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  2. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    A geometric shape or object is symmetric if it can be divided into two or more identical pieces that are arranged in an organized fashion. [5] This means that an object is symmetric if there is a transformation that moves individual pieces of the object, but doesn't change the overall shape. The type of symmetry is determined by the way the ...

  3. Symmetry in biology - Wikipedia

    en.wikipedia.org/wiki/Symmetry_in_biology

    Symmetry is one class of patterns in nature whereby there is near-repetition of the pattern element, either by reflection or rotation. While sponges and placozoans represent two groups of animals which do not show any symmetry (i.e. are asymmetrical), the body plans of most multicellular organisms exhibit, and are defined by, some form of symmetry.

  4. Patterns in nature - Wikipedia

    en.wikipedia.org/wiki/Patterns_in_nature

    Patterns in nature are visible regularities of form found in the natural world. These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. [1] Early Greek philosophers studied pattern, with Plato ...

  5. Floral symmetry - Wikipedia

    en.wikipedia.org/wiki/Floral_symmetry

    Floral symmetry. [Left] Normal Streptocarpus flower (zygomorphic or mirror-symmetric), and [right] peloric (radially symmetric) flower on the same plant. Floral symmetry describes whether, and how, a flower, in particular its perianth, can be divided into two or more identical or mirror-image parts. Uncommonly, flowers may have no axis of ...

  6. Asymmetry - Wikipedia

    en.wikipedia.org/wiki/Asymmetry

    Asymmetry. Asymmetry is the absence of, or a violation of, symmetry (the property of an object being invariant to a transformation, such as reflection). [1] Symmetry is an important property of both physical and abstract systems and it may be displayed in precise terms or in more aesthetic terms. [2]

  7. Glide reflection - Wikipedia

    en.wikipedia.org/wiki/Glide_reflection

    Glide reflection. A glide reflection is the composition of a reflection across a line and a translation parallel to the line. This footprint trail has glide-reflection symmetry. Applying the glide reflection maps each left footprint into a right footprint and vice versa. In geometry, a glide reflection or transflection is a geometric ...

  8. The Ambidextrous Universe - Wikipedia

    en.wikipedia.org/wiki/The_Ambidextrous_Universe

    The Ambidextrous Universe is a popular science book by Martin Gardner, covering aspects of symmetry and asymmetry in human culture, science and the wider universe. It culminates in a discussion of whether nature's conservation of parity (the symmetry of mirrored quantum systems) is ever violated, which had been proven experimentally in 1956 .

  9. Symmetry (physics) - Wikipedia

    en.wikipedia.org/wiki/Symmetry_(physics)

    Symmetry (physics) The symmetry of a physical system is a physical or mathematical feature of the system (observed or intrinsic) that is preserved or remains unchanged under some transformation. A family of particular transformations may be continuous (such as rotation of a circle) or discrete (e.g., reflection of a bilaterally symmetric figure ...