LOGO Challenge 10 - Circles

In LOGO circles can be described in terms of polygons with an infinite (in this case large number) of sides - investigate this definition further.
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative


These challenges arose from conversations and ideas during a Royal Institution Saturday morning Maths Workshop. Consider the procedure:

TO POLY :X :Y

REPEAT :Y [FD :X LT 360/:Y]

END

where :X and :Y are variables, that can be changed as you experiment and try to understand what is happening.

Think about, try to imagine, then experiment with:

POLY 50 7

POLY 20 16

POLY 20 30

etc..

What happens as the value for :Y increases yet further? (i.e. considering the limitations with your monitor's powers of resolution.)

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BUT

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What is the most elegant way of coding the drawing of a circle of radius 60 screen units in the centre of your screen?

[Hint: use the primitive HOME to return turtle.]

Naturally, geometric designs have long been embellished with circles.

You might like to consider re-creating the following designs this month.

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LOGO Challenge 10 - Circles
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LOGO Challenge 10 - Circles


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LOGO Challenge 10 - Circles