Dear Spiders,
 
I haven't posted in such a long time that I have had to haul out the
e-mail I received when I re-joined Arache in 2005 to work out the
appropriate e-mail address for my post. I'm just writing to say how much
I'm enjoying the discussion and links on this topic - I find
classification systems that help organise information (or grounds) into
logical groups really useful to help understand (and remember) things,
but haven't done anything more complex than basic arithmetic since
leaving secondary school (and sadly, didn't do the highest level of
maths, so missed out on group theory)  and a mathematical approach is
outside of my scope of expertise. Like Nancy, I'm thrilled that someone
with the requisite intellectual skills and education is taking it on. I
have roughly drafted my own classification of roseground variations,
which is pretty simplistic in comparison. I'm still trying to work out
how to fit diagonal honeycomb (which is structurally a roseground) into
this system. One of the grounds Veronika has worked in third bookmark
sample in her Photostream is the same structure as diagonal honeycomb
with a direction reversal after every row - I'm not sure I like the
appearance, but I'm fascinated by the construction.
 
One of the properties that makes some of these grounds more aethetically
pleasing than others is not what the threads are doing, but the negative
spaces resulting from the thread movements.
 
Other ways of creating interesting effects with the negative space in
Torchon lace is the use of  what I call compound grounds, when 2
different, but familiar, pattern elements are put together to form a new
ground, which I first saw done in "Church Lace Today" (Margaret Jeans,
1988, ?self-published).
 
An early attempt to classify Torchon lace grounds was developed by M.J.
Geers-Vermeulen (De techniek van de kloskant - Stropkant deel II) and
published by the Kantcentrum, Brugge in 1993 - in 4 languages, including
English, os linguistically accessible to a large audience. Her system is
based on the number or pairs used for each pattern unit and I'm not sure
that it is compatible with a mathematical approach - but some of the
accompanying patterns demonstrating the use of the grounds as part of a
complete pattern are just gorgeous.
 
Have probably rambled sufficiently at this stage.
 
Best Wishes,
 
Christine Johnson (Sydney, Australia)

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