PENTAGRAM CONSTRUCTION

Draw line and mark points A and B. Draw circle with radius AB. Draw circle with radius BA. Construct square ABCD.

Construct midpoint of AB at point E. Draw circle with radius ED. Mark points F and G where circle ED intersects the line.

Draw circle with radius AF. Draw circle with radius BG. Mark the intersection points of the circles at points H, I and J.

A, B, H, I and J form the points of a perfect geometric pentagram.

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Mark pentagram center (G) at the intersection of AB, CD, EF.

Construct the midpoint of AG at H and draw circle with radius GH. Mark points I, J, K, L.

H, I, J, K and L form the points of a pentagram with sides one-half the length of the original pentagram.

The area between the two pentagrams may be shaded with the graduated colors of the visible light spectrum,

from infared to ultraviolet, or each side may be shaded with a primary color, as below.