The Logical Language Group Online Dictionary Query

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To improve the quality of results, jbovlaste search does not return words with insufficient votes. To qualify to be returned in search results, a proposed lujvo is required to have received a vote in favor in both directions: for instance, in English to Lojban and in Lojban to English.

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1 definition found

From Lojban to English :


        Word: pletomino [jbovlaste]
        Type: fu'ivla
  Gloss Word: polyabolo
  Gloss Word: polyform
  Gloss Word: polyhex
  Gloss Word: polyiamond
  Gloss Word: polyomino
  Gloss Word: polyplet
  Gloss Word: polystick
  Definition: $x1$ is a polyform/polyplet/polyomino/polyabolo/polyiamond
       (etc.) composed of parts/'tile' polytope $x2$ arranged in
       (finite) unified shape/pattern $x3$ in ambient space $x4$ and
       subject to rules/restrictions/conditions $x5$
       Notes: The number arrangement and rules may be as generic/vague as
       desired. The number of polytope 'tiles' used can be specified
       in the third of fifth terbri as desired; the polytopes used
       need not all be the same, nor regular, so long as the
       arrangement is meaningful and possible. One of the main
       differences between rectangular polyplets and polyominoes is
       that polyominoes cannot have their polytope tiles touching only
       at their vertices whereas polyplets can (thus, polyominoes are
       a subset of the rectangular polyplets); this difference can be
       specified in the final terbri. A tiling of a space may be
       considered to be an infinite polyform, but that is rather
       pathological and we can reasonably assume that polyforms
       referenced by this word will be finite. The polyform is
       considered to be a unified whole entity. The ambient space is
       usually going to be the Euclidean space of the same dimension
       as the polytopes (and the former dimension cannot be exceeded
       by the latter except in the marginal case of lower-dimensional
       (id est: hyperplanar) arrangements, in which case parallel
       cross-sections are really being considered); this space
       determines the rigid-motion/symmetry isomorphisms of various
       polyforms (Z and S tetraminoes are non-isomorphic under
       rigid-motion in the Euclidean plane but are so isomorphic in
       Euclidean 3-space). The ambient space also determines the
       expression of (and indeed the 'allowed') polytopes: spherical
       geometry allows for digons to be arranged so as to form a
       polyform, but Euclidean 2-space prohibits such objects from the
       set of possible polygons. The default polytope will probably be
       a 2-dimensional square; thus the default ambient space will
       likely be Euclidean 2-space. See also: karda,
       korfaipletomino






    
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