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Functions having Mirrors but no Positive Rotations

Table: Symmetry types in rectangular cell without positive rotations
type G E Recipe for this type and remarks
pm' p1 pm sin(mY) terms only;
M negative
pm [Image] pm pm cos(mY) terms only;
M positive
p'b1m [Image] pm pm cos(mY) terms only and n odd;
L negative; new cell half of old
p'bm [Image] pm pm cos(mY) terms only and m odd;
A negative; new cell half of old
p'cm pm cm cos(mY) terms only and n + m odd;
B negative; new cell half of old
pmm' pm pmm sin(nY) cos(mY) terms only;
Mv and R negative
pmg' [Image] pm pmg n odd with sin(nX) cos(mY) terms
n even with cos(nX) sin(mY) terms;
L and R negative; B positive


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Communications in Visual Mathematics, vol 1, no 1, August 1998.
Copyright © 1998, The Mathematical Association of America. All rights reserved.
Created: 08 Jul 1998 --- Last modified: 18 Aug 1998 23:59:59
Comments to: CVM@maa.org