INDEX







abelian
absolute geometry
absolute space
abstract definition
affine geometry
affine transformation
analytic procedure
anomaly of group p3m1
antiidentity transformation
antiparallelism
antisymmetry desymmetrization
antisymmetry mosaic
antisymmetry group
antisymmetry transformation
Archimedean tiling
Archimede's spiral
arithmetic progression
asymmetric
automorphism
axiom
axis


band
binary operation
bipolarity
Bohm symbols
Bravais lattice


canonic representation
category of symmetry groups
Cayley diagram
Cayley table
central reflection
circle
circle preserving transformation
class of equivalence
classical theory of symmetry
classical-symmetry desymmetrization
classification of symmetry groups
coefficient of dilatation
coefficient of similarity
collineation
color
colored symmetry
commutativity
complete graph
composite transformation
congruence
connected graph
conformal rosette
conformal transformation
conjugate
continua
continuous symmetry group
coset
crystal system
crystallographic groups
crystallographic restriction
cyclic group


decomposition
defining relations
definitions of symmetry groups
desymmetrization
dihedral group
dilatation
dilative reflection
dilative rotation
direct product
direct transformation
discrete group


element of symmetry
enantiomorphism
equiangular spiral
equiangularity
equidistant spiral
equiformity
even transformation
evolvent


Fermat number
Fibonnaci sequence
finite frieze
finite group
flag
form of fundamental region
frieze
fundamental region


generator
geometric progression
geometry
glide reflection
global symmetry
golden section
graph of group
graphic symbols
group
group generated by reflections
group-subgroup relation
group/subgroup symbol


half-turn
hexagonal crystal system
homeomorphism
homogenous plane
homologous points
homeohedral tiling


image
incidence
index
indirect transformation
infinite group
infinite order
International symbols
intermediacy
invariant
inverse
inversion
inversion circle
inversional reflection
inversional rotation
involution
irreducible
irregular group
isohedral
isometry
isomorphism
isotropic plane


junior antisymmetry group
junior color-symmetry group


lattice
layer
line group
local symmetry
logarithmic spiral


mapping
marked tiling
maximal group
metric method
minimal index
minimal representation


non-coordinate symbols
non-metric method of construction
non-polarity
non-trivial
normal tiling
normal subgroup
number of edges


odd transformation
orbit
ordered geometry
order of element
order of group
order of transformation
orientability
original
ornament


permutation
phyllotaxis
point group
point in general position
polarity
power
presentation
product of transformations


radial ray
reducibility
reflection
regular group
regular tessellation
rhombic lattice
rod
rosette
rotation
rotational reflection


Schläfli symbol
sector of dilatation
semicontinua
similarity
singular
spiral
structure of group
subgroup
subspace
symbols
symmetrization
square lattice
square crystal system


tablet
tessellation
texture
tile
tiling
transformation
translation
topological transformation
trivial
type
twist
two-fold rotation


uniform tessellation


visual entropy
visual presentability


Weber diagram

CONTENTS