Sacred geometry

3) The \/5

3.1
Generating the \/5 rectangle from the 1:2 rectangle. Starting with a double square ABCD bisected at EF: with centre G and radius GA, swing a circle intersecting the extended dividing line EF at H and K. HK=\/5. MLKH is a \/5 rectangle.		 Please enable Java for an interactive construction (with Cinderella).
3.2
The \/5 and the pentagon. Draw a circle with its semicircle inscribed in a double square rectangle. Extend the dividing line of the double square to complete the two cardinal axes, XX' and YY' of the circle. With centre A and radius AY swing an arc to B. With centre Y and radius YB swing an arc to cut the circle at C and D. With centres C and D swing more arcs cutting the circle at E and F. Draw pentagon YDFEC.		 Please enable Java for an interactive construction (with Cinderella).
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