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单词 hexagonal
释义

hexagonaladj.n.

/hɛkˈsaɡənəl/
Forms: Also 1600s exagonal.
Etymology: < hexagon n. + -al suffix1.
A. adj.
1.
a. Of or pertaining to a hexagon; of the shape of a hexagon; having six sides and six angles.
ΘΚΠ
the world > space > shape > angularity > specific angular shape > [adjective] > polygonal > hexagonal
sexangled1517
six-squarec1530
siseangled1557
hexagonal1571
hexagonian1598
sexangular1608
hexagonial1623
hexagonical1657
hexangle1657
sexangulary1658
hexangular1665
six-sided1693
sexagonal1750
hexagon1754
the world > relative properties > number > geometry > shape or figure > [adjective] > two-dimensional > hexagonal
sexangled1517
six-squarec1530
siseangled1557
hexagonal1571
hexagonian1598
sexangular1608
hexagonial1623
hexagonical1657
sexangulary1658
hexangular1665
sexagonal1750
hexagon1754
1571 T. Digges in L. Digges's Geom. Pract.: Pantometria v. sig. V iij v The Diameter of the circle described within a Pentagonum is equall to the sides hexagonall and decagonall of the comprehending circle.
1664 H. Power Exper. Philos. i. 49 Poppy Seeds..are like an Hony-Comb on the Surface, with regular Sides and Angles, making all of them pentagonal and hexagonal areola's.
1862 J. Tyndall Mountaineering in 1861 viii. 67 Nature, prodigal of beauty, rains down her hexagonal ice-stars year by year.
b. hexagonal numbers n. the series of polygonal adj. and n. numbers 1, 6, 15, 28, 45, 66, 91, etc., formed by continuous summation of the arithmetical series 1, 5, 9, 13, 17, 21, 25, etc.If any one of these be multiplied by 32 and 4 added to the product the result will be a square number.
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1728 E. Chambers Cycl. at Polygon Polygonal Numbers are divided, with respect to the Number of their Terms, into Triangular, which are those whose difference of Terms is 1;..Hexagonal, where 4;..Octangonal, where 6,&c.
1796 C. Hutton Math. & Philos. Dict. (new ed.) I. 468/2 If that common difference..be 4, the series will be hexagonal numbers or hexagons.
2. Of solids: Whose section is a hexagon; constructed on a hexagon as base.
ΘΚΠ
the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > with particular section or base > hexagonal
hexagonal1646
1646 Sir T. Browne Pseudodoxia Epidemica ii. i. 53 As for the figure of crystall..it is for the most part hexagonall or six cornerd. View more context for this quotation
1774 O. Goldsmith Hist. Earth VIII. 101 Each cell is like that of the bee, hexagonal.
1794 R. J. Sulivan View of Nature I. 447 Quartz..When crystallized in hexagonal pyramids..is called mountain crystal.
1871 J. Tyndall Fragm. Sci. (1879) I. xii. 357 When silica crystallises, we have formed these hexagonal prisms capped at the ends by pyramids.
3. Crystallography. Designating one of the principal systems of crystallization, which is referred to three lateral axes, normally inclined to each other at 60°, and a vertical axis at right angles to these and differing from them in length. Also, Of or belonging to this system. hexagonal close-packed adj., applied to a type of crystal structure or lattice with hexagonal symmetry in which each ion or atom has twelve equidistant neighbours; so hexagonal close-packing (see quot. 1917); hexagonal symmetry, the symmetry of a figure or body that coincides with its original position after rotation about an axis through an angle of 60° or any multiple of this.
ΘΚΠ
the world > matter > chemistry > crystallography (general) > crystal (general) > crystal systems > [adjective] > hexagonal
hexagonal1837
the world > matter > chemistry > chemical structure or stereochemistry > [noun] > atomic framework or arrangement
skeleton1907
hexagonal close-packing1917
1837 J. D. Dana Min. (1844) ii. 35 Hexagonal System. The vertical solid angles of the rhombohedron are formed by the meeting of three equal planes.
1878 H. P. Gurney Crystallogr. 38 The line of intersection of six symmetral planes is an axis of hexagonal symmetry.
1895 N. Story-Maskelyne Crystallogr. Index Hexagonal axes.
1917 Physical Rev. 10 678 The so-called hexagonal close-packing..is one of the two alternative arrangements which the atoms would assume if they were hard spheres and were forced by pressure into the closest possible packing.
1920 Science 3 Sept. 228/1 The arrangement of atoms in zinc is like that in magnesium, namely: hexagonal close packed.
1966 L. G. Bassett et al. Princ. Chem. iii. 171 The difference between hexagonal close packing and face-centered close packing arises from the two arrangements for atoms in the third layer.
B. n.
A hexagonal number.
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1796 C. Hutton Math. & Philos. Dict. (new ed.) II. 258/2 The angles..of the hexagonals [are] six.

Derivatives

heˈxagonally adv. in a hexagonal manner; in the form of a hexagon; according to the hexagonal system of crystallization.
ΘΚΠ
the world > space > shape > angularity > specific angular shape > [adverb] > polygon > hexagon
sexangularly1681
hexagonally1727
1727 N. Bailey Universal Etymol. Eng. Dict. II Hexagonally.
1799 W. Jones Adams's Lect. Nat. & Exper. Philos. (ed. 2) II. xvi. App. 257 Its sides are flat, and from its base, hexagonally divided.
1837 J. D. Dana Min. (1844) 67 A hexagonally prismatic crystal of white lead.
heˈxagonalize v. (transitive) to form into hexagons.
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1870 Athenæum 2 Apr. 454 With a small hexagonalized map in his pocket, the traveller..could always tell his distance to a nicety.
This entry has not yet been fully updated (first published 1898; most recently modified version published online June 2022).
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adj.n.1571
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