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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Spirals Step by Step Instructions
Draw a line of any length. Draw a circle of any size on the line. Mark the centre as A and mark B on the circumference. Draw a circle with centre B and radius AB. Using radius AB continue to draw intersecting circles along the line.
To draw a spiral with equal spacing draw an arch with centre B & radius AB on the right side. Find & mark C. Draw an arch with centre C and radius AC on the left side. Find & mark D. Draw an arch with centre B and radius BD on the right side. Find & mark E. Draw an arch with centre C and radius CE on the left side. Find & mark F. Draw an arch with centre B and radius BF on the right side. Find & mark G. With centre C and radius CG draw an arch on the left side.
This spiral can be continued indefinitely, just add more smaller circles as guides.
To draw a growing spiral continue from Fig 1: Find C & D, mark them and connect them to divide the area in half. Find & mark E. With centre E and radius EB draw an arch on the left side. With centre B and radius BA draw an arch on the opposite side. Find and mark F. With centre F and radius FA draw an arch on the left side and mark G. With centre A and radius AG draw an arch on the right side. Find and mark H. With centre G and radius GH draw an arch on the left side.
You can continue this indefinitely by growing the spiral with an arch double the size of the previous one – use the little circles as a guide to count out the new circles for the arches.