©Pat Ashforth & Steve Plummer 2019
COUNTING PANES
Click for larger pictures
Printed Counting Panes are an adaptation of our highly acclaimed knitted Counting Pane. The original knitted version, which was made in 1996, was bought by the Mathematics Collection of the Science Museum (London). We have since made two more knitted Counting Panes which have frequently been exhibited throughout UK and featured in Educational, Craft, and Science magazines and web sites.
A knitted Counting Pane takes over 100 hours to make so we now sell a booklet of instructions for anyone wanting to make their own .... and hand

What does Counting Pane show? Counting Pane shows all multiplication tables up to 10 

What is Counting Pane for? It helps children see patterns in numbers and understand multiplication tables, in an informal situation. For adults, it is an original art work with a mathematical message. 

Why are there 100 squares in the grid? The squares represent the numbers 1 to 100. The squares across the top row represent 1 to 10, those on the second row 11 to 20, and so on. 

How does it work? Symbols stand for the different multiplication tables. For example, in the yellow Counting Pane (above):

How is this described mathematically? The numbers that appear in a multiplication table are called multiples. A number that will divide exactly into another number is called a divisor or factor. For example:


Why are some squares empty? The empty squares are prime numbers. A prime number is a number that will only divide by itself and 1. Special notes:

The Mathematics

How are the prints made? The prints are made individually by hand. Every symbol is applied separately. 

What are they made from? Fabrics vary but all are heavy weight so that they can be hung without framing. 

How do I hang my print? Each print has a channel at the top for a pole to be inserted. Poles have been left exposed in the large photos, merely to show their position. You could use:

What size is the print? The printed area is approximately 94 cm square. The overall size is approximately 100 cm square. 


Can the print be framed? Most people prefer the print unframed, because of its size but, as the edges are neatly finished before the hem is machine stitched, it would be very easy to undo the stitching and frame the print. It could also be stretched over a simple frame and stapled in place on the back. 

Why are there different symbols on different prints? It is important that there are ten easily distinguishable symbols. Any set of symbols can be applied to any background. 

What colours can I have? Again, it is very important that the symbols are easy to identify. Backgrounds and printed colours have to work together to make this possible. Contact us if you have any particular requirements. 

Can I buy the actual print I see in the photo? We do not currently have any prints for sale. 
The Prints
Curve of Pursuit 
Magician's Chain 
Klein Bottle 
Square To Eternity 
Applique 
Block Prints 
Counting Panes 
Enscriptions 
Screen Prints 
Circular Prints 
Colour effects 
Halves 
Illusions 
Irrationals 
Pentominoes 
Weaving Patterns 
Castor & Pollux 
Earpiece 
Flamingo 
Golden Earring 
Penrose 
Wild Oats 
Crossover Halves 
Points of Sail 
Set Sail 
Steeplechase Halves 
Boxed In 
Hexentricity 
Holes and Corners 
Rose Windows 
Runabout 
The Other Man's Grass 
Tripartite 
Window Pains 
Irrational Boxes 
Irrational Flowers 
Irrational Folds 
Irrational Roofs 
Bunch of Fives 
Moons and Nooms 
Pentamoons 
Fleece Basketry 
Leather Basketry 
Tickled Pink 
Willow the Wisp 
Enscription 1A 
Enscription 1C 
Enscription 1D 
Enscription 1E 
Enscription 2A 
Cracking Codes 
Crosswise 
Interference 
Ring Binders 
Stitchwork 
Topspin 
To the Point 
Web of Intrigue 
Wheels Within Wheels 
Whirlpools 
Window Boxes 
Makeables 
Mirror Pillar 
Penrose Table 
Bracelets 