Only certain stars can be created by folding a square and cutting off a tip, specifically a four-pointed, six-pointed, or eight-pointed star. The document instructs students to first imagine which stars can be made this way, then try it out using origami paper squares to see if they can create the star they envisioned. Additionally, the document describes creating six or eight-pointed stars through stitch art by wrapping colored thread in patterns, and demonstrates how GeoGebra can be used to generate different star shapes programmatically.

1. Circles and polygons: star project
1. Mental geometry: think first - then follow your plan and create
a) Imagine first, you will fold a square. At he end you have to cut off the tip of a
star. Which of the following stars can be created by folding and cutting off a tip?
⃝ four-pointed star ⃝ six-pointed star ⃝ eight-pointed star
⃝ ten-pointed star ⃝ twelve-pointed star ⃝ sixteen-pointed star Stern
b) Now you can try out, which stars you can create by folding and cutting off a
tipYou can use origami papers (squares). Could you manage to get the star that
you had planned before?
2. Creating stars by stich art!
six-pointed (regular) eight-pointed (irregular) eight-pointed (irregular)
Choose with your partner one of the three forms. Wrap round coloured
embroidery thread, so that different nice (symmetric) pattern come up.
3. Stars created with
GeoGebra
Here you see examples
of different ways to
create stars with
GeoGebra.
Try to create stars
with different tips by
using different ways.