Interactive Polygons

Play with a polygon! Try adding or subtracting points.
See the lengths, angles and coordinates, from triangles on up.




Note: due to computer rounding errors the last digit is not always correct.


Use the "Edit" button to manually edit the coordinates, or to enter new coordinates of your own.

What is Regular, Concave, Complex?

polygon regular, irregular, concave, complex

When all angles are equal and all sides are equal it is regular, otherwise it is irregular

When any internal angle is greater than 180° (it points inwards) then it is concave. (Think: concave has a "cave" in it), otherwise it is convex.

And a complex polygon intersects itself (the boundary crosses over), otherwise it is simple (like most polygons we deal with). Many rules about polygons don't work when they are complex.