Logo challenge - the humble square
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.
Age
7 to 16
Challenge level
Problem
Let's begin by looking at the "humble" square. Below is the pattern reproduced after three stages of development :
Image
What would subsequent stages of development look like?
If instead of squares equilateral triangles or regular hexagons had been used?
What about this?
Image
Student Solutions
We do not offer LOGO programs as solutions because there are so
many ways to tackle the challenges. You will know if you have the
correct solution because you will be able to create the pattern in
the picture
Write a procedure to draw a square - call it "1Square"
Write a procedure that draws 4 squares which uses "1Square"- call it "4Square"
And so on.
Write a procedure to draw a square - call it "1Square"
Write a procedure that draws 4 squares which uses "1Square"- call it "4Square"
And so on.
Teachers' Resources
LOGO Challenge - the Humble Square
Let's begin by looking at the "humble" square. Below is the pattern reproduced after three stages of development :
Image
What would subsequent stages of development look like?
If instead of squares equilateral triangles or regular hexagons had been used?
What about this?
Image
Forget about the colours - what is happening with the squares?
Can you write a procedure for a small square?
Four small squares?
A larger square?
Sets of four small squares in a larger square?
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.