Rhomboidal Stars

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This Demonstration creates up to four (regular or irregular) stars from red, blue and green rhombuses with interior angles ,
and
, respectively. The program works if the equation
is satisfied by integers
,
,
, all greater than 0 (
,
and
refer to the angles chosen with the sliders). The number of solutions for different interior angle combinations varies from zero to 10 (and sometimes even more), but this Demonstration shows a maximum of four.
Contributed by: Jonathan Kogan and Matthew Hoek (October 2016)
Open content licensed under CC BY-NC-SA
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"Rhomboidal Stars"
http://demonstrations.wolfram.com/RhomboidalStars/
Wolfram Demonstrations Project
Published: October 4 2016