You may also like

Floored

A floor is covered by a tessellation of equilateral triangles, each having three equal arcs inside it. What proportion of the area of the tessellation is shaded?

Getting an Angle

How can you make an angle of 60 degrees by folding a sheet of paper twice?

Arclets Explained

This article gives an wonderful insight into students working on the Arclets problem that first appeared in the Sept 2002 edition of the NRICH website.

Star Polygons

Age 11 to 14 Challenge Level:

Here is a five-pointed star:
  
Draw a couple of five pointed stars of your own, making sure your lines are nice and straight!
Measure the interior angles at the five points and add them together.

What do you notice? 


Here is a seven-pointed star:

 

Draw some seven-pointed stars of your own.
Measure the interior angles at the seven points and add them together.

What do you notice? Can you explain your findings?



You might find the animation below helpful:





Click below to reveal a picture from the end of the animation:

 

 

 


Can you state and prove similar results for any other types of stars?