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Broad Topics > Information and Communications Technology > Logo

LOGO Challenge - Recollection

Stage: 3, 4 and 5 Challenge Level:

Several procedures to think about but there are several things you can do to help yourself such as breaking the procedures down stepwise (rather than into smaller peices) What does the first line do?. . . .

LOGO Challenge - Blob

Stage: 4 and 5 Challenge Level:

Working with recursion. What is going on how does each iteration feen into the next? All within a geometric setting.

LOGO Challenge 9 - Overlapping Polygons

Stage: 2, 3 and 4 Challenge Level:

This LOGO challenge starts by looking at 10-sided polygons then generalises the findings to any polygon, putting particular emphasis on external angles

LOGO Challenge - the Humble Square

Stage: 2, 3 and 4 Challenge Level:

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.

First Forward Into Logo: Trail

Stage: 3, 4 and 5 Challenge Level:

Learn the Logo programming language from scratch by working through some mathematical challenges both geometrical and numerical.

LOGO Challenge - Trees

Stage: 4 and 5 Challenge Level:

Recursion and the some beautiful results

Logo Challenge 3 - Star Square

Stage: 2, 3 and 4 Challenge Level:

Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles

LOGO Challenge 2 - Diamonds Are Forever

Stage: 2, 3 and 4 Challenge Level:

The challenge is to produce elegant solutions. Elegance here implies simplicity. The focus is on rhombi, in particular those formed by jointing two equilateral triangles along an edge.

LOGO Challenge - Tilings

Stage: 3 and 4 Challenge Level:

Three examples of particular tilings of the plane, namely those where - NOT all corners of the tile are vertices of the tiling. You might like to produce an elegant program to replicate one or all. . . .

LOGO Challenge 6 - Triangles and Stars

Stage: 3 and 4 Challenge Level:

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.

LOGO Challenge 4 - Squares to Procedures

Stage: 3 and 4 Challenge Level:

This LOGO Challenge emphasises the idea of breaking down a problem into smaller manageable parts. Working on squares and angles.

Schlafli Tessellations

Stage: 3, 4 and 5 Challenge Level:

are somewhat mundane they do pose a demanding challenge in terms of 'elegant' LOGO procedures. This problem considers the eight semi-regular tessellations which pose a demanding challenge in terms of. . . .

LOGO Challenge 1 - Star Square

Stage: 2, 3 and 4 Challenge Level:

Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.

LOGO Challenge 8 - Rhombi

Stage: 2, 3 and 4 Challenge Level:

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

LOGO Challenge 5 - Patch

Stage: 3 and 4 Challenge Level:

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

LOGO Challenge 7 - More Stars and Squares

Stage: 3 and 4 Challenge Level:

Can you use LOGO to create a systematic reproduction of a basic design? An introduction to variables in a familiar setting.

Weekly Challenge 20: the Olympic LOGO

Stage: 3, 4 and 5 Short Challenge Level:

A weekly challenge concerning drawing shapes algorithmically.

Stage: 3, 4 and 5

Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.

LOGO Challenge - Following On

Stage: 3, 4 and 5 Challenge Level:

Remember that you want someone following behind you to see where you went. Can yo work out how these patterns were created and recreate them?

LOGO Challenge 11 - More on Circles

Stage: 3 and 4 Challenge Level:

Thinking of circles as polygons with an infinite number of sides - but how does this help us with our understanding of the circumference of circle as pi x d? This challenge investigates. . . .

LOGO Challenge 12 - Concentric Circles

Stage: 3 and 4 Challenge Level:

Can you reproduce the design comprising a series of concentric circles? Test your understanding of the realtionship betwwn the circumference and diameter of a circle.

Logo

Stage: 2, 3, 4 and 5 Challenge Level:

This is a complete Logo development system which runs in the Flash Player. It can therefore be used to introduce Logo problems over the web without the need to refer readers to external. . . .

First Forward Into Logo 9: Stars

Stage: 3, 4 and 5 Challenge Level:

Turn through bigger angles and draw stars with Logo.

LOGO Challenge - Sequences and Pentagrams

Stage: 3, 4 and 5 Challenge Level:

Explore this how this program produces the sequences it does. What are you controlling when you change the values of the variables?

LOGO Challenge 10 - Circles

Stage: 3 and 4 Challenge Level:

In LOGO circles can be described in terms of polygons with an infinite (in this case large number) of sides - investigate this definition further.

LOGO Challenge - Pentagram Pylons

Stage: 3, 4 and 5 Challenge Level:

Pentagram Pylons - can you elegantly recreate them? Or, the European flag in LOGO - what poses the greater problem?

First Forward Into Logo 7: Angles of Polygons

Stage: 3, 4 and 5 Challenge Level:

More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.

LOGO Challenge - the Logic of LOGO

Stage: 3 and 4 Challenge Level:

Just four procedures were used to produce a design. How was it done? Can you be systematic and elegant so that someone can follow your logic?

LOGO Challenge - Triangles-squares-stars

Stage: 3 and 4 Challenge Level:

Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

LOGO Challenge - Circles as Animals

Stage: 3 and 4 Challenge Level:

See if you can anticipate successive 'generations' of the two animals shown here.

First Forward Into Logo 1: Square Five

Stage: 2, 3 and 4 Challenge Level:

A Short introduction to using Logo. This is the first in a twelve part series.

First Forward Into Logo 4: Circles

Stage: 2, 3 and 4 Challenge Level:

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?

First Forward Into Logo 2: Polygons

Stage: 2, 3 and 4 Challenge Level:

This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.

First Forward Into Logo 6: Variables and Procedures

Stage: 3, 4 and 5 Challenge Level:

Learn to write procedures and build them into Logo programs. Learn to use variables.

First Forward Into Logo 12: Puzzling Sums

Stage: 3, 4 and 5 Challenge Level:

Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.

First Forward Into Logo 10: Count up - Count Down

Stage: 3, 4 and 5 Challenge Level:

What happens when a procedure calls itself?

First Forward Into Logo 5: Pen Up, Pen Down

Stage: 2, 3 and 4 Challenge Level:

Learn about Pen Up and Pen Down in Logo

First Forward Into Logo 8: More about Variables

Stage: 3, 4 and 5 Challenge Level:

Write a Logo program, putting in variables, and see the effect when you change the variables.

Stage: 3 and 4 Challenge Level:

Using logo to investigate spirals

Friezes Using Logo

Stage: 3 Challenge Level:

Experimenting with variables and friezes.

Flower Power

Stage: 3 and 4 Challenge Level:

Create a symmetrical fabric design based on a flower motif - and realise it in Logo.

Making Moiré Patterns

Stage: 3, 4 and 5 Challenge Level:

Moiré patterns are intriguing interference patterns. Create your own beautiful examples using LOGO!

First Forward Into Logo 11: Sequences

Stage: 3, 4 and 5 Challenge Level:

This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.

LOGO Challenge - Circles as Bugs

Stage: 3 and 4 Challenge Level:

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

Overlaid

Stage: 2, 3 and 4 Challenge Level:

Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?

Trees and Friezes

Stage: 3 Challenge Level:

This problem is based on the idea of building patterns using transformations.