List

Logo

LOGO Challenge 1 - Star Square
problem

LOGO challenge 1 - star square

Age
7 to 16
Challenge level
filled star empty star empty star

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

Logo Challenge 3 - Star Square
problem

LOGO challenge 3 - star square

Age
7 to 16
Challenge level
filled star empty star empty star

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

LOGO Challenge 9 - Overlapping Polygons
problem

LOGO challenge 9 - overlapping polygons

Age
7 to 16
Challenge level
filled star empty star empty star

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 2 - Diamonds are forever
problem

LOGO challenge 2 - diamonds are forever

Age
7 to 16
Challenge level
filled star empty star empty star

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 8  - Rhombi
problem

LOGO challenge 8 - rhombi

Age
7 to 16
Challenge level
filled star empty star empty star

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

LOGO Challenge  - The humble square
problem

LOGO challenge - the humble square

Age
7 to 16
Challenge level
filled star empty star empty star

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 2: Polygons
problem

First forward into Logo 2: polygons

Age
7 to 16
Challenge level
filled star empty star empty star

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 4: Circles
problem

First forward into Logo 4: circles

Age
7 to 16
Challenge level
filled star empty star empty star

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

Muggles, Logo and Gradients
article

Muggles, Logo and gradients

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

Programming: Moiré patterns
article

Programming: Moiré patterns

We need computer programmers! Logo is a great entry-level programming language - and you can create stunning graphics while you learn.

First Forward into Logo 11: Sequences
problem

First forward into Logo 11: sequences

Age
11 to 18
Challenge level
filled star empty star empty star

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

LOGO Challenge 5 - Patch
problem

LOGO challenge 5 - patch

Age
11 to 16
Challenge level
filled star empty star empty star

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

LOGO Challenge 10 - Circles
problem

LOGO challenge 10 - circles

Age
11 to 16
Challenge level
filled star empty star empty star

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 4 - Squares to Procedures
problem

LOGO challenge 4 - squares to procedures

Age
11 to 16
Challenge level
filled star empty star empty star

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

LOGO Challenge 11 - More on Circles
problem

LOGO challenge 11 - more on circles

Age
11 to 16
Challenge level
filled star empty star empty star

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 this relationship.

LOGO Challenge 12 - Concentric Circles
problem

LOGO challenge 12 - concentric circles

Age
11 to 16
Challenge level
filled star empty star empty star

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 Challenge 6 - Triangles and Stars
problem

LOGO challenge 6 - triangles and stars

Age
11 to 16
Challenge level
filled star empty star empty star

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.

Making Moiré Patterns
problem

Making Moiré patterns

Age
11 to 18
Challenge level
filled star empty star empty star

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

Flower Power
problem

Flower power

Age
11 to 16
Challenge level
filled star empty star empty star
Create a symmetrical fabric design based on a flower motif - and realise it in Logo.
Schlafli Tessellations
problem

Schlafli tessellations

Age
11 to 18
Challenge level
filled star empty star empty star

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 'elegant' LOGO procedures.

LOGO Challenge - Circles as bugs
problem

LOGO challenge - circles as bugs

Age
11 to 16
Challenge level
filled star filled star empty star

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

LOGO Challenge - Triangles-Squares-Stars
problem

LOGO challenge - triangles-squares-stars

Age
11 to 16
Challenge level
filled star filled star empty star

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 - Tilings
problem

LOGO challenge - tilings

Age
11 to 16
Challenge level
filled star filled star empty star

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 of these.

LOGO Challenge - The logic of LOGO
problem

LOGO challenge - the logic of LOGO

Age
11 to 16
Challenge level
filled star filled star empty star

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 - Pentagram Pylons
problem

LOGO challenge - pentagram pylons

Age
11 to 18
Challenge level
filled star filled star filled star

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

LOGO Challenge - Sequences and Pentagrams
problem

LOGO challenge - sequences and pentagrams

Age
11 to 18
Challenge level
filled star filled star filled star

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

Friezes using Logo
problem

Friezes using Logo

Age
11 to 14
Challenge level
filled star filled star filled star

Experimenting with variables and friezes.

Trees and friezes
problem

Trees and friezes

Age
11 to 14
Challenge level
filled star filled star filled star
This problem is based on the idea of building patterns using transformations.
LOGO Challenge - Following on
problem

LOGO challenge - following on

Age
11 to 18
Challenge level
filled star filled star filled star

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 - Recollection
problem

LOGO challenge - recollection

Age
11 to 18
Challenge level
filled star filled star filled star

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? And the second?...

LOGO Challenge - Blob
problem

LOGO challenge - blob

Age
14 to 18
Challenge level
filled star filled star empty star

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

The Olympic \LOGO
problem

The Olympic LOGO

Age
16 to 18
Challenge level
filled star empty star empty star

Can you use LOGO to draw a logo?

Spirostars
problem

Spirostars

Age
16 to 18
Challenge level
filled star filled star empty star
A spiropath is a sequence of connected line segments end to end taking different directions. The same spiropath is iterated. When does it cycle and when does it go on indefinitely?
Spiroflowers
problem

Spiroflowers

Age
16 to 18
Challenge level
filled star filled star filled star
Analyse these repeating patterns. Decide on the conditions for a periodic pattern to occur and when the pattern extends to infinity.