# hexagon

## Definitions

• WordNet 3.6
• n hexagon a six-sided polygon
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Webster's Revised Unabridged Dictionary
• Interesting fact: All snow crystals are hexagonal.
• n Hexagon (Geom) A plane figure of six angles.
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Century Dictionary and Cyclopedia
• n hexagon In geometry, a figure of six sides and six angles. If it be plane and the sides and angles are equal, it is a regular hexagon.
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Chambers's Twentieth Century Dictionary
• n Hexagon heks′a-gon a figure with six sides and six angles
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## Etymology

Webster's Revised Unabridged Dictionary
L. hexagonum, Gr. six-cornered; "e`x six (akin to E. six,) + angle
Chambers's Twentieth Century Dictionary
Gr. hexagōnonhex, six, gōnia, an angle.

## Usage

### In literature:

That if the morsure be hexagonal, it produces poetry; the circular gives eloquence.
"Notes and Queries, Number 204, September 24, 1853" by Various
There is an octagonal south porch at Chipping Norton, and a hexagonal south porch at Ludlow.
"The Ground Plan of the English Parish Church" by A. Hamilton Thompson
It will be observed that all the forms have a hexagonal character.
"Harper's Young People, February 10, 1880" by Various
Their form is hexagonal; they are entirely hollow, and unsupported internally.
"The Pictureque Antiquities of Spain;" by Nathaniel Armstrong Wells
On the river bank is a temple to Siva, of hexagonal shape, old and going to ruin.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 5" by Various
Spouts are in simulation of hexagonal sheet-iron chimneys, with seams riveted, and the handles are in the form of a surveyor's telescope.
"The Engineering Contributions of Wendel Bollman" by Robert M. Vogel
The forms of the columns generally are pentagonal, hexagonal, or octagonal.
"The New Gresham Encyclopedia. Vol. 1 Part 3" by Various
It is a high cross, hexagonal in form.
"Cathedral Cities of England" by George Gilbert
It was yellow, hexagonal, and it looked like heaven.
"Project Cyclops" by Thomas Hoover
In this base also appear black specks of mica, the crystals of which have a more or less perfect hexagonal outline.
"A Manual of Elementary Geology" by Charles Lyell
Small dzedis are often disposed on the lower parts of the hexagon or octagon.
"The Life or Legend of Gaudama" by Right Reverend Paul Ambroise Bigandet
The latter is an hexagonal building of heavy hewn logs, with sloping roof, flagstaff, door, and port-holes.
He opened the door; a hexagonal Moorish lantern was burning low, and shed a soft light in the hall.
"Footsteps of Fate" by Louis Couperus
The ancient appearance of the fine hexagonal porch with the room above it makes a most inviting entrance.
"Stained Glass Tours in England" by Charles Hitchcock Sherrill
We now see why the old circular form of the biscuit has given way to the hexagonal.
"Harper's New Monthly Magazine" by Various
The Mihrab is hexagonal in shape, and twelve feet in diameter.
"With the World's Great Travellers, Volume 3" by Various
A burly old man was energetically planing a long, wide, roughly-shaped, hexagonal plank.
"At Large" by E. W. Hornung
Octagonal fonts are also known, though uncommon; hexagons are even less common, and pentagons very rare.
"Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 5" by Various
The old earl sat wrapped in furs on one side of the hexagonal room.
"The MS. in a Red Box" by John Arthur Hamilton
Similarly, the sides of the hexagon appear to sag inward where the corners of the rectangle meet them.
"Visual Illusions" by Matthew Luckiesh
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### In news:

The United States men's national team will open next year's CONCACAF World Cup qualifying hexagonal at Honduras on Feb 6 after the draw was held on Wednesday.
Mexico became the first team clinch a berth in next year's Hexagonal with a 1-0 win over Costa Rica on Javier Hernandez 's goal.
Canada eyes first Hexagonal berth in 16 years.
Jamaica, Mexico and Canada can clinch berths in next year's Hexagonal on Tuesday.
Offered at \$75 this Victorian Revival Hexagonal Terrarium Sells For 61 Times Top Estimate.
In Booth E-5202, Hexagon Metrology is debuting the Cognitens WLS400A, a 3D optical measurement solution that transforms a robot into an automatic, high-accuracy metrology device.
With its back to the wall, Costa Rica traveled to San Salvador and beat El Salvador, 1-0, to all but assure itself of second place in Group B and a berth in next year's Hexagonal.
Frueh already has moved on to her next hand- stitched project — a paper pieced, grandmother's garden hexagon quilt.
North Kingstown, RI– Hexagon Metrology announced the immediate availability of its new white light measurement products in North America.
The manual measurement system Cognitens WLS400M and the automated measurement system Cognitens WLS400A replace all former white light products from Hexagon Metrology.
Hexagon Metrology is seeking an assistant production manager.
Single walled surface cleaner attachments with hexagonal brass colored nozzles are affected by the voluntary recall.
Mexico, Costa Rica , Honduras, Jamaica and Panama are in the Hexagonal.
Clint Dempsey tied Brian McBride for third on the all-time scoring list with 30 goals as the Americans clinched their Hexagonal berth by beating Guatemala, 3-1.
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### In science:

We argue that in two dimensions the local hexagonal structure of the dense ﬂuid, is similar to that of the solid.
Phase Behavior of a Simple Model for Membrane Proteins
We will also, in section 4, consider rhombus tilings of a hexagon, , which are related to boxed plane partitions.
Non-intersecting Paths, Random Tilings and Random Matrices
See sect. 4.2 below for some more details in the analogous result for rhombus tilings of a hexagon.
Non-intersecting Paths, Random Tilings and Random Matrices
This follows from the symmetry of the hexagon.
Non-intersecting Paths, Random Tilings and Random Matrices
We will have polar zones associated with each corner of the hexagon.
Non-intersecting Paths, Random Tilings and Random Matrices
We let the size of the hexagon grow in such a way that a/c → λ > 0 as c → ∞.
Non-intersecting Paths, Random Tilings and Random Matrices
We also have to translate the coordinate system so that we get the origin at the center of the hexagon.
Non-intersecting Paths, Random Tilings and Random Matrices
Consider the m holes in the m:th column, 1 ≤ m ≤ b = a. we want to compute the probability distribution of these m holes, with m ﬁxed, as the hexagon grows.
Non-intersecting Paths, Random Tilings and Random Matrices
The result is a hyperbolic right-angled hexagon (Figure 6).
Singular sets and parameters of generalized triangle orbifolds
The space group is P 6/mmm, and the primitive cell is hexagonal with one formula unit per cell.
Metal-Boron Nanotubes
One example is the rhombus tiling problem of Figure 1 with the region to be tiled extended to be symmetrical about t = M and thus made into a hexagon.
Vicious Random Walkers and a Discretization of Gaussian Random Matrix Ensembles
These regular (open) polygons should besides make up a (regular) tiling of the (Tanaka-Tagoshi) plane , and hence can only be triangles, squares or hexagons.
Optimum Placement of Post-1PN GW Chirp Templates Made Simple at any Match Level via Tanaka-Tagoshi Coordinates
Hence, the templates should be located at the vertices of a regular triangle, square or hexagon inscribed in a circle γΓ .
Optimum Placement of Post-1PN GW Chirp Templates Made Simple at any Match Level via Tanaka-Tagoshi Coordinates
The Voronoi sets are shown shaded in Fig. 2, for the (regular) triangular, square and hexagonal tilings of the (Tanaka-Tagoshi) plane . A choice can be made on the basis of a comparison among the measures (areas) of the pertinent Voronoi sets.
Optimum Placement of Post-1PN GW Chirp Templates Made Simple at any Match Level via Tanaka-Tagoshi Coordinates
The triangular tiling is thus seen to be the best choice, yielding a gain in terms of template-span of ∼ 30%, whereas the hexagonal one features a loss of ∼ 35%, w.r.t. the simples square tiling .
Optimum Placement of Post-1PN GW Chirp Templates Made Simple at any Match Level via Tanaka-Tagoshi Coordinates
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