46 Two-Color Counterchange Symmetries - Artlandia · 46-two-color-counterchange-symmetries Created...
2
p1 pg pm cm cmm p2 pgg pmg pg’ = pg/p1 pm’ = pm/p1 cm’ = cm/p1 cm’m’ = cmm/p2 p2’ = p2/p1 pg’g’ = pgg/p2 pm’g = pmg/pg pm’g’ = pmg/p2 p’ b mg = pmg/pmg p’ b gg = pmg/pgg pmg’ = pmg/pm pgg’ = pgg/pg p’ b 2 = p2/p2 cmm’ = cmm/cm p’ b 1g = pg/pg p’ b 1 = p1/p1 p’ b m = pm/pm(m) p’ c m = cm/pm p’ c g = cm/pg p’ c mm = cmm/pmm p’ c gg = cmm/pgg p’ c mg = cmm/pmg p’ b g = pm/pg p’ b 1m = pm/pm(m’) c’m = pm/cm This file has embedded SymmetryWorks patterns. You can open it in Adobe Illustrator and experiment. Two-color surface patterns from Woods [1] reproduced with SymmetryWorks. Symmetry notations from Washburn and Crowe [2]. • Left column: Primary symmetry (type) • Gray icons under patterns: Secondary symmetry (subtype) 46 Two-Color Counterchange Symmetries
Transcript of 46 Two-Color Counterchange Symmetries - Artlandia · 46-two-color-counterchange-symmetries Created...
p1
pg
pm
cm
cmm
p2
pgg
pmg
pg’ = pg/p1
pm’ = pm/p1
cm’ = cm/p1
cm’m’ = cmm/p2
p2’ = p2/p1
pg’g’ = pgg/p2
pm’g = pmg/pg pm’g’ = pmg/p2 p’b
mg = pmg/pmg p’b
gg = pmg/pggpmg’ = pmg/pm
pgg’ = pgg/pg
p’b
2 = p2/p2
cmm’ = cmm/cm
p’b
1g = pg/pg
p’b
1 = p1/p1
p’b
m = pm/pm(m)
p’cm = cm/pm p’
cg = cm/pg
p’cmm = cmm/pmm p’
cgg = cmm/pgg p’
cmg = cmm/pmg
p’b
g = pm/pg p’b
1m = pm/pm(m’) c’m = pm/cm
This �le has embedded SymmetryWorks patterns. You can open it in Adobe Illustrator and experiment.
Two-color surface patterns from Woods [1] reproduced with SymmetryWorks. Symmetry notations from Washburn and Crowe [2].• Left column: Primary symmetry (type) • Gray icons under patterns: Secondary symmetry (subtype)
46 Two-Color Counterchange Symmetries
pmm
p4
p4m
p4g
p3m1
p31m
p6
p6m
p4m’m’ = p4m/p4
p4g’m’ = p4g/p4
p3m’ = p3m1/p3
p31m’ = p31m/p3
p6’ = p6/p3
p6m’m’ = p6m/p3 p6’mm’ = p6m/p3m1 p6’m’m = p6m/p31m
p4’gm’ = p4g/pgg p4’g‘m = p4g/cmm
p4’mm’ = p4m/pmm p4’m‘m = p4m/cmm p’c4mm = p4m/p4m p’
c4gm = p4m/p4g
p’c4 = p4/p4p4’ = p4/p2
pmm’ = pmm/pmpm’m’ = pmm/p2 p’b
mm = pmm/pmm c’mm = pmm/cmmp’b
gm = pmm/pmg
Cop
yrig
ht ©
201
3 A
rtlan
dia,
Inc.
Thi
s fil
e ca
n be
free
ly c
opie
d an
d di
strib
uted
in it
s en
tiret
y. A
rtlan
dia
and
Sym
met
ryW
orks
are
regi
ster
ed tr
adem
arks
of A
rtlan
dia,
Inc.
[1] H.J. Woods. The geometrical basis of pattern design. Part IV—Counterchange symmetry in plane patterns, Journal of the Textile Institute, Transactions, v. 27 (1936), p. T305–T320.[2] D. K. Washburn and D. W. Crowe, Symmetries of Culture: Theory and Practice of Plane Pattern Analysis, Seattle: University of Washington Press, 1988.
www.artlandia.com/SymmetryWorks
