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 & Stottâs âThe 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 âIntroduction to Bobbin lace Stitchesâ (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 - To unsubscribe send email to majord...@arachne.com containing the line: unsubscribe lace y...@address.here. For help, write to arachne.modera...@gmail.com. Photo site: http://www.flickr.com/photos/lacemaker/sets/