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The Collaborative International Dictionary
Foliation

Foliation \Fo"li*a"tion\, n. [Cf. F. foliation.]

  1. The process of forming into a leaf or leaves.

  2. The manner in which the young leaves are dispo?ed within the bud.

    The . . . foliation must be in relation to the stem.
    --De Quincey.

  3. The act of beating a metal into a thin plate, leaf, foil, or lamina.

  4. The act of coating with an amalgam of tin foil and quicksilver, as in making looking-glasses.

  5. (Arch.) The enrichment of an opening by means of foils, arranged in trefoils, quatrefoils, etc.; also, one of the ornaments. See Tracery.

  6. (Geol.) The property, possessed by some crystalline rocks, of dividing into plates or slabs, which is due to the cleavage structure of one of the constituents, as mica or hornblende. It may sometimes include slaty structure or cleavage, though the latter is usually independent of any mineral constituent, and transverse to the bedding, it having been produced by pressure.

Douglas Harper's Etymology Dictionary
foliation

1620s, from Latin foliat-, stem of folium "a leaf" (see folio).

Wiktionary
foliation

n. 1 (lb en botany) The process of forming into a leaf or leaves. 2 (lb en publishing) The process of forming into pages; pagination. 3 (lb en botany) The manner in which the young leaves are disposed within the bud. 4 The act of beating a metal into a thin plate, leaf, foil, or lamina. 5 The act of coating with an amalgam of tin foil and quicksilver, as in making looking-glasses. 6 The enrichment of an opening by means of foils, arranged in trefoils, quatrefoils, etc.; also, one of the ornaments. 7 (lb en geology) The property, possessed by some crystalline rocks, of being divided into plates or layers, due to the cleavage structure of one of the constituents, as mica or hornblende. It may sometimes include slaty structure or cleavage, though the latter is usually independent of any mineral constituent, and transverse to the bedding, it having been produced by pressure. 8 (lb en topology) A set of submanifolds of a given manifold, each of which is of lower dimension than it, but which, taken together, are coextensive with it.

WordNet
foliation
  1. n. (botany) the process of forming leaves [syn: leafing]

  2. (geology) the arrangement of leaflike layers in a rock

  3. (architecture) leaf-like architectural ornament [syn: foliage]

  4. the production of foil by cutting or beating metal into thin leaves

  5. the work of coating glass with metal foil

Wikipedia
Foliation

In mathematics, a foliation is a geometric tool for understanding manifolds. The leaves of a foliation consist of integrable subbundles of the tangent bundle. Foliating a manifold may split it up into pieces that interact simply. A foliation looks locally like a decomposition of the manifold as a union of parallel submanifolds of smaller dimension.

Foliation (geology)

Foliation in geology refers to repetitive layering in metamorphic rocks. Each layer may be as thin as a sheet of paper, or over a meter in thickness. The word comes from the Latin folium, meaning "leaf", and refers to the sheet-like planar structure. It is caused by shearing forces (pressures pushing different sections of the rock in different directions), or differential pressure (higher pressure from one direction than in others). The layers form parallel to the direction of the shear, or perpendicular to the direction of higher pressure. Nonfoliated metamorphic rocks are typically formed in the absence of significant differential pressure or sheer. Foliation is common in rocks affected by the regional metamorphic compression typical of areas of mountain belt formation ( orogenic belts).

More technically, foliation is any penetrative planar fabric present in metamorphic rocks. Rocks exhibiting foliation include the standard sequence formed by the prograde metamorphism of mudrocks; slate, phyllite, schist and gneiss. The slatey cleavage typical of slate is due to the preferred orientation of microscopic phyllosilicate crystals. In gneiss the foliation is more typically represented by compositional banding due to segregation of mineral phases. Foliated rock is also known as S-tectonite in sheared rock masses.

Examples include the bands in gneiss ( gneissic banding), a preferred orientation of planar large mica flakes in schist ( Schistocity), the preferred orientation of small mica flakes in phyllite (with its planes having a silky sheen, called phylitic luster - the Greek word, phyllon, also means "leaf"), the extremely fine grained preferred orientation of clay flakes in slate (called " slaty cleavage"), and the layers of flattened, smeared, pancake-like clasts in metaconglomerate.

Foliation (disambiguation)

Foliation may refer to:

  • Foliation, a geometric device used to study manifolds
  • Foliation (geology), a property of certain rocks
  • a system of pagination in book production
  • Vernation, the growth and arrangement of leaves
  • In architecture, an ornamentation consisting of a carved leaf shape, as in Trefoil
  • In dragonfly morphology, leaf-like extensions on segment 8 or segment 9 of the abdomen

Usage examples of "foliation".

The original foliation seems to have been cut away, and the intermediate mullions extended to the points of the two lights.

Pattern after pattern of graceful foliation emerged till the design assumed the intricate complexity of the Egyptic style.

The foliation I mentioned above, which replaced body hair, would have helped establish a new ethics, but Mr.

I knew all about that collection of his, not only because I had had to listen to him for hours on the subject of sconces, foliation, ribbon wreaths in high relief and gadroon borders, but because I had what you might call a personal interest in it, once having stolen an eighteenth-century cow-creamer for him.

He saw, as before, the ranked landscapes, the intricate foliations, the mapped connections, the pulsing lights.