This is a companion come the Dodecahedron Calendar project. Below I show how to draw a perfect pentagon. Girlfriend will need a ruler and also a compass.
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Then attract the circle centered on the crosshairs. Execute not wrinkles the compass after ~ the one is drawn. The next of the pentagon will certainly be 1.176 times the radius.
Without adjusting the compass, place the point of the compass on the circle whereby it the cross the horizontal line. Now attract arcs top top the vault circle over and below and also connect those points.
Now facility the compass on the crosshair made from the bisector and also draw an arc native the height of the circle down to the horizontal line. BTW, you"ve just attracted a golden ratio.
At the end of this step, carry out not nearby the compass. Girlfriend will need that street to make four an ext arcs. Placing the suggest of the compass at the optimal of the circle attract an arc from wherein the last arc intersected the horizontal line the end to the circle.
And finally, draw lines from every intersection to kind a pentagon. To it is in honest, I"ve never gained this to occupational the first time. Over there are simply too numerous places to do a couple of thousandths that an customs mistake and they all include up. What I have to do is ar the facility of the compass at the arc intersection just over the horizontal line on the appropriate side, then readjust the compass in or out by one 5th of the street I"m off from the top of the circle. Then begin over indigenous the height of the circle and also work my way around again. Also though this sounds prefer proof that the procedure is not correct I"ve excellent the math and also it should work if not for person error.
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I began by deciding how long a side should be. Then using the 1.176 I discovered the radius that offered me that length side top top the pentagon.