Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?
The challenge is to produce elegant solutions. Elegance here implies simplicity. The focus is on rhombi, in particular those formed by jointing two equilateral triangles along an edge.
Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles
Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?
Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.
This LOGO challenge starts by looking at 10-sided polygons then generalises the findings to any polygon, putting particular emphasis on external angles
Look at how the pattern is built up - in that way you will know how to break the final pattern down into more manageable pieces.
This is a complete Logo development system which runs in the Flash Player. It can therefore be used to introduce Logo problems over the web without the need to refer readers to external. . . .
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
More Logo for beginners. Now learn more about the REPEAT command.
Learn about Pen Up and Pen Down in Logo
A Short introduction to using Logo. This is the first in a twelve part series.