- In geometry, an
improper rotation (also
called rotation-reflection,
rotoreflection,
rotary reflection, or rotoinversion) is an
isometry in
Euclidean space...
- with
rotoreflections include: if the
rotation angle has no
common divisor with 360°, the
symmetry group is not discrete. if the
rotoreflection has a...
- (results in
rotation by 180°
about the axis
perpendicular to both) two
rotoreflections about the same axis, with
respect to the same
plane two
glide reflections...
-
inversion (7, 0) as 0′. (3, 1) is
represented as 6 and (4, 1) as 6′. A
rotoreflection is a
combination of
rotation and reflection. O, 432, or [4,3]+ of order...
- that p****
through its axis; thus it can be
called a 2-reflection.
Rotoreflections,
glide reflections, and
point reflections can also
always be written...
- 180° (C2) 6 ×
reflection in a
plane through two
rotation axes (Cs) 6 ×
rotoreflection by 90° (S4) Th, 3*2, [4,3+] or m3, of
order 24 –
pyritohedral symmetry...
- with all
improper Euclidean isometries,
which includes reflections,
rotoreflections, transflections, and
point reflections. PGA
combines G ( 3 , 0 , 1...
- In a group, the
conjugate by g of h is ghg−1. If h is a translation, then its
conjugation by an
isometry can be
described as
applying the
isometry to the...
-
glide reflection symmetry (a
reflection followed by a translation) and
rotoreflection symmetry (a
combination of a
rotation and a reflection). A
dyadic relation...
- chirality.: pg. 3 Even
though a
chiral molecule lacks reflection (Cs) and
rotoreflection symmetries (S2n), it can have
other molecular symmetries, and its symmetry...
