WOLFRAM|DEMONSTRATIONS PROJECT

Rhomboidal Stars

interior angles of rhombus (degrees)

red α

30

blue β

45

green γ

60

This Demonstration creates up to four (regular or irregular) stars from red, blue and green rhombuses with interior angles

α

,

β

and

γ

, respectively. The program works if the equation

αn+βm+γp=360

is satisfied by integers

n

,

m

,

p

, all greater than 0 (

α

,

β

and

γ

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.