©Woolly Thoughts 2020
MUFFLERMATICS
A collection of mathematical scarves, shawls and wraps
All of the patterns in Mufflermatics are wearable designs based on ideas previously used for afghans. They are all items to wrap yourself in, such as scarves and shawls. The patterns can be also bought individually.
All Ways Round
There are 24 ways to arrange four colours in a square. 12 can be seen by looking at one side of this scarf; the other 12, are reflections and can be seen by turning the scarf over. Folding the scarf in half might lead you to believe that there are only 6 completely different possibilities.
Related Afghan
Back to Square One
The square at the centre back of this knitted shawl has triangles on two of its sides. Each of these triangles has a smaller triangle until the last two triangles are added to complete the points. The size of each new triangle is based on Pythagoras Theorem.
Related Afghan
Corrugated Comforters
Three separate crochet scarves to show the folds made when you make dragons with 4, 5 or 6 folds. (See Dragon Curves) It can be seen from the photograph that the stripes in the first of these are also in the other two, with extra stripes in between.
Related Afghan
Double Crossed
Each square is a different mixture of two colours. Small amounts of nine yarns are used in each shawl. The nine yarns, used in every possible combination, give a total of 36 mixed squares, making 45 different shades altogether.
(Knit and crochet versions)
Related Afghan
Dragon Drape
Dragon curves are complex space-
Related Afghan
Halfway to Paradise
A series of triangles, growing out from the centre neck. The design could carry on to infinity. The sizes of the triangles are worked out using Pythagoras Theorem. The length of the long side of one triangle becomes the length of the short side of the next.
Related Afghan
Point of Order
Another use of the Fibonacci Sequence, for a crochet shawl. The stripes represent the first 8 terms of the sequence (The first term is 0 so there is no stripe). This gives a pleasing arrangement even when the colours are chosen in a fairly random manner.
Related Afghan
Quintessential
Pentominoes are shapes made from 5 squares. There are 12 possible shapes and they are all included in this pretty scarf.
It is also possible to arrange the 12 pentominoes in other rectangles which might be used for a shawl design. They are 4 x 15, 5 x 12 and 6 x 10.
Related Afghan
Fibonacci Fichu
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.
Related Afghan
Stole’n’Secret
Use simple Mathematics to calculate how much space is needed to hide a secret message in a filet crochet scarf. The letters are given in the form of a square grid.
Related Afghan
The book also includes a few pages to help you design your own geometric scarf or wrap.
Buy the patterns on the
Accessories page
of the Order Form
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