polyhedraladj.

Brit.

/ˌpɒlɪˈhiːdr(ə)l/, U.S.

/ˌpɑliˈhidr(ə)l/

Forms: 1600s polyhedrall, 1700s–1800s polyedral, 1700s–1800s polyhaedral, 1700s– polyhedral.

Origin: A borrowing from Greek, combined with an English element. Etymons: Greek πολύεδρος , -al suffix¹.

Etymology: < Hellenistic Greek πολύεδρος (see polyhedron n.) + -al suffix¹ (compare -hedral comb. form), after polyhedron n. Compare polyhedrical adj. N.E.D. (1907) also gives the pronunciation (pǫlihe·drăl) /pɒlɪˈhɛdrəl/.

a. Having the form of a polyhedron; (of a solid figure or body) having many plane faces.

ΘΚΠ

the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > having number of faces > polyhedral

polyhedrala1652

polyhedrical1654

polyhedrous1678

polyhedric1786

a1652 S. Foster Elliptical Horologiography (1654) 35 Polyhedrall Bodies made of some light matter.

1714 W. Whiston Elements Euclid viii. 34 Let some Polyedral Body be understood to be circumscribed about the Sphere.

1741 tr. J. A. Cramer Elements Art of assaying Metals iv. 150 The most rich tin-Ore is of a black or dark Colour, of a polyhedral, but altogether irregular Figure.

1771 J. Hill Fossils 404 Polyhædral iron ore.

1800 R. Heron Elements Chem. vi. viii. 238 It affords crystals united in a stratum, and exhibiting on the surface polyhædral pyramids.

1836 Southern Literary Messenger 2 507/1 The solidity of every polyedral body may be computed by dividing the body into pyramids.

1885 G. L. Goodale in A. Gray & G. L. Goodale Bot. Text-bk. (ed. 6) II. i. i. 47 Starch..occurs as minute..polyhedral granules.

1904 H. G. Wells First Men in Moon iii. 49 The steel shell..was not really a spherical shell, but polyhedral, with a roller blind to each facet.

1960 K. Esau Anat. Seed Plants i. 5 The cells vary in shape, are often polyhedral, but may be stellate or much elongated.

1991 Sci. News 30 Nov. 354/2 Interlocking assembly puzzles, from tangrams to puzzles made of polyhedral blocks.

b. figurative. Having many sides or aspects; multifaceted. Cf. polyhedric adj. 2.

ΘΚΠ

the world > relative properties > relationship > variety > [adjective] > many-sided or having parts > having various qualities or aspects (of persons)

miscellaneous1646

varied1730

polyhedral1881

1881 W. A. P. D. D. Martin Chinese 271 The subject is so polyhedral that the writer is altogether in doubt as to the aspects under which he is expected to treat it.

1965 Listener 16 Dec. 1007/3 Aldous Huxley was the most polyhedral man of his age.

1997 J. D. Baggott tr. G. da Simone Ending Anal. ii. 24 I feel that the ‘decision to detach’ involves a much more polyhedral situation, comprising various levels.

2. Mathematics. Of an angle: formed by several (esp. more than three) planes meeting at a point.

ΚΠ

1856 G. R. Perkins Plane & Solid Geom. v. 138 Three planes, at least, are necessary for forming a polyedral angle.

1880 Amer. Jrnl. Math. 3 2 The number of regular 4-fold angles that can be made up of regular polyhedral angles is five.

1991 SIAM Jrnl. Appl. Math. 51 23 Let V be an arbitrary polyhedral angle at the vertex (X, Y, Z).

3. Mathematics and Crystallography. Of, relating to, or involving a polyhedron or polyhedra.

ΘΚΠ

the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to functions

generating1671

exponential1704

discontinuous1803

functional1806

odd1812

periodic1820

syzygetic1850

convex1858

graphometric1865

polycyclic1869

subrational1875

synectic1876

variational1879

polyhedral1881

holomorphic1886

tropical1887

Gudermannian1888

monogeneous1888

monotonous1890

oscillating1893

monotonic1901

monotone1903

orthogonalized1909

schlicht1925

concave1942

deconvolved1974

unate1978

1881 A. Cayley in Trans. Cambr. Philos. Soc. 13 39 The functions so transformable into themselves must be Polyhedral functions..the linear transformations..corresponding to the rotations whereby the spherical polyhedron can be brought into coincidence with its own original position.

1919 F. Cajori Hist. Math. (ed. 2) 323 Tait was led to study knots also by the polyhedral method.

1968 Science 8 Nov. 642/1 The mathematics of crystallography was, at first, the simple analysis of steps in such polyhedral packing.

1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) iv. 55 In similar manner polygonal numbers of all orders are designated; the process..is easily extended to three-dimensional space, where one deals with polyhedral numbers.

1999 Nature 12 Aug. 617/3 There are exactly nine uninodal, 117 binodal and 926 trinodal structures of this type derived from polyhedral packings.

Compounds

polyhedral disease n. Entomology = polyhedrosis n.

ΘΚΠ

the world > health and disease > ill health > animal disease or disorder > disorders of insects > [noun] > disorders of caterpillars

polyhedral disease1913

polyhedrosis1947

1913 Jrnl. Econ. Entomol. 6 482 In Europe there is a tendency to group all the caterpillar diseases which are characterized by the formation of polyhedral bodies under the name of ‘polyederkrankheit’ or polyhedral diseases.

1995 Comline Chem. & Materials (Nexis) 17 May Research groups..have succeeded in mutating a polyhedral-disease virus into one lacking the cysteine-protease gene.

Derivatives

polyˈhedrally adv. like a polyhedron; as a polyhedron.

ΚΠ

1919 Proc. Royal Soc. 1917–19 B. 90 478 The durain débris..is largely composed of irregular but more polyhedrally shaped fragments.

1969 Trans. Amer. Math. Soc. 137 452 The polyhedron X polyhedrally collapses to a subpolyhedron Y.

1994 Amer. Jrnl. Bot. 81 696/1 Polyhedrally shaped segments, each 2.4–4 μm in diam.

This entry has been updated (OED Third Edition, September 2006; most recently modified version published online March 2022).

单词	polyhedral
释义	polyhedraladj. Brit. /ˌpɒlɪˈhiːdr(ə)l/, U.S. /ˌpɑliˈhidr(ə)l/ Forms: 1600s polyhedrall, 1700s–1800s polyedral, 1700s–1800s polyhaedral, 1700s– polyhedral. Origin: A borrowing from Greek, combined with an English element. Etymons: Greek πολύεδρος , -al suffix¹. Etymology: < Hellenistic Greek πολύεδρος (see polyhedron n.) + -al suffix¹ (compare -hedral comb. form), after polyhedron n. Compare polyhedrical adj. N.E.D. (1907) also gives the pronunciation (pǫlihe·drăl) /pɒlɪˈhɛdrəl/. 1. a. Having the form of a polyhedron; (of a solid figure or body) having many plane faces. ΘΚΠ the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > having number of faces > polyhedral polyhedrala1652 polyhedrical1654 polyhedrous1678 polyhedric1786 a1652 S. Foster Elliptical Horologiography (1654) 35 Polyhedrall Bodies made of some light matter. 1714 W. Whiston Elements Euclid viii. 34 Let some Polyedral Body be understood to be circumscribed about the Sphere. 1741 tr. J. A. Cramer Elements Art of assaying Metals iv. 150 The most rich tin-Ore is of a black or dark Colour, of a polyhedral, but altogether irregular Figure. 1771 J. Hill Fossils 404 Polyhædral iron ore. 1800 R. Heron Elements Chem. vi. viii. 238 It affords crystals united in a stratum, and exhibiting on the surface polyhædral pyramids. 1836 Southern Literary Messenger 2 507/1 The solidity of every polyedral body may be computed by dividing the body into pyramids. 1885 G. L. Goodale in A. Gray & G. L. Goodale Bot. Text-bk. (ed. 6) II. i. i. 47 Starch..occurs as minute..polyhedral granules. 1904 H. G. Wells First Men in Moon iii. 49 The steel shell..was not really a spherical shell, but polyhedral, with a roller blind to each facet. 1960 K. Esau Anat. Seed Plants i. 5 The cells vary in shape, are often polyhedral, but may be stellate or much elongated. 1991 Sci. News 30 Nov. 354/2 Interlocking assembly puzzles, from tangrams to puzzles made of polyhedral blocks. b. figurative. Having many sides or aspects; multifaceted. Cf. polyhedric adj. 2. ΘΚΠ the world > relative properties > relationship > variety > [adjective] > many-sided or having parts > having various qualities or aspects (of persons) miscellaneous1646 varied1730 polyhedral1881 1881 W. A. P. D. D. Martin Chinese 271 The subject is so polyhedral that the writer is altogether in doubt as to the aspects under which he is expected to treat it. 1965 Listener 16 Dec. 1007/3 Aldous Huxley was the most polyhedral man of his age. 1997 J. D. Baggott tr. G. da Simone Ending Anal. ii. 24 I feel that the ‘decision to detach’ involves a much more polyhedral situation, comprising various levels. 2. Mathematics. Of an angle: formed by several (esp. more than three) planes meeting at a point. ΚΠ 1856 G. R. Perkins Plane & Solid Geom. v. 138 Three planes, at least, are necessary for forming a polyedral angle. 1880 Amer. Jrnl. Math. 3 2 The number of regular 4-fold angles that can be made up of regular polyhedral angles is five. 1991 SIAM Jrnl. Appl. Math. 51 23 Let V be an arbitrary polyhedral angle at the vertex (X, Y, Z). 3. Mathematics and Crystallography. Of, relating to, or involving a polyhedron or polyhedra. ΘΚΠ the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to functions generating1671 exponential1704 discontinuous1803 functional1806 odd1812 periodic1820 syzygetic1850 convex1858 graphometric1865 polycyclic1869 subrational1875 synectic1876 variational1879 polyhedral1881 holomorphic1886 tropical1887 Gudermannian1888 monogeneous1888 monotonous1890 oscillating1893 monotonic1901 monotone1903 orthogonalized1909 schlicht1925 concave1942 deconvolved1974 unate1978 1881 A. Cayley in Trans. Cambr. Philos. Soc. 13 39 The functions so transformable into themselves must be Polyhedral functions..the linear transformations..corresponding to the rotations whereby the spherical polyhedron can be brought into coincidence with its own original position. 1919 F. Cajori Hist. Math. (ed. 2) 323 Tait was led to study knots also by the polyhedral method. 1968 Science 8 Nov. 642/1 The mathematics of crystallography was, at first, the simple analysis of steps in such polyhedral packing. 1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) iv. 55 In similar manner polygonal numbers of all orders are designated; the process..is easily extended to three-dimensional space, where one deals with polyhedral numbers. 1999 Nature 12 Aug. 617/3 There are exactly nine uninodal, 117 binodal and 926 trinodal structures of this type derived from polyhedral packings. Compounds polyhedral disease n. Entomology = polyhedrosis n. ΘΚΠ the world > health and disease > ill health > animal disease or disorder > disorders of insects > [noun] > disorders of caterpillars polyhedral disease1913 polyhedrosis1947 1913 Jrnl. Econ. Entomol. 6 482 In Europe there is a tendency to group all the caterpillar diseases which are characterized by the formation of polyhedral bodies under the name of ‘polyederkrankheit’ or polyhedral diseases. 1995 Comline Chem. & Materials (Nexis) 17 May Research groups..have succeeded in mutating a polyhedral-disease virus into one lacking the cysteine-protease gene. Derivatives polyˈhedrally adv. like a polyhedron; as a polyhedron. ΚΠ 1919 Proc. Royal Soc. 1917–19 B. 90 478 The durain débris..is largely composed of irregular but more polyhedrally shaped fragments. 1969 Trans. Amer. Math. Soc. 137 452 The polyhedron X polyhedrally collapses to a subpolyhedron Y. 1994 Amer. Jrnl. Bot. 81 696/1 Polyhedrally shaped segments, each 2.4–4 μm in diam. This entry has been updated (OED Third Edition, September 2006; most recently modified version published online March 2022). < adj.a1652
随便看	galenical figure galenically galenicals galeniferous galenism galenist galenistical galenite galenites galeno-chemist galenobismutite galenochemist galenoid galeod galeoid galeopithecus galeplant galer galericulate galericulated galerite galern gales galesheaves galet