Woolly Thoughts

eBooks available as Ravelry Downloads

eBook : 12 patterns

Twelve more mathematical designs for cushions. Nine are knitted and three are crochet. Many are smaller versions of Woolly Thoughts afghans.

eBook : 6 patterns

Six afghan-size traditional board games. Patterns are also available individually.

eBook : 12 patterns

Twelve mathematical designs for cushions. Ten are knitted and two are crochet. Many are smaller versions of Woolly Thoughts afghans.

eBook : 4 patterns

Illusion designs for the four floral emblems of UK.

eBook : 4 patterns

Four ‘cushions’ that can all be twisted and turned in some way. They are called cushions but they are really meant to be decorative, or for their novelty interest. It is perfectly safe to sit, or lean, on them but they will not be particularly comfortable.

eBook : 3 patterns

Here Be Dragons is available as one PDF via the Ravelry download on this page. It contains three booklets:

eBook : 6 patterns

Three knit and three crochet hyperbolic hat designs.

eBook : 4 patterns

Four illusion knit patterns.

eBook : 4 patterns

Four afghan mazes and a cushion. Patterns are also available individually.

eBook : 11 patterns

A collection of ten shawls and scarves with a mathematical flavour.

eBook : 4 patterns

Four simple crochet scarves.

eBook : 7 patterns

Seven little people to guard your toilet roll.

eBook : 11 patterns

Eleven knit and crochet toilet roll covers based on mathematical concepts. The ebook also has a section that will help you to design your own covers.

eBook : 1 pattern

The sequel to Woolly Thoughts. Includes a variation of the instructions for Cushion Conglomeration Caper.

eBook : 3 patterns

The ebook contains the three linked patterns but also includes a great deal of information about knitting circles. It explains how to knit a perfect circle using your own yarn needles and stitch pattern. It is intended to help you create your own circular designs.

eBook : 5 patterns

Not just Barbie

eBook : 3 patterns

Three witches: an illusion, a glove puppet and a toilet roll cover.

Patterns available as Ravelry Downloads

Knitting: Throw
I decided it was time someone other than babies got a small illusion blanket.
Knitting: Cowl
Knitting: Baby Blanket
Knitting: Wall Hanging
I rarely create illusion designs that other people ask for but someone asked for help designing this traditional Om symbol. Because it was small, and she caught me at a time when I wasn’t designing anything else, I decided to do it myself.
Knitting: Pillow / Cushion
The cushion in the photos shows two different emojis. It has a winking face on one side and a sleeping face on the other.
Knitting: Throw
In most illusion knitting you only see stripes from directly in front and the image appears when you look from the side.
Knitting: Wall Hanging
This illusion portrait of Freddie Mercury is a small section of Is this just fantasy? Make this small piece as a cushion, or wall-hanging, if the larger piece is too big for you.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
This is a companion piece to Delusion Rainbow.
Knitting: Wall Hanging
Everything looks grey and then a rainbow appears.
Crochet: Toys and Hobbies - Other
You probably made spinners from coloured cardboard when you were a child. These are much more substantial and can be made in very bright colours.
Knitting: Pillow / Cushion
Fans of The Hitchhiker’s Guide to the Galaxy will recognise this message from the front of ‘The Book’.
Knitting: Pillow / Cushion
As all fans of The Hitchhiker’s Guide to the Galaxy will know, 42 is The Answer to the Ultimate Question of Life, the Universe, and Everything. March 8th 2020 is the 42nd anniversary of the first broadcast.
Knitting: Tutorial
We have often been asked whether our instructions work for left-handed knitters. The answer is not straightforward as not everyone works the same way. This small sample will let you see whether you are doing it right and offers solutions if you are not. You will soon be able to see if the letters are the right way round.
Knitting: Baby Blanket
or buy at Payhip or LoveCrafts.
Crochet: Fashion Doll (Barbie, etc)
The pattern includes instructions for more than a dozen different spiral dresses but it is much more than that. You could think of it as a tutorial for knitting and crocheting spirals. The techniques can be used for adult and children’s garments, hats, etc. It is a starting point to design your own.
Crochet: Fashion Doll (Barbie, etc)
This is another pattern in the Sum Wear collection. They are all based on mathematical ideas but don’t let that put you off. They are all very easy and you don’t need to do any calculations or anything like that.
Knitting: Baby Blanket
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
It will probably take you a very long time to work out the special property of this 4-coloured 17 x 17 square. If you want to know click below.
Knitting: Fashion Doll (Barbie, etc)
How do you make a jacket from a square without cutting off any pieces? This pattern will show you how. You are allowed to make cuts into the shape, and join it back together but not take anything off.
Knitting: Fashion Doll (Barbie, etc)
Three Barbie dresses, and a circular shawl, in the colours of the rainbow. The dresses have alternative tops in garter or stocking stitch.
Knitting: Fashion Doll (Barbie, etc)
This is the first in a series of knit and crochet patterns for Barbie (and other fashion dolls) under the title Sum Wear. All of these patterns are based on simple mathematics.
Knitting: Fashion Doll (Barbie, etc)
Dress, shawl, hat, and boots for Barbie.
Knitting: Shawl / Wrap
The design on this shawl will only be of interest to the ladies of Amersham A Cappella, as it was created especially for them. However, the striped fringe is not something I usually add to my shawls so that feature might be useful to others.
Knitting: Baby Blanket
or buy at Payhip or LoveCrafts.
Knitting: Baby Blanket
or buy at Payhip or LoveCrafts.
Knitting: Baby Blanket
or buy at Payhip or LoveCrafts.
Knitting: Slippers
I suddenly realised that all feet have very similar proportions, regardless of size. That led to this pattern for simple slippers. You only need to know the (approximate) size of a person’s foot and you can make slippers in any yarn, using any needles, without making a tension square.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Hanging Ornament
You can hang these baubles on your tree or just use them to hide a small gift. They are quick and easy to make from three small strips of knitting. The gift can be removed without damaging the bauble.
Knitting: Component (stitch, edge) - Other
I got addicted to knitting semicircles and then decided to go a little further and make these modular circles. The photos show circles in three sizes. The pattern has instructions for five.
Knitting: Toys and Hobbies - Other
You could use this pattern to knit a straightforward garter stitch semi-circle, or join two of them together to make a circle.
Knitting: Toys and Hobbies - Other
Our previous anamorphic pattern was a rainbow reflected in a mirror to give a rectangle with horizontal stripes. This one is what you need to knit if you want to see vertical stripes in the mirror.
Knitting: Beanie, Toque
If you like unconventional constructions, this is the hat pattern for you. It gives one simple method to get you started on the way to making any of the hats shown - and many more of your own design.
Knitting: Toys and Hobbies - Other
An anamorphic image is one that appears normal only when seen from some particular perspective or when viewed through something such as a mirror.
Crochet: Toys and Hobbies - Other
These squiggly things have no practical use but they are very tactile objects. They are fun to make and even more fun to play with. They can be twisted and turned and it is very difficult to put them down once you pick them up.
Knitting: Pillow / Cushion, Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Blocks
At Christmas I was playing with a complicated paper construction I came across online. There was no chance of knitting it because it would simply have tried to deform to be a sphere. It is in the nature of knitting, and crochet, that all regular 3D shapes try to form themselves into spheres.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
The banner shown in the photos is about 110 cm (44”) long and 15 cm (6”) wide. You can easily add extra to each end if you would like it to be scarf length. It was made using DK yarns but the illusion will work using any thickness of yarn.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Crochet: Beanie, Toque
Crochet beanie with knitted edging.
Knitting: Wall Hanging
When you look straight at the knitting you only see stripes; when you look from an angle you can see that it says LIBERTY.
Knitting: Afghan block
Two small illusion hearts - one to be viewed from the bottom, the other from the side.
Knitting: Shawl / Wrap
In recent years there has been a trend towards asymmetric shawls where you start knitting at a point and keep increasing until you get to the size you want.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
If you like unconventional construction this could be the blanket for you. If you don’t like picking up stitches then you should stop reading now.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Crochet: Throw
This design is based on a page from a mathematical colouring book Snowflake, Seashell, Star : Colouring Adventures in Numberland by Alex Bellos and Edmund Harriss. It represents three superimposed Sudoku solutions where numbers have been replaced by colours.
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Pillow / Cushion
When you look directly at this cushion you see only narrow stripes; when you look from an angle you see the heart and lettering.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
A Menger Sponge is a 3D fractal. Theoretically it has an infinite surface and zero volume.
Knitting: Wall Hanging
Home is where the heart is hidden in the illusion.
Knitting: Wall Hanging
Two simple heart designs for a 25th wedding anniversary, which can be hung on the wall or used for small cushions.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
or buy at LoveCrafts
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
Triskelion Gamma is one of three illusion triskelions. When you look straight at the knitting you see only narrow stripes. The image is revealed when you look from the side. You could use these symbols individually as wall-hangings or cushions, or you could use them as squares to make an afghan.
Knitting: Wall Hanging
Triskelion Beta is one of three illusion triskelions. When you look straight at the knitting you see only narrow stripes. The image is revealed when you look from the side. You could use these symbols individually as wall-hangings or cushions, or you could use them as squares to make an afghan.
Knitting: Wall Hanging
Triskelion Alpha is one of three illusion triskelions. When you look straight at the knitting you see only narrow stripes. The image is revealed when you look from the side. You could use these symbols individually as wall-hangings or cushions, or you could use them as squares to make an afghan.
Knitting: Wall Hanging
Ringed Trefoil is one of four illusion ‘knots’. When you look at it from directly in front you see only stripes. You see the knot when you look from the side.
Knitting: Wall Hanging
Trefoil Knot is one of four illusion ‘knots’. When you look at it from directly in front you see only stripes. You see the knot when you look from the side.
Knitting: Wall Hanging
This Knot is one of four illusion ‘knots’. When you look at it from directly in front you see only stripes. You see the knot when you look from the side.
Knitting: Wall Hanging
What Knot is one of four illusion ‘knots’. When you look at it from directly in front you see only stripes. You see the knot when you look from the side.
Knitting: Wall Hanging
Yin and Yang (sometimes known as Yin-Yang) is a very well-known symbol. It has many interpretations and is used to represent several different types of ‘opposites’, such as light and dark or male and female.
Knitting: Wall Hanging
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Knitting: Wall Hanging
This is the head from my Lady with an Ermine. It is about 35 cm (14”) square so could be used for a small pillow.
Knitting: Bathroom
A regal addition to your bathroom. This little lady is queen of the toilet roll.
Knitting: Bathroom
It is reported that Albert Einstein once said
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Crochet: Animal Toy
This is the simplest crochet duck pattern ever. It doesn’t have the refinements of some other ducks you might find but it is quick, easy, and suitable for beginners.
Crochet: Puppet
This pattern has been created as part of The Little Yellow Duck Project, which aims to raise awareness of the need for blood, stem cell, organ, and tissue donors.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Throw
This afghan was inspired by a shape of constant width, which is a mathematical curiosity with a lot of practical uses.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
Wall-hanging
Knitting: Wall Hanging
I designed this small square with the MG logo for some friends who collect classic MG cars. It is 50 stitches wide and comes out at about 25 cm (10”) square when made in DK yarn. Any yarn can be used but this could change the overall size.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
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: Wall Hanging
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
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: Toys and Hobbies - Other
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: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Scarf
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: Wall Hanging
or buy at LoveCrafts
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Shawl / Wrap
or buy at Payhip or LoveCrafts
Knitting: Hats - Other
Conjoined Möbius (aka Klein Bottle) Hat
Knitting: Shawl / Wrap
or buy at Payhip or LoveCrafts
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 knitting (also known as shadow knitting) to create Double Vision Squared. It can be used as an afghan or wall-hanging.
Knitting: Wall Hanging
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
Knitting: Wall Hanging
or buy the pattern at Payhip or LoveCrafts
Crochet: Throw
Knit or crochet afghan or wall-hanging with variations for a cushion or baby blanket.
Knitting: Wall Hanging
The Heraldic Lion Illusion knit is now available alone and as part of our Royal Standard of Scotland Illusion knit wall hanging pattern. It is approximately 16” (40cm) square and could be used individually or sewn together with other of our similar sized illusion knit designs to create items such as cushion covers, wall hangings or bed covers.
Knitting: Wall Hanging
Knitting: Throw
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: Wall Hanging
Knitting: Cardigan
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 to b...
Knitting: Shawl / Wrap
or buy at Payhip or LoveCrafts
Knitting: Pillow / Cushion
The American Football Helmet Illusion Knit is the latest addition to the sport related series of illusion knits that, so far, includes a soccer ball, an American football and a volleyball. All of the pieces in this series are the same size as each other, approximately 16” (40cm) square, so can be used individually or sewn together with other of...
Knitting: Wall Hanging
Knitting: Wall Hanging
The Volleyball Illusion Knit is the latest addition to the sport related series of illusion knits that, so far, includes a soccer ball and an American football. All of the pieces in this series are the same size as each other, approximately 16” (40cm) square, so can be used individually or sewn together with other of the designs to create items...
Knitting: Wall Hanging
Knitting: Shawl / Wrap
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Baby Blanket
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
This American Football illusion knit is the second in an intended series of sport related illusion knit panels, the first being the Soccer Ball illusion knit. Like the soccer ball it is approximately 16” (40cm) and uses 140metres in each of two contrasting colours when knitted using 3mm needles.
Knitting: Baby Blanket
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Pillow / Cushion
The Fleur-de-Lis illusion knit design measures approximately 16 inches (40cm) square when using DK yarn and 3mm needles. It is designed to be viewed from the side so is ideal for use as an emblem on a garment, as a front/back for a cushion or as the centre piece for a wall hanging or bed cover.
Knitting: Shawl / Wrap, Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Pillow / Cushion
This Shamrock Illusion is one of four national emblem cushions I originally designed for the Woolsack project as part of the Cultural Olympiad for London2012. The others are:
Knitting: Pillow / Cushion
This Daffodil Illusion is one of four national emblem cushions I originally designed for the Woolsack project as part of the Cultural Olympiad for London2012. The others are:
Knitting: Pillow / Cushion
This Thistle Illusion is one of four national emblem cushions I originally designed for the Woolsack project as part of the Cultural Olympiad for London2012. The others are:
Knitting: Pillow / Cushion
This Rose Illusion is one of four national emblem cushions I originally designed for the Woolsack project as part of the Cultural Olympiad for London2012. The others are:
Knitting: Shawl / Wrap
or buy at Payhip or LoveCrafts
Crochet: Throw
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
Knitting: Throw
This was really designed by Pat (Woolhelmina) but we have added it to my designs to keep all our illusion designs in one place.
Knitting: Shawl / Wrap
or buy at Payhip or LoveCrafts
Knitting: Throw
I am intending to create a series of illusion designs that centre around various kinds of sport. These designs will take the form of small panels that can be used individually as cushions or as the motif on a sweater or put together to form a wall hanging, throw or bedspread.
Knitting: Chart
A lot of people have asked about lettering for illusion knitting so here are ten alphabets for you to use.
Knitting: Baby Blanket
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Throw
Use up all your oddments and make a feature of the knots … or make a smart plain version with new yarn.
Knitting: Wall Hanging
Knitting: Scarf, Beanie, Toque
Knitting: Pillow / Cushion
This cushion was really designed and made by Pat (Woolhelmina) but I have added the pattern here to keep all the illusion cushions in one place. (If you are looking for illusion afghans, they are in our Woolly Thoughts designs. Confusing, isn’t it?)
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
Knitting: Baby Blanket
or buy at Payhip or LoveCrafts.
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Baby Blanket
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
Another illusion knitting experiment. It didn’t come out exactly as we thought but is still very interesting and surprising.
Knitting: Coffee / Tea Pot
We were recently asked to make a tea cosy for a local event. At first we declined then decided it would be a good opportunity to try out another way of using illusion knitting.
Knitting: Pillow / Cushion
Two illusion cushions based on the work of M C Escher.
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Pillow / Cushion
Does illusion knitting work in circles?
Knitting: Wall Hanging
Knitting: Pillow / Cushion
An illusion - in more ways than one!
Knitting: Wall Hanging
Knitting: Pillow / Cushion
Pattern update - July 2012 - to add instructions for wall-hangings.
Knitting: Blanket
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
Crochet: Throw
A mixture of knitting and crochet.
Knitting: Baby Blanket
or buy at Payhip or LoveCrafts.
Knitting: Wall Hanging
or buy at LoveCrafts
Knitting: Throw
This anamorphic design can be used as a shawl or afghan.
Knitting: Washcloth / Dishcloth
March 2015
Knitting: Tutorial
This design looks more complicated than many of our other samples. It is no more difficult to knit. It was originally intended as a laptop cover. You could make it rectangular, like the one shown, or you could omit the sides of the chart to make it square, making it suitable for a washcloth or afghan block.
Knitting: Chart
March 2015
Knitting: Washcloth / Dishcloth
This is a very simple pattern and is one of the samples recommended as an introduction to Woolly Thoughts illusions. If you are new to illusion knitting you might like to try this before you embark on one of our bigger pieces.
Knitting: Washcloth / Dishcloth
March 2015
Knitting: Tutorial
March 2015
Knitting: Tutorial
If you want to view illusion knitting from the side, instead of from the bottom, it has to be charted differently. You cannot just turn the chart and knit sideways. The two samples in this pattern are based on the same original photo of a maple leaf and are to be viewed from different directions.
Knitting: Tutorial
This pattern combines illusion knitting with the mitred square technique.
Knitting: Washcloth / Dishcloth
This pattern combines illusion knitting with the mitred square technique.
Knitting: Washcloth / Dishcloth
This square is intended as a practice piece. Woolly Thoughts illusions are different from many others. It will help you understand how to use our charts. It has light and dark stripes, going in different directions, to show some of the effects that can be achieved just by using rows of straightforward knit and purl.
Knitting: Tutorial
The aim of this pattern is to show different effects that can be achieved by using the same two yarns.
Knitting: Washcloth / Dishcloth
This design uses the same two colours as Directional Shadows so they may look similar at first glance. When you look straight at the squares you see only narrow stripes, going in different directions. Looking from an angle reveals a smaller square inside each of the squares. Some of these squares are yellow and some are green.
Knitting: Tutorial
This design is different from our other samples because it uses a small design that can be repeated across the knitting as often as you wish.
Knitting: Washcloth / Dishcloth
This simple striped design is intended as an introduction to Woolly Thoughts illusion patterns. When you look at the square from directly in front you see only narrow ridges of alternating colours. When you look from an angle you see broad stripes of the two colours. The square could be used for an afghan block or a washcloth.
Knitting: Washcloth / Dishcloth
March 2015
Knitting: Washcloth / Dishcloth
This is intended as an introduction to Woolly Thoughts illusion patterns. It is a simple striped design, where you see two-colour stripes from directly in front but stripes in three colours when you look from an angle even though you only use two colours of yarn. The stripes change position halfway up the square but you could make them continuo...
Knitting: Washcloth / Dishcloth
You can create interesting effects in illusion knitting by making the ridges of knitting to run in different directions.
Knitting: Shawl / Wrap
or buy at Payhip or LoveCrafts
Knitting: Throw
This is an anamorphic representation of our Long and Winding Road afghan.
Crochet: Throw
Knit or crochet.
Knitting: Wall Hanging
The David Tennant Illusion Knit came about following requests from various Doctor Who fans after the actor had left the series.
Knitting: Wall Hanging
Knitting: Afghan block
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Wall Hanging
or buy at Payhip or LoveCrafts.
Knitting: Mittens, Fingerless Gloves
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
Knitting: Throw
Despite what your eyes may tell you, there are no curves here.
Knitting: Wall Hanging
Crochet: Headband
Accessories with a twist - or several twists!
Knitting: Toy Game
Large-scale tactile dominoes for young children (and older people too).
Knitting: Wall Hanging
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: Toy Game
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, if you pref...
Knitting: 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: 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
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
or buy at Payhip or LoveCrafts
Knitting: Pillow / Cushion
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
or buy at Payhip or LoveCrafts
Knitting: Toy Game
The Soma Cube was invented by Piet Hein in 1936 while he was listening to a lecture on quantum mechanics!
Knitting: Beanie, Toque
A knitted hat with hyperbolic frills.
Crochet: Beanie, Toque
A crochet hat with spiral hyperbolic frill.
Crochet: Brimmed Hat
A crochet hat with hyperbolic frills.
Knitting: Beanie, Toque
A knitted hat with hyperbolic frills.
Crochet: Beanie, Toque
A crochet hat with hyperbolic frills.
Knitting: Hats - Other
A knitted hat with hyperbolic frills.
Knitting: Hats - Other
A knitted hat with hyperbolic frills.
Crochet: Pillow / Cushion
Ten different spirals:
Knitting: Shrug / Bolero
A fun and easy top that can be made to fit anyone in any yarn.
Crochet: Throw
This unusual shaped afghan is based on the Golden Mean and the Fibonacci Sequence.
Knitting: Throw
This afghan measures exactly one square metre. It is the size of an A0 piece of paper.
Knitting: Throw
One booklet with two patterns.
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: Puppet
Two puppets especially for Christmas.
Knitting: Puppet
One happy clown, one sad clown!
Knitting: Throw
or buy at Payhip or LoveCrafts
Crochet: Money Purse
This pattern is to raise funds in two ways:
Knitting: Throw
Data Log is a log cabin design with a mathematical purpose.
Crochet: Throw
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: Tutorial
The ideas behind this project can be found in more detail in the Conglomerations chapter of Second Thoughts.
Knitting: Throw
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Knitting: Puppet
Two fearsome creatures from Greek myth
Knitting: Puppet
Two more puppets with mathematical fronts! They demonstrate Triangular Numbers and Square Numbers.
Knitting: Decorative - Other
This serene lady has a secret.
Knitting: 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: Doll
Here is a Pretty Lady to safeguard your jewellery.
Knitting: Decorative - Other
A doll with a dark secret.
Knitting: Decorative - Other
Stand this little lady by your basin and she will hold your rings, on her tray, while you wash your hands.
Knitting: 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: Puppet
A spellbinding couple!
Knitting: Throw
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Knitting: Tutorial
Now available as a Ravelry download. Buy using the link at the top of this page.
Knitting: Bathroom
Knitting: Bathroom
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
Meet Roland - another of our Paper People toilet roll covers. He is dressed in pants, hoodie and beanie.
Knitting: Bathroom
Make this evil witch to guard your toilet roll.
Knitting: Bathroom
Meet Toilet Trainer - another in our collection of Paper People toilet roll covers.
Crochet: Throw
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 colu...
Crochet: Scarf
This must be the easiest scarf in the world to make but the effect is quite dramatic. Wear it round your neck, on your head, or round your waist.
Crochet: Scarf
This is a very simple lightweight scarf. If you can make chains you can do this.
Crochet: Scarf
This is one of four patterns from Neck and Neck … and Neck and Neck. Scarf patterns don’t get any easier than these.
Crochet: Pillow / Cushion
It is perfectly possible to knit or crochet Platonic solids that keep their shape. They need to be worked very tightly or to be stiffened in some other way. When they are not stiffened, all knitted or crocheted objects try to turn themselves into spheres. This is because a sphere has the smallest surface area for any given volume.
Crochet: Scarf
This is one of four scarves from Neck and Neck … and Neck and Neck. They are all just about as easy as scarves can get.
Crochet: Shawl / Wrap
A three-in-one shawl/poncho/wrap.
Knitting: Poncho
Although the design looks complicated this poncho is simply made from sixteen squares. Twelve of them are exactly alike and the other four start in the same way but are incomplete.
Knitting: Poncho
There are hundreds of variations for this pattern. It can be made to any size, using any yarn. You can even use different weights of yarn in every square, if you wish. The photographs and diagrams will give you a few ideas to start your imagination working. The final choice is yours.
Crochet: Throw
This is a combination of knit and crochet squares.
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 dif...
Knitting: Shawl / Wrap
This triangular shawl is worked in one piece using one colour at a time. It starts with one large square and progressively smaller triangles are added, according to the rules of Pythagoras Theorem. It measures 150 cm (60”) across and 75 cm (30”) high but can easily be adjusted to other sizes.
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
Each of these three scarves represents a mathematical curiosity known as a Dragon Curve.
Crochet: Shawl / Wrap
This shawl is made from simple granny squares. It is the combination of yarns that create the subtle shading effect.
Knitting: Shawl / Wrap
This shawl is knitted in L shapes to create simple garter stitch squares. It is the combination of yarns that create the subtle shading effect.
Crochet: Shawl / Wrap
Dragon curves are complex space-filling curves with a very simple origin. Fold a strip of paper in half, fold in half again, and again. Unfold the paper and you have a dragon curve. The dragons on this crochet wrap are what you get when you fold the paper 2, 4 or 7 times. They fit together to cover the surface.
Knitting: Shawl / Wrap
This shawl is knitted in L shapes to create simple garter stitch squares. It is the combination of yarns that create the subtle shading effect.
Crochet: Scarf
The Fibonacci Sequence (or series) is a pattern of numbers which recurs frequently in Maths and Nature. It is closely related to the Golden Section. This simple crochet scarf is a representation of the numbers in the sequence.
Knitting: Shawl / Wrap
This is based on one of our favourite designs called From Square to Eternity. This is only half of that design so becomes Halfway to Paradise.
Crochet: Shawl / Wrap
This is a very simple shawl worked in exactly the same way as half a granny square. Seven bands of colour represent the first seven numbers in the Fibonacci Sequence: 1, 1, 2, 3, 5, 8, 13.
Crochet: Throw
Point to Point is a rather strange, yet intriguing, thing.
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: Accessories
Small items using surface crochet Dragon Curves.
Crochet: Scarf
This simple filet crochet scarf hides a secret message. When you hold it up to the light, or place it on a contrasting background, the message is revealed. Mine says Mufflermatics, which is the title of the book it comes from. I used the word twice, once in each direction with the ends of the words towards the centre.
Crochet: Throw
The photos do not do justice to this undulating surface.
Knitting: Throw
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
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Crochet: Pillow / Cushion
Unless you are a mathematician, you may not be interested in the special properties of Double Shuffle.
Knitting: Pillow / Cushion
Faultless does not mean this cushion is without errors. This is more like the kind of fault in the earth’s crust.
Knitting: Pillow / Cushion
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 / Cushion
All the different quadrilaterals on one cushion!
Crochet: Pillow / Cushion
Quadrille has an openwork grid with a pattern applied in surface crochet.
Knitting: Pillow / Cushion
Square Deal represents the smallest number of different squares which can be fitted together to make a larger square.
Knitting: Pillow / Cushion
How many squares are here? You make sixteen squares but probably see only five (plus a few triangles).
Knitting: Pillow / Cushion
Do you remember those Stereogram books from a few years ago? This is the cushion version.
Knitting: Pillow / Cushion
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 / Cushion
Haven’t you always wanted to prove Pythagoras’ Theorem with a cushion? Now you can.
Knitting: Pillow / Cushion
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 / Cushion
Mathematically, this is an Archimedean Spiral. That means it moves out from the centre by the same distance on each rotation.
Knitting: Pillow / Cushion
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 / Cushion
Haven’t you always wanted to prove Pythagoras’ Theorem with a cushion? Now you can.
Crochet: Throw
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
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Crochet: Throw
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, mathematically, i...
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Pillow / Cushion
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 / Cushion
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 / Cushion
For those who love our Double Vision afghan but can’t face knitting 100 squares, here we have the cushion version.
Crochet: Pillow / Cushion
This cushion cover is based on a labyrinth built by Sir Gilbert Scott in Ely Cathedral. It was specially designed for the cathedral and was considered to be different from ‘traditional’ mazes/labyrinths.
Knitting: Pillow / Cushion
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.
Knitting: Pillow / Cushion
This octagonal cushion is part of an aperiodic tiling. This small section of the design does not demonstrate the unique properties of these tilings, which are non-repeating patterns.
Knitting: Pillow / Cushion
Roundabouts is a square made from four triangles. So why do we say ‘follow the path round and round’?
Crochet: Pillow / Cushion
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 / Cushion
For those who don’t want a big project, this is the cushion version of From Square To Eternity.
Knitting: Pillow / Cushion
For those who can’t face knitting something the size of an afghan, we have a large collection of cushion patterns.
Knitting: Pillow / Cushion
Curve of Pursuit’s baby brother!
Knitting: Pillow / Cushion
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: Throw
or buy at Payhip or LoveCrafts
Knitting: Tutorial
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
This afghan, or wall-hanging is a representation of a Roman labyrinth discovered in Wales (UK).
Crochet: Pillow / Cushion
January 2013 - Knitted version added
Knitting: Throw
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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
or buy at LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Crochet: Throw
In UK we call this game Draughts. You may know it by other names.
Crochet: Throw
In UK we call this game Ludo. It has alternative names in other countries.
Crochet: Toy Game
In UK we call this game Noughts and Crosses but it is known all over the world.
Knitting: Throw
or buy at Payhip or LoveCrafts
Crochet: Throw
You might see this as just an interesting design. It is also a crochet representation of square numbers and triangular numbers.
Crochet: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
Basketweave is made from small squares and rectangles. The placement of the pieces gives the impression of strips weaving under and over each other.
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at LoveCrafts
Knitting: Throw
Just a simple octagon? Or is it? How many other shapes can you find?
Knitting: Throw
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.
Knitting: Cardigan, Pullover, Coat / Jacket
Second Thoughts is now available as a Ravelry download. Buy using the link at the top of this page.
Knitting: Cape
This circular cape was designed to go with the Simply Circles Skater Skirt. They are both delightfully swishy to wear. The cape stays in place in your shoulders and hangs down in soft folds. There is enough fabric that you can probably also throw the end over your shoulder and pin it in place. It can be fastened with buttons or some other type ...
Knitting: Beret, Tam
This hat is one element of an outfit that was originally designed, and short-listed, for the International Mohair Competition 1997. The patterns have been available, on our website, for a long time but are new to Ravelry.
Knitting: Skirt
This amazingly swirly skirt has a hidden secret that means that the same skirt can fit a variety of people of many different ages and sizes. Make it for yourself but lend it to your mother, daughter, sister, friend … and you can even wear it as a poncho.
Crochet: Throw
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
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
Have you ever wondered how many different ways you could combine five colours?
Knitting: Throw
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Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
I guess this is only of interest to Mathematicians. Who else would care about its peculiarities?
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
Which way are the columns pointing?
Knitting: Throw
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Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
It is obvious that this afgan/wall-hanging has the seven colours of the rainbow and that it has squares but it also repesents one way of generating square numbers.
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at Payhip or LoveCrafts
Knitting: Throw
or buy at LoveCrafts
Knitting: Throw
or buy at LoveCrafts
Knitting: Afghan block
This is one of a set of five patterns that we have been using for about 20 years to give people a few ideas about using simple ‘half-and-half’ squares to create original afghan designs.
Knitting: Afghan block
This is the second in a set of five patterns that we have been using for about 20 years to give people a few ideas about using simple ‘half-and-half’ squares to create original afghan designs.
Knitting: Afghan block
This is the third in a set of five patterns that we have been using for about 20 years to give people a few ideas about using simple ‘half-and-half’ squares to create original afghan designs.
Knitting: Afghan block
This is the fourth in a set of five patterns that we have been using for about 20 years to give people a few ideas about using simple ‘half-and-half’ squares to create original afghan designs.
Knitting: Afghan block
This is the last in a set of five patterns that we have been using for about 20 years to give people a few ideas about using simple ‘half-and-half’ squares to create original afghan designs.