LOGO challenge - circles as bugs

Here are some circle bugs to try to replicate with some elegant programming, plus some sequences generated elegantly in LOGO.

Age
11 to 16
Challenge level
filled star filled 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



 

This builds on the Challenge Circles as Animals .



 

The idea of 'bugs' that grow with each successive generation and (when this problem was written) thoughts of the Y2K bugs- which if the newspapers were to be believedwould be here, there, everywhere. Surely some mistake! And it was!

However below are some bugs for the new millennium that can be replicated with some elegant programming.

LOGO Challenge - Circles as bugs

 

LOGO Challenge - Circles as bugs
LOGO Challenge - Circles as bugs

You might like to think about, discuss with others and try evaluating before copying out the following procedures and experimenting further

TO FIB :X :Y

PR :Y

WAIT 15

FIB :Y :X +:Y

END

Try FIB 0 1

TO POW :X :Y

PR :Y

WAIT 15

POW :X :X * :Y

END

Try POW 2 1

TO TRI :X :Y

PR :Y

WAIT 15

TRI :X + 1 :X + :Y

END

Try TRI 1 0

You may even like to consider sending us other procedures that generate other special sequences of numbers.