There are many, many, ways to plot a pentagon but most use a protractor. Not every workshop has one to hand. This method only needs a way to draw a circle (circle, piece of string, mug, bucket - anything circular) and a ruler to find the diameter and count around the first arc of the circumference. It is in fact very accurate when you take time to do it right, plotting off a protractor is not as easy as you might think. As part of my indulgence this morning I constructed, using ruler, compasses and protractor, off a straight line, off a centre point (72 deg) and around the circumference (108 deg). None were as satisfactory as stepping off at 1/5 of circumference.

Anyway, draw your diagram, based on a pentagon to produce the star. Cut out one of the arms to give a kite or diamond template running from the centre of the star to the tip of the arm. Cut out 5 of these from your chosen timber, grain running along the length, not across. Plane a slope from full thickness at the inner end to a few mm thick at the outer tip. Mark a centre line along the length. Chamfer each side to a few mm thickness. Join the parts and finish