB draw two a new circle with centre C. Find and mark H, I and G.
CONNECT CID. You have drawn an equilateral triangle.

Triangle Fig 4

Connect I &A, A &C and A & D. You have drawn a 3D Tetrahedron.

Triangle Fig 5

Connect GEB. You have created a star tetrahedron.

Triangle Fig 6

Draw a new circle Radius AB with centre E. Connect C, B, D, E, I and G to form a hexagon.
You have drawn an octahedron: eight equilateral triangles, four of which meet at each vertex.

Triangle Fig 7

Find and mark J, K, L, M, N and O. Connect JLN, Connect KOM.
You have drawn a Cuboctehedron, also known as “The vector equilibrium”, “The Singularity” etc.

How does it work

Overlapping Circles

Overlapping Circles Grid showing how Intuitive Geometry works

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