This is a companion to the Dodecahedron Calendar project. Right here I show how to attract a perfect pentagon. Friend will require a ruler and a compass.

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Then draw the circle centered on the crosshairs. Carry out not fold the compass after the circle is drawn. The side of the pentagon will certainly be 1.176 time the radius.

Without adjusting the compass, ar the point of the compass on the circle where it the cross the horizontal line. Now attract arcs on the ahead circle above and below and connect those points.

Now center the compass top top the crosshair made from the bisector and draw one arc native the top of the circle under to the horizontal line. BTW, you"ve just drawn a gold ratio.

At the finish of this step, execute not nearby the compass. You will need that street to do four more arcs. Putting the allude of the compass at the height of the circle attract an arc from whereby the critical arc intersected the horizontal line the end to the circle.

And finally, attract lines from each intersection to kind a pentagon. To it is in honest, I"ve never obtained this to work-related the very first time. Over there are just too many places to do a few thousandths of an inch mistake and they all add up. What I need to do is location the center of the compass at the arc intersection just above the horizontal line on the best side, then adjust the compass in or the end by one 5th of the distance I"m turn off from the top of the circle. Then begin over from the height of the circle and also work my means around again. Even though this sounds like proof the the process is not correct I"ve done the math and also it need to work if not for human error.

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I began by deciding exactly how long a side have to be. Then using the 1.176 I discovered the radius that gave me that size side top top the pentagon.