Lozenge-shaped

Definitions

  • Webster's Revised Unabridged Dictionary
    • a Lozenge-shaped Having the form of a lozenge or rhomb. "The lozenged panes of a very small latticed window."
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Century Dictionary and Cyclopedia
    • lozenge-shaped Having the form of a lozenge or rhomb; by extension, square but set diagonally. Compare lozengy.
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Chambers's Twentieth Century Dictionary
    • Lozenge-shaped shaped like a lozenge or rhomb
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Etymology

Chambers's Twentieth Century Dictionary
O. Fr. losange, flattery, whence its use for an epitaph, square slab, window-pane.

Usage

In literature:

The window was built with a low arch, and filled with lozenge-shaped panes.
"Phantastes" by George MacDonald
One is a grille of steel bands that open out into diamond-shaped lozenges.
"The Lady of the Shroud" by Bram Stoker
At intervals along the front were lozenge-shaped panels of pinky marble.
"The Fat and the Thin" by Emile Zola
The men next brought clusters of leaves, lozenge-like in shape and bottle-green in color.
"Against The Grain" by Joris-Karl Huysmans
These substances were for the most part cut in the shape of round, square, oval, spindle-shaped, pear-shaped, or lozenge-shaped beads.
"Manual Of Egyptian Archaeology And Guide To The Study Of Antiquities In Egypt" by Gaston Camille Charles Maspero
Many windows of little lozenge-shaped panes set in lead, might be seen here in all the various stages of renovation and decay.
"Strange Pages from Family Papers" by T. F. Thiselton Dyer
Three are of a delicate leaf-shape, while the fourth is lozenge-shaped.
"Stonehenge" by Frank Stevens
They are sometimes seen ornamented round the purfling with ebony, diamond and lozenge shape.
"The Violin" by George Hart
A lozenge-shaped figure, having four equal sides, but its angles not right angles.
"The Sailor's Word-Book" by William Henry Smyth
She was standing on a tall, white, lozenge-shaped rock, that looked almost as if it had been carefully shaped in concrete.
"The Mystery of the Green Ray" by William Le Queux
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In news:

The upper portions had a rich, frothy network of terra-cotta colonettes, helmets, lions' heads and lozenge shapes, all set against a crisscross brick pattern.
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In science:

This allowed the authors of this paper, in previous work ([R´em99], [Des01]), to prove that the set of lozenge (or domino) tilings of a holefree, general-shape domain in the plane can be endowed with a distributive lattice structure.
An optimal algorithm to generate tilings
This yields two possible shapes for dominoes (vertical or horizontal) and three shapes for lozenges. A domino tile (resp. lozenge tile ) is a domino (resp. lozenge) of either shape. A tiling of a domain is a set of tiles that cover the whole area with neither gap nor overlap.
An optimal algorithm to generate tilings
Using more detailed knowledge of how Ii (f ) behaves near the boundary, one can show that for the standard lozenge-shaped Hex board, Pi Ii (f ) = L3/4+o(1) .
Random-Turn Hex and other selection games
Typically, such a limit shape forms facets, i.e., areas where asymptotically only one kind of lozenges is present.
Asymptotics of Random Lozenge Tilings via Gelfand-Tsetlin Schemes
We then discuss how these local asymptotics describe global properties of random lozenge tilings such as the limit shape and the frozen boundary.
Asymptotics of Random Lozenge Tilings via Gelfand-Tsetlin Schemes
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