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  • Thumbnail for Wallpaper group
    composition as the group operation. Thus, a wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of...
    75 KB (7,708 words) - 03:20, 24 May 2024
  • Thumbnail for Reflection symmetry
    undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry. An object or figure which is indistinguishable...
    8 KB (742 words) - 09:52, 5 June 2024
  • Thumbnail for Molecular symmetry
    molecular symmetry describes the symmetry present in molecules and the classification of these molecules according to their symmetry. Molecular symmetry is a...
    50 KB (4,313 words) - 11:22, 10 May 2024
  • A plane symmetry is a symmetry of a pattern in the Euclidean plane: that is, a transformation of the plane that carries any direction lines to lines and...
    1 KB (167 words) - 20:38, 12 May 2024
  • Thumbnail for Symmetry group
    3D figures have mirror symmetry, but with respect to different mirror planes. two 3D figures have 3-fold rotational symmetry, but with respect to different...
    17 KB (2,283 words) - 19:34, 22 March 2024
  • Thumbnail for Symmetry in biology
    has a plane of symmetry down its centre, or a pine cone displays a clear symmetrical spiral pattern. Internal features can also show symmetry, for example...
    35 KB (4,105 words) - 06:24, 29 April 2024
  • Thumbnail for Glide reflection
    tessellations of the plane), and space groups (which describe e.g. crystal symmetries). Objects with glide-reflection symmetry are in general not symmetrical...
    12 KB (1,587 words) - 01:02, 3 February 2024
  • Thumbnail for Rotational symmetry
    Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn...
    15 KB (1,590 words) - 21:25, 5 April 2024
  • some symmetry element (a point, line or plane). Symmetry operations can be classified either as point symmetry operations or as travel symmetry operations...
    13 KB (1,742 words) - 03:10, 14 April 2024
  • Thumbnail for Symmetry
    An object has reflectional symmetry (line or mirror symmetry) if there is a line (or in 3D a plane) going through it which divides it into two pieces that...
    36 KB (3,883 words) - 13:52, 12 March 2024
  • Thumbnail for Crystal structure
    principal axis) which has higher rotational symmetry than the other two axes. The basal plane is the plane perpendicular to the principal axis in these...
    45 KB (5,139 words) - 19:04, 1 May 2024
  • Thumbnail for Octahedral symmetry
    octahedral symmetry or full octahedral symmetry. This group has the same rotation axes as O, but with mirror planes, comprising both the mirror planes of Td...
    29 KB (1,865 words) - 02:43, 1 March 2024
  • symmetry element is a point, line, or plane about which symmetry operations can take place. In particular, a symmetry element can be a mirror plane,...
    6 KB (748 words) - 12:53, 2 October 2023
  • Thumbnail for Symmetry (geometry)
    rotational symmetry. If the isometry is the reflection of a plane figure about a line, then the figure is said to have reflectional symmetry or line symmetry; it...
    30 KB (3,471 words) - 14:18, 12 March 2024
  • Thumbnail for Orthotropic material
    associated planes of symmetry are also defined for a small region around a point and do not necessarily have to be identical to the planes of symmetry of the...
    25 KB (5,014 words) - 20:34, 22 May 2024
  • Thumbnail for Woodward–Hoffmann rules
    reaction. A symmetry element is a point of reference (usually a plane or a line) about which an object is symmetric with respect to a symmetry operation...
    93 KB (11,923 words) - 12:53, 26 April 2024
  • Thumbnail for Circular symmetry
    and map onto itself. Rotational circular symmetry is isomorphic with the circle group in the complex plane, or the special orthogonal group SO(2), and...
    4 KB (389 words) - 01:49, 18 March 2024
  • Thumbnail for Spontaneous symmetry breaking
    Spontaneous symmetry breaking is a spontaneous process of symmetry breaking, by which a physical system in a symmetric state spontaneously ends up in an...
    30 KB (3,839 words) - 18:11, 27 April 2024
  • Thumbnail for Tetrahedral symmetry
    (or centrally radial lines) in the plane. Each of these 6 circles represent a mirror line in tetrahedral symmetry. The intersection of these circles meet...
    18 KB (1,013 words) - 16:46, 5 June 2024
  • Thumbnail for Facial symmetry
    Facial symmetry is one specific measure of bodily symmetry. Along with traits such as averageness and youthfulness, it influences judgments of aesthetic...
    25 KB (2,658 words) - 18:29, 29 March 2024
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