First Forward into Logo 9: Stars

Turn through bigger angles and draw stars with Logo.
Age
11 to 18
Challenge level
filled star empty star empty star
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem

First Forward Into Logo

Previous: FF8



In FF7 you looked at the following procedures and were invited to alter them at your leisure:

TO POLY :N

REPEAT :N [FD 45 RT 360/:N]

END

TO POLY :N :M

REPEAT :N [FD :M RT 360/:N]

END

Now...two activities:

Activity one:

Consider REPEAT 5 [ FD 100 RT 144] .........what do you think this means? Try to imagine what is happening before entering the procedure into a machine. Imagine being the 'turtle' that creates the graphic....how many times does it turn? Through how many degrees has it turned when it has finished the procedure?

Activity two:

Consider the procedure below. What do you think is happening? Talk through with your friends what you think the procedure is all about. Only then enter it into a machine and experiment with it.

TO GAZE :M :N

REPEAT :N [ FD :M LT 720/:N]

END

Try GAZE 100 5;

GAZE 120 7;

GAZE 200 9;

GAZE 50 8 (Beware maybe not what you think!)

Okay then what about GAZE 150 12?

GAZE 250 16?



First Forward into Logo 9: Stars
Alternatively, you might like to write a procedure for any of these shapes. Walk them first - either in your mind or in the playground.


You might also be interested in how the shapes were flled with colour.


This needs two new commands:


SETFLOODCOLOUR [:red :green :blue].
This works in a similar way to SETPC described in FF3.


FILL
This is the command that you use to fill your shape with the "Flood Colour" .
One word of warning - you have to be inside the shape to fill it!


 

Next: FF10