#2**+10 **

I'm assuming the "star" can be fashioned out of a pentagon inscribed in a circle having a radius of 1. And the center of this circle is located at (0, 0).

I'm also assuming that the "top" corner (vertex) of the star is located at (0,1)

Then.......proceeding clockwise, the next corner (vertex) is located at (cos (18), sin (18)) = about (.951, .309)

And the next corner is located at (cos (306), sin (306)) = about (.588, -.809)

And by symmetry, the final two corner points are located at (-.588, -.809) and (-.951, .309)

Here's what it kinda' looks like ..... (fig. 2).........http://www.cut-the-knot.org/pythagoras/pentagon.shtml

And here's a graph of the points......I'll leave it to you to "connect the dots".......https://www.desmos.com/calculator/rabbm7mnln

CPhill
May 28, 2015

#2**+10 **

Best Answer

I'm assuming the "star" can be fashioned out of a pentagon inscribed in a circle having a radius of 1. And the center of this circle is located at (0, 0).

I'm also assuming that the "top" corner (vertex) of the star is located at (0,1)

Then.......proceeding clockwise, the next corner (vertex) is located at (cos (18), sin (18)) = about (.951, .309)

And the next corner is located at (cos (306), sin (306)) = about (.588, -.809)

And by symmetry, the final two corner points are located at (-.588, -.809) and (-.951, .309)

Here's what it kinda' looks like ..... (fig. 2).........http://www.cut-the-knot.org/pythagoras/pentagon.shtml

And here's a graph of the points......I'll leave it to you to "connect the dots".......https://www.desmos.com/calculator/rabbm7mnln

CPhill
May 28, 2015

#6**0 **# How did you end up with more stars than me when **I** answered the question ??????

CPhill
May 28, 2015