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'''Medallion knitting''' produces flat [[knitted fabric]]s that are circular or [[polygon]]s using a technique similar to the [[crochet]] of [[doily|doilies]], by progressively increasing or decreasing the radius.
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The most difficult part of flat medallion knitting is [[increase (knitting)|increasing]] or [[decrease (knitting)|decreasing]] at just the right rate. The [[circumference]] <math>c</math> of a [[circle]] is related to its [[radius]] <math>r</math> by the formula <math>c=2\pi r</math>. Therefore, the number of stitches <math>n</math> in a row at radius <math>r</math> must exactly equal that circumference times the [[gauge (knitting)|stitch gauge]], if the medallion is to lie flat. If the number of stitches is ''fewer'' than this, the medallion will cup at its edges, forming a spherical bowl; if the number of stitches ''exceeds'' this, the medallion will frill at its edges, forming ruffles.  Therefore, one should measure the radius regularly as the medallion is being knitted and determine the number of stitches that need to be [[increase (knitting)|increased]] or [[decrease (knitting)|decreased]] in each round.  Of course, these [[increase (knitting)|increases]] or [[decrease (knitting)|decreases]] should be spread evenly around the circumference.
 
''If'' the initial number of stitches were exactly correct and ''if'' every row were exactly the same height, flat medallions could be ensured by [[increase (knitting)|increasing]] or [[decrease (knitting)|decreasing]] the same number of stitches <math>\Delta n</math> in every row using the formula
 
:<math>
\Delta n = 2\pi \frac{\mathrm{stitch\  gauge}}{\mathrm{row\  gauge}}
</math>
 
''provided that'' <math>\Delta n</math> were exactly an integer. Most medallion knitting patterns implicitly assume that this will work, e.g., "increase five stitches per round".  Unfortunately, the knitter's gauges may differ from those of the pattern-maker and may even change with the circumference, and <math>\Delta n</math> is rarely an integer, so it is usually better to use the method outlined in the previous paragraph.
 
==References==
 
* June Hemmons Hiatt (2012) ''The Principles of Knitting'', Simon and Schuster, pg 372.  ISBN 978-1-4165-3517-1
 
{{knitting}}
 
[[Category:Knitted fabrics]]
 
 
{{textile-arts-stub}}

Latest revision as of 08:58, 8 December 2014

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