Logo challenge 6 - triangles and stars
Recreating the designs in this challenge requires you to break a
problem down into manageable chunks and use the relationships
between triangles and hexagons. An exercise in detail and elegance.
Age
11 to 16
Challenge level
Problem
Can you recreate any of these images?
Try to break the problem down into smaller tasks, for example making a large triangle, and saving each "piece" as a procedure before putting all the smaller pieces of your jigsaw back together.
First try to create the picture without colour then try adding some colour later. Y
ou will need the commands:
SETFLOODCOLOUR < n> where n is a number between 0 and 15
FILL
Remembering to move the turtle into the shape before filling it. There is an example of colouring in the notes of LOGO Challenge 5 - Patch.
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Teachers' Resources
How about starting by creating procedures for the small and large
triangles?
Then you might create a procedure for the part of the patternmade from the large triangles:
What is the "LT 30" for at the start of this procedure?
What is happening between each triangle being drawn?
Now you could produce the part of the design created from the small triangles.
Finally, put the two patterns together.
Of course there are other ways of doing this. You could create a procedure comprising the basic unit of one large and two small triangles and then repeat this six times.
The main point is that working on small 'modules' at a time means you can test things out before moving on. It also helps you to think about how the problem can be tackled by considering smaller tasks to complete.
If you have time:
Think carefully about the procedure below. It involves a technique called recursion and builds up a particular pleasing pattern of squares. There are many later LOGO Challenges that introduce and develop this idea further:
Try SQUARE 60 6 or SQUARE 60 2 or......
to smtri
REPEAT 3 [FD 20 RT 120]
end
to lgtri
REPEAT 3 [FD 100 RT 120]
end
Then you might create a procedure for the part of the patternmade from the large triangles:
to star
LT 30 REPEAT 6 [lgtri RT 150 PU FD
20 PD LT 90]
end
What is the "LT 30" for at the start of this procedure?
What is happening between each triangle being drawn?
Now you could produce the part of the design created from the small triangles.
Finally, put the two patterns together.
Of course there are other ways of doing this. You could create a procedure comprising the basic unit of one large and two small triangles and then repeat this six times.
The main point is that working on small 'modules' at a time means you can test things out before moving on. It also helps you to think about how the problem can be tackled by considering smaller tasks to complete.
If you have time:
Think carefully about the procedure below. It involves a technique called recursion and builds up a particular pleasing pattern of squares. There are many later LOGO Challenges that introduce and develop this idea further:
TO SQUARE :SIDE :B
IF :SIDE < :B [STOP]
REPEAT 4 [FD :SIDE SQUARE :SIDE/2
:B LT 90]
END
Try SQUARE 60 6 or SQUARE 60 2 or......