eBooks available as Ravelry Downloads

eBook : 12 patterns

Available as an eBook from the Woolly Thoughts Ravelry Shop. The individual patterns are also available from my Ravelry store.

eBook : 6 patterns

Available as an eBook through Woolly Thoughts Ravelry Shop.

eBook : 12 patterns

Available as an eBook from the Woolly Thoughts Ravelry Shop.

eBook : 4 patterns

One PDF containing:

eBook : 4 patterns

Available as an eBook through Woolly Thoughts Ravelry Shop.

eBook : 5 patterns

A collection of shawls and scarves with a mathematical flavour.

eBook : 1 pattern

Available from Woolly Thoughts Ravelry shop

Patterns available as Ravelry Downloads

Knitting: Throw
This afghan was inspired by a shape of constant width, which is a mathematical curiosity with a lot of practical uses.
Crochet: Fingerless Gloves
Anyone who has ever met me will know that I have to wear gloves every day of the year. The gloves I wear most often are fingerless crochet gloves (or mittens, wristwarmers or whatever else you want to call them). They are simple, practical and quick to make though they can easily be embellished to make them more fancy.
Knitting: Blocks
These two cubes form a perpetual calendar. You can turn them around until you find the date you want. The numbers you need nicely fill all the faces on two cubes - which you might find a little surprising if you have never thought of it before.
Knitting: Ball, Blocks
About eighteen months ago I was given a set of Grime Dice and it has taken me that long to have the idea to make a knitted set.
Knitting: Scarf, Wall Hanging
This scarf was designed to help promote awareness of the Organ Donor Register. It says GIVE THE GIFT OF LIFE on one side and REGISTER AS AN ORGAN DONOR on the other.
Knitting: Hats - Other
Conjoined Möbius (aka Klein Bottle) Hat
Knitting: Throw
Double Vision has always been one of our most popular designs so we thought the time had come to combine it with our love of illusion kniting (also known as shadow knitting) to create Double Vision Squared. It can be used as an afghan or wall-hanging.
Crochet: Throw, Wall Hanging
Knit or crochet afghan or wall-hanging with variations for a cushion or baby blanket.
Knitting: Throw, Pillow, Baby Blanket
A few months ago we went to a Maths convention and were intrigued by a simple proof that showed how the area of a dodecagon could be doubled to create a larger dodecagon.
Knitting: Cardigan, Pullover
Baby sweaters don’t get simpler than this. If you can do the knit stitch you can make a sweater any size you want without having to follow conventional pattern instructions. The instructions include step-by-step illustrations for everything you need to know. It is also a good pattern for experienced knitters as it gives you the flexibility...
Knitting: Throw, Wall Hanging
Mitred squares
Crochet: Throw, Blanket - Other
Square Deal Redux is an arrangement of 21 different size squares to make a large square.
Knitting: Throw
Use up all your oddments and make a feature of the knots … or make a smart plain version with new yarn.
Knitting: Throw, Bedspread, Baby Blanket
An optical illusion using illusion knit techniques.
Knitting: Throw, Bedspread, Pillow, Baby Blanket
Curve of Pursuit has been our most popular design for many years. Now we have In Pursuit of an Illusion which is a shadow knit version based on the same mathematical concept as the original.
Crochet: Throw
A mixture of knitting and crochet.
Knitting: Shawl / Wrap, Throw
This anamorphic design can be used as a shawl or afghan.
Knitting: Throw
This is an anamorphic representation of our Long and Winding Road afghan.
Crochet: Throw, Wall Hanging
Knit or crochet.
Knitting: Throw
Do you see holes between two twisting ribbons? What colour are the holes? Or are there three ribbons?
Knitting: Mittens
By popular request, I have added this booklet as a Ravelry download. It was written over ten years ago and has now been updated (January 2010) to take into account the fashion for fingerless mittens.
Knitting: Throw
Despite what your eyes may tell you, there are no curves here.
Crochet: Headband
Accessories with a twist - or several twists!
Knitting: Toy Game
Large-scale tactile dominoes for young children (and older people too).
Knitting: Toys and Hobbies, Toy Game
Pentominoes are shapes that can be made with five squares. There are 12 different pentominoes. You can see an arrangement of Pentominoes, and their reflections, in our Bunch of Fives afghan, which has often been used as a teaching aid.
Knitting: Toys and Hobbies, Toy Game
The Diabolical Cube isn’t really at all diabolical. It is easy to make the pieces and the puzzle is easy to solve.
Knitting: Toy Game, Blocks
Knit a set of Napier’s Bones (also known as Napier’s Rods) as a fun way to learn multiplication. Children love them. The knitted bones are far more tactile than the wooden versions you might find elsewhere. They have a thin foam filling to make them flexible and almost indestructible. You can stiffen them with card or plastic strip, ...
Knitting: Toy Game
The Tower of Hanoi is a mathematical game or puzzle, which can also be used as a simple stacking toy for a young child. The pattern includes knit and crochet versions.
Knitting: Toys and Hobbies, Toy Game
You will have seen wooden versions of this toy before. We call it Octopush (and sometimes Octocube ). It is made up from eight cubes joined in a special way so that you can fold and unfold the large cube continuously to reveal several different faces.
Knitting: Toy Game
The Tangram is a very old puzzle which originated in China. The seven individual pieces are known as tans. They are traditionally coloured black. The aim of the puzzle is to assemble the pieces into various shapes such as people, animals and geometric figures.
Knitting: Throw, Wall Hanging
An optical illusion afghan or wall-hanging.
Knitting: Pillow
To accompany our impossible triangle afghan we have an impossible square represented on a cushion. It is the square that is impossible, not the cushion!
Knitting: Throw
Rule of Three is a representation of the Penrose Triangle (which is sometimes referred to as a Tribar). Although it was first created by the Swedish artist Oscar Reutersvärd in 1934, Sir Roger Penrose and his father, Lionel, independently devised this and other impossible figures in the 1950s. Their discoveries are known to many as the underlyin...
Knitting: Toys and Hobbies, Toy Game
The Soma Cube was invented by Piet Hein in 1936 while he was listening to a lecture on quantum mechanics!
Knitting: Hats - Other
There are six hats in the HyperHat Collection. The patterns are available individually or as a collection.
Crochet: Brimmed Hat
A crochet hat with hyperbolic frills.
Knitting: Beanie, Toque
A knitted hat with hyperbolic frills.
Knitting: Beanie, Toque
A knitted hat with hyperbolic frills.
Knitting: Beanie, Toque
A knitted hat with hyperbolic frills.
Crochet: Beanie, Toque
A crochet hat with hyperbolic frills.
Crochet: Beanie, Toque
A crochet hat with spiral hyperbolic frill.
Crochet: Pillow
Ten different spirals:
Knitting: Sleeveless Top
A fun and easy top that can be made to fit anyone in any yarn.
Knitting: Throw, Wall Hanging
This afghan measures exactly one square metre. It is the size of an A0 piece of paper.
Crochet: Throw
This unusual shaped afghan is based on the Golden Mean and the Fibonacci Sequence.
Crochet: Throw
If you are the sort of person who likes popping the bubbles in bubble wrap, you will love this. The undulating surface is good to look at but you can also pop all the little points to the back, then turn the whole thing over and pop them back again.
Knitting: Throw, Wall Hanging, Toy Game
One booklet with two patterns.
Knitting: Puppet
One happy clown, one sad clown!
Knitting: Doll, Puppet, Decorative - Other
Two puppets especially for Christmas.
Knitting: Throw
A circle but not a circle! This two-colour spiral only becomes a circle when you get to the end.
Crochet: Accessories - Other
This pattern is to raise funds in two ways:
Knitting: Throw
Data Log is a log cabin design with a mathematical purpose.
Crochet: Throw, Toy Game
Challenge your mind! The rings represent the dials of a combination lock. Rotating some of the rings would create a large X-shape in one colour across the afghan.
Knitting: Throw
Maybe this should be called Evolution as it has evolved from Curve of Pursuit.
Knitting: Puppet
Two fearsome creatures from Greek myth
Knitting: Doll, Puppet
Two more puppets with mathematical fronts! They demonstrate Triangular Numbers and Square Numbers.
Knitting: Tutorial, Component (stitch, edge) - Other
The ideas behind this project can be found in more detail in the Conglomerations chapter of Second Thoughts.
Knitting: Containers, Toys and Hobbies, Doll, Decorative - Other
This serene lady has a secret.
Knitting: Containers, Decorative Ornament, Doll, Decorative - Other
The Old Bag Lady will guard your possessions and nobody will even suspect what she is doing. She has a hidden secret. She can hide your rings, earrings and necklaces in her bags and, in addition to this, you can make her with a large hidden compartment to store more of your jewelry.
Knitting: Containers, Toys and Hobbies, Doll, Decorative - Other
Here is a Pretty Lady to safeguard your jewellery.
Knitting: Doll
A doll with a dark secret.
Knitting: Containers, Toys and Hobbies, Doll, Decorative - Other
Stand this little lady by your basin and she will hold your rings, on her tray, while you wash your hands.
Knitting: Doll, Puppet
These two are really very friendly, once you get to know them.
Knitting: Puppet
Meet our mathematical friends: Mr Pythagoras and Mr Fibonacci.
Knitting: Puppet
They’re not really that terrible. In fact they’re rather cute.
Knitting: Doll, Puppet
A spellbinding couple!
Knitting: Throw, Wall Hanging, Baby Blanket
This pattern is suitable for hand or machine knitting, or crochet, using any yarn and needles. Make it any size from baby blanket to king-size bed. It can be made in two or six colours.
Knitting:
Now available as a Ravelry download. Buy using the link at the top of this page.
Knitting: Bathroom, Doll
Knitting: Bathroom, Doll
Meet Lulu - a toilet roll cover to add fun to any bathroom. Dress her in colours to suit your bathroom or make her as a mascot doll for your favourite cheerleader.
Knitting: Bathroom, Doll
Meet Roland - another of our Paper People toilet roll covers. He is dressed in pants, hoodie and beanie.
Knitting: Bathroom, Doll
Meet Toilet Trainer - another in our collection of Paper People toilet roll covers.
Knitting: Bathroom
Make this evil witch to guard your toilet roll.
Crochet: Throw, Wall Hanging
Under Orders represents a pack of ten cards being shuffled. Each card is represented by a colour. The first column shows the cards in their starting places. The second column shows the positions after one perfect shuffle so that the cards which were in the bottom half of column one alternate with those which were in the top half. The third colum...
Crochet: Scarf
This must be the easiest scarf in the world to make but the effect is quite dramatic.
Crochet: Shawl / Wrap
A three-in-one shawl/poncho/wrap.
Crochet: Throw, Wall Hanging
This is a combination of knit and crochet squares.
Crochet: Wall Hanging
It may be difficult to see that this wall-hanging is closely related to our Scaled Up afghan as one is all twists and turns, the other is all straight lines.
Crochet: Scarf, Shawl / Wrap, Throw, Rug, Wall Hanging
Here Be Dragons is available as one PDF via the Ravelry download on this page. It contains three booklets:
Knitting:
A collection of ten mathematical shawls, wraps and scarves, along with some more ideas for designing your own.
Crochet: Scarf
There are 24 different ways of placing four colours in a square - or sitting four people round a table. 12 of these can be seen by looking at one side of the scarf. The other 12, which are reflections of the first set, can be seen by turning the scarf over. Folding the scarf in half might lead you to believe that there are only 6 completely diff...
Crochet: Scarf
Each of these three scarves represents a mathematical curiosity known as a Dragon Curve.
Knitting: Shawl / Wrap
This shawl pattern includes knit and crochet versions.
Crochet: Scarf
Pentominoes are shapes made from 5 squares. There are 12 different possible shapes and they are all included in this pretty scarf.
Crochet: Throw, Wall Hanging
Point to Point is a rather strange, yet intriguing, thing.
Crochet: Accessories
Small items using surface crochet Dragon Curves.
Crochet: Throw, Wall Hanging
The photos do not do justice to this undulating surface.
Knitting: Throw, Bedspread
This is just what you need to use up all those oddments - and there is no need to worry about darning in the ends!
Knitting: Throw, Wall Hanging
This dramatic design would be very impressive hanging on your wall or for use as an afghan. I always think it looks like giant knitted cables. Others see the shapes as spirals.
Crochet: Pillow
Unless you are a mathematician, you may not be interested in the special properties of Double Shuffle.
Knitting: Pillow
Faultless does not mean this cushion is without errors. This is more like the kind of fault in the earth’s crust.
Knitting: Pillow
Named after Leonardo Fibonacci (Leonardo of Pisa) who lived around 800 years ago, this sequence is closely related to the Golden Section, which is much used by artists and architects. This pattern of numbers has been found to occur frequently in nature Each term is found by adding together the two previous terms.
Knitting: Pillow
All the different quadrilaterals on one cushion!
Crochet: Pillow
Quadrille has an openwork grid with a pattern applied in surface crochet.
Knitting: Pillow
Square Deal represents the smallest number of different squares which can be fitted together to make a larger square.
Knitting: Pillow
How many squares are here? You make sixteen squares but probably se link at thee only five (plus a few triangles).
Knitting: Pillow
Do you remember those Stereogram books from a few years ago? This is the cushion version.
Knitting: Pillow
A tangram is a traditional Chinese puzzle. The pieces should be cut apart (Not recommended for your cushion!) and used to construct a multitude of patterns and figures.
Knitting: Pillow
Haven’t you always wanted to prove Pythagoras’ Theorem with a cushion? Now you can.
Knitting: Pillow
Thirty-six squares - one in the first colour, two in the second, three in the third, etc. Adding these numbers together gives the sequence of Triangular Numbers. When you get to 8 the whole shape forms a 6 x 6 square - a Square Number and a Triangular Number coincide.
Crochet: Pillow
Mathematically, this is an Archimedean Spiral. That means it moves out from the centre by the same distance on each rotation.
Knitting: Pillow
Wreck Tangled has 7 rectangles; 3 on one side; 3 on the other; 1 that spreads on both sides. Each rectangle has the same area. In knitting terms, that means they all have the same number of stitches.
Knitting: Pillow
12 Pillows of Wisdom is now available as a Ravelry download. Buy using the link at the top of this page.
Crochet: Throw, Wall Hanging, Toy Game
Starting at brick number one, and always moving forwards, how many different paths can you take to reach the brick at the bottom?
Knitting: Throw, Wall Hanging
Believe it or not, this afghan started its life as a worksheet for pupils in a mathematics classroom. Some pupils were having difficulty identifying the properties of four-sided shapes so we devised a colouring-in sheet for them. Every shape in the patchwork has four sides.
Crochet: Throw, Wall Hanging
How often have you folded a strip of paper in half, in half again and so on until you can’t fold it any more? Did you know you were half way to the magical world of Dragon Curves? Unfold the paper, make all the folds right angles, and you get a lovely twisting shape. With the piece of paper you can only make about 6 folds but, mathematical...
Knitting: Throw, Wall Hanging
Every time you look at this optical illusion afghan you will see something different!
Knitting: Pillow, Afghan block
There are no curves here. The spirals you see are made entirely from straight lines. You can make Best of Both Whirls from 1 large module or 4 small ones. Either way will give you exactly the same size so the back and front could be different.
Knitting: Pillow
Many people feel daunted by the thought of knitting something the size of an afghan so we adapted some of our designs to become cushions.
Knitting: Pillow
For those who love our Double Vision afghan but can’t face knitting 100 squares, here we have the cushion version.
Crochet: Pillow
This cushion cover is based on a maze built by Sir Gilbert Scott in Ely Cathedral. It was specially designed for the cathedral and was considered to be different from ‘traditional’ mazes.
Knitting: Pillow
How many different ways can you arrange 4 colours? Have It All Ways gives you the answer. Each block has a different permutation - and there are more on the back.
Crochet: Pillow, Toys and Hobbies, Toy Game
January 2013 - Knitted version added
Knitting: Pillow
This octagonal cushion is part of a Penrose tiling. This small section of the design does not demonstrate the unique properties of these tilings, which are non-repeating patterns.
Knitting: Pillow
Roundabouts is a square made from four triangles. So why do we say ‘follow the path round and round’?
Crochet: Pillow
The curve on this cushion cover is known as a ‘Hilbert Open Peano Curve’. Theoretically, curves of this type can be made to completely cover a surface.
Knitting: Pillow
For those who don’t want a big project, this is the cushion version of From Square To Eternity.
Knitting: Pillow
For those who can’t face knitting something the size of an afghan, we have a large collection of cushion patterns.
Knitting: Pillow
Curve of Pursuit’s baby brother!
Knitting: Pillow
Cushy Numbers is available as a Ravelry download. Buy using the link at the top of this page.
Knitting: Throw, Pillow, Wall Hanging
Maisie’s Mazes is now available as a Ravelry download. Buy using the link at the top of this page.
Knitting: Throw, Wall Hanging
Make this mind-boggling afghan from our booklet of instructions.
Knitting: Throw, Bedspread, Baby Blanket
This PDF was originally intended for UK schools but the methods are equally useful to any knitters wanting to work together on a project. It was originally produced in booklet form and has been used in many countries around the world. It was written with children in mind and has proved to be equally acceptable to adults.
Crochet: Throw, Wall Hanging, Toy Game
This afghan, or wall-hanging is a representation of a Roman labyrinth discovered in Wales (UK).
Knitting: Throw
You might call this Pythagoras Gone Mad. It is a fractal representation of Pythagoras Theorem and was inspired by the work of a young teacher who gave his pupils a diagram of the centre of this design and asked them to complete it. They soon realised it was impossible to complete as they had to add ever smaller pieces and, if they had the physic...
Knitting: Cardigan
The instructions for making the jacket should be considered a guide to recreating the design. They are not as definitive as a conventional pattern.
Knitting: Throw, Wall Hanging
A square in a square in a square …… Keep going and make it as big as you want.
Knitting: Throw, Toy Game
An afghan that can also be used as a floor game! Make this for your favourite backgammon player.
Knitting: Throw, Bedspread
Checkmate is another of our Afghan Games. Use it as an afghan or put it on the floor and play the game. You don’t have to make it in these vivid colours!
Knitting: Throw, Bedspread, Wall Hanging, Toy Game, Baby Blanket
Afghan Games is available as a Ravelry download. Buy using the link at the top of this page.
Crochet: Throw, Toy Game
In UK we call this game Draughts. You may know it by other names.
Crochet: Throw, Toy Game
In UK we call this game Ludo. It has alternative names in other countries.
Crochet: Throw, Toy Game
In UK we call this game Noughts and Crosses but it is known all over the world.
Knitting: Throw, Toy Game
We made two versions of this afghan/floor game. The first was knitted entirely from oddments of yarn and cost absolutely nothing to make. The bits of yarn were, individually, rather dull and uninteresting but together they create a very harmonious effect. The second was made on a knitting machine with a garter carriage, using a single colour as ...
Crochet: Throw, Wall Hanging
You might see this as just an interesting design. It is also a crochet representation of square numbers and triangular numbers.
Crochet: Throw
This is a booklet of instructions for making the two afghans that can be seen in the photos. It is not a conventional pattern. If you can make granny squares you can make this.
Knitting: Throw, Wall Hanging
Can anyone resist following the path of a maze?
Knitting: Throw
Basketweave is made up from small squares and rectangles. The placement of the pieces gives the impression of strips weaving under and over each other.
Knitting: Throw, Wall Hanging
Double Vision is a stunning afghan. It appears to have 55 different shades though it only uses 10 ordinary, easily available colours.
Knitting: Cardigan, Pullover, Coat / Jacket, Sweater - Other
Second Thoughts is now available as a Ravelry download. Buy using the link at the top of this page. You can also buy as a softback book from Lulu.com
Knitting: Throw, Wall Hanging
An afghan or wall-hanging based on the Fibonacci Sequence.
Knitting: Throw
Just a simple octagon? Or is it? How many other shapes can you find?
Knitting: Throw, Wall Hanging
Half Measures was the result of a workshop at a Mathematics Conference in 1998. The delegates were challenged to design a series of eight squares to fit particular criteria.
Crochet: Throw, Wall Hanging
This is a very light and airy afghan, which could also be used as a hanging or doubled over and used as a shawl.
Crochet: Throw, Wall Hanging
This is a very light and airy afghan, which could also be used as a hanging or doubled over and used as a shawl.
Knitting: Throw, Wall Hanging
Have you ever wondered how many different ways you could combine five colours?
Knitting: Throw
In recent years, The Long and Winding Road has become a very popular pattern. Maybe this is because it has some resemblance to ‘log cabin’ although the method is completely different.
Knitting: Throw, Wall Hanging, Afghan block
This has always been one of our most popular designs. In addition to it being a stunning way to decorate your room, as a wall-hanging or afghan, it is ideal for using up all the oddments of yarn you have accumulated.
Knitting: Throw, Wall Hanging
I guess this is only of interest to Mathematicians. Who else would care about its peculiarities?
Knitting: Throw, Wall Hanging, Afghan block
Do you see purple on orange? Or orange on purple?
Knitting: Throw, Wall Hanging
Twelve pentominoes and their reflections.
Knitting: Throw, Wall Hanging, Toy Game
The finished item can be used as a wall-hanging or afghan. We use ours for education purposes. It is a ‘100 square’. The squares across the top row represent the numbers 1 -10, the second row 11 - 20, and so on. The colours show which numbers, from 1 - 10, divide into the numbers represented by the squares. Each colour shows a differ...
Knitting: Throw, Wall Hanging, Afghan block
A very effective, easy-to-make, optical illusion.
Knitting: Throw, Wall Hanging
The easy-to-follow instructions allow you to make an afghan or wall-hanging in any yarn of your choice, to any size. It may look complicated but, if you can knit garter stitch, you can make this.
Knitting: Throw, Wall Hanging
You might want to make this afghan just because it is bold and colourful. You might want to make it, for a child, as a teaching aid.
Knitting: Throw, Wall Hanging
This is one of our earliest afghans - and still one of my favourites. I particularly like it because, apart from the very smallest squares in the centres, the number of stitches is always decreasing and so it seems to go very quickly.
Knitting: Throw, Wall Hanging
Have you ever wondered how many different ways can you arrange four colours?
Knitting: Throw
Which way are the columns pointing?
Knitting: Throw
This afghan is based on a design sent to us by the famous Oxford mathematican Sir Roger Penrose. It is named in his honour.
Knitting: Throw
Do you see stars or octagons? You might think that is a pointless question so try asking a few other people. You may be surprised by their answers.
Knitting: Throw, Wall Hanging
Pythagoras Tree represents Pythagoras Theorem: ‘The square on the hypotenuse is equal to the sum of the squares on the other two sides.’ In this case, the ‘squares on the other two sides’ are equal so, in knitting terms, that means that each small square has exactly half as many stitches to knit as the large square on the...
Knitting: Throw, Wall Hanging
This is one of our earliest designs but still very popular.
Knitting: Throw, Wall Hanging
This afghan or wall-hanging can be knitted using any yarn and needles. The yarn chosen will change the finished size but it can be made in a large range of sizes, whatever yarn you choose. You can even make it very small, as a cushion or pillow.
Knitting: Throw
Swirl Without End is a good design for using up left over odds and ends in four colour groups. The original was made with two strands of DK; when one strand ran out another was added so the colours blend and there are no obvious stripes.
Knitting: Throw, Wall Hanging
One of my students said she felt she was in New York, looking down on tall buildings - hence the name Tower Blocks.
Knitting: Throw, Wall Hanging
I see this as rows of ten windows in ten coloured columns. Others see it differently.