Hello Veronika

In bobbin lace, cloth stitch (CTC) has 90 degree rotational symmetry, but not
mirror symmetry.

Additional twists added to each of the pairs, in the same numbers, both before
and after the cloth stitch will retain the rotational symmetry.

A single half stitch (CT) does not have symmetry (although an area of half
stitch ground, if the working angle is 60 degrees, does have rotational
symmetry, but again not mirror symmetry)  It can also have rotational symmetry
when worked diagonally.

This means that you are limited to grounds which are worked with only cloth
stitches or cloth stitches with twists before and after each stitch and half
stitch braids worked diagonally.

Looking through my copy of Cook & Stott’s “The Book of Bobbin Lace
Stitches" (not Bobbin Lace Grounds) I can see:
Gauze Ground - p2
Torchon gauze 2 - p4
Italian Fillet with toile dots - p6 (if placing of the squares is
symmetrical)
Abruzzen Point and flat - p7 (if placing of the squares is symmetrical)
Gauze shapes - p8 (of the shapes are symmetrical)
Torchon ground - p12 *
Devonshire Double ground - p 28
Cane ground - p29
Diagonal Plaid 1 - p 30 (only after the pins are removed and the working angle
adjusted to 45 degrees)
Diagonal plaid 2 - p31
Kat stitch - p38 (will give 60 degree symmetry only if the working angle is
adjusted to 60 degrees)
Devonshire Honeycomb variation - p46 (will give 60 degree symmetry when pins
are removed if working angle is adjusted to 60 degrees)
Rose Ground 1 - p65
Rose ground 4 - p 69
Rose Ground 16 - p80
Rose ground worked straight - p 81
Flags - p92 (not true symmetry but if the narrow half stitch braids are dense
enough it will appear to be symmetrical)
Cord ground - p101 (after pins are removed)
Cord ground in untwisted frame - p102 (after pins are removed)
Valenciennes with picots (not true symmetry, appears to be symmetrical if the
braid is firm enough)
Braided Kat stitch - p122
Braid and cross - p123
Braided squares - p126
Braided leaves with picots (picots are not truly symmetrical but if firm they
appear to be)
Hexagonal braided leaves - p128
Moulinet - p 131 (picots are not truly symmetrical but if firm they appear to
be)
Braided diamonds and squares - p140 (picots are not truly symmetrical but if
firm they appear to be)
Braided flower motif - p147
Devonshire Diamond filling - p166
Marguerites 170
Marguerite a centre de toile - p171
Fat Maltese petals - p173
Thin Cluny petals - p174
Whole-stitch bud - p 234

Some of these are in the slimmer volume by Cook and Stott “Introduction to
Bobbin lace Stitches” (with different page numbers).

*Not shown in either of the Cook and Stott books is Dieppe Ground - similar to
torchon ground on p12 but each pin worked CTpCTT

Brenda

>
> I have been able to find many examples with mirror reflection
> in them.  Roseground is a good example which can be reflected in four
mirrors
> that meet in the center of a square (see the following picture:
> https://tesselace.com/symmetry/ <https://tesselace.com/symmetry/>).  What I
am looking for is grounds that have
> rotation symmetry - like a pinwheel. That is grounds that can be turned
around
> in a quarter, third or half of a circle and still look the same.

Brenda in Allhallows
paternos...@appleshack.com
www.brendapaternoster.co.uk

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