tetrahedraladj.

Brit.

/tɛtrəˈhiːdrəl/,

/tɛtrəˈhɛdrəl/, U.S.

/ˌtɛtrəˈhidrəl/

Forms: Also 1700s–1800s tetraedral.

Etymology: < late Greek τετράεδρος (see tetrahedron n.) + -al suffix¹.

a. Having four sides (in addition to the base or ends); enclosed or contained laterally by four plane surfaces, as a tetrahedral prism or pyramid. tetrahedral angle, tetrahedral quoin, one bounded by four planes meeting at a common apex.

ΘΚΠ

the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > conical > pyramidal > tetrahedral

tetrahedral1794

tetrahedrical1860

tetrahedric1890

tetrahedrid1895

tetrahedroid1899

1794 G. Adams Lect. Nat. & Exper. Philos. II. xiii. 43 The internal cavity is found to be lined with beautiful tetrahedral prisms.

1812 H. Davy Elements Chem. Philos. 124 Four particles may compose a tetrahedron, five a tetraedral pyramid, six an octaedron.

1828 J. Stark Elements Nat. Hist. II. 139 Body tetraedral, furrowed above.

1878 H. P. Gurney Crystallogr. 85 The tetrahedral quoins..of the rhombic dodecahedron.

b. Quadrilateral, quadrangular. (Also in combinations.)

ΚΠ

1816 W. Kirby & W. Spence Introd. Entomol. (1818) II. xxvii. 491 Cells with regular tetrahedral bottoms.

1816 W. Kirby & W. Spence Introd. Entomol. (1818) II. xxvii. 494 The tetrahedral-bottomed transition cells..still preserved their usual shape of hexagonal prisms.

2. Of or pertaining to a tetrahedron; having the form of a tetrahedron; spec. in Crystallography, belonging to a division of the isometric system of which the regular tetrahedron is the characteristic form.

ΚΠ

1816 R. Jameson Treat. External Characters Minerals (ed. 2) 195 Tetrahedral, when the crystal has the regular tetrahedron as a secondary form. Example, Tetrahedral blende.

1876 J. Harley Royle's Man. Materia Med. (ed. 6) 369 The spores are minute, tetrahedral granules, each presenting four facets, and are minutely ridged by a hexagonal network.

1903 A. G. Bell in National Geographic Mag. June 225 The Tetrahedral principle in Kite Structure. When a tetrahedral frame is provided with aero-surfaces of silk or other material..it becomes a tetrahedral kite, or kite having the form of a tetrahedron.

3. Mathematics. tetrahedral numbers, the series of integers 1, 4, 10, 20,…, the nth member of which is the sum of the first n triangular numbers.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > series > infinite

secundan1685

infinite series1706

Taylor('s) series1816

Maclaurin's series1881

power series1884

Fibonacci('s) series1891

Laurent's expansion1893

Fibonacci('s) numbers1914

majorant1925

tetrahedral numbers1939

Fibonacci('s) sequence1964

binomial series1966

1939 W. W. R. Ball Math. Recreations & Ess. (ed. 11) ii. 59 The sums of consecutive triangular numbers are the tetrahedral numbers.

1983 Austral. Personal Computer IV. v. 103/1 The Tetrahedral Numbers..represent the number of identical spheres that can be stacked in a complete triangular pyramid, or tetrahedron.

Derivatives

tetraˈhedrally adv. in a tetrahedral manner or form.

ΘΚΠ

the world > relative properties > number > geometry > shape or figure > [adverb] > tetrahedrally

tetrahedrally1864

1864 Webster's Amer. Dict. Eng. Lang. (citing Dana) Tetrahedrally.

1882 S. H. Vines tr. J. von Sachs Text-bk. Bot. (ed. 2) 13 The four spores or pollen-grains do not lie in one plane but are arranged tetrahedrally, and have moreover a somewhat tetrahedral form.

tetraˈhedric adj. tetrahedral.

ΘΚΠ

the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > conical > pyramidal > tetrahedral

tetrahedral1794

tetrahedrical1860

tetrahedric1890

tetrahedrid1895

tetrahedroid1899

1890 Smithsonian Rep. 367 This latter [double linking] is an immediate consequence of the tetrahedric conception.

tetraˈhedrical adj. = tetrahedric adj.

ΘΚΠ

the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > conical > pyramidal > tetrahedral

tetrahedral1794

tetrahedrical1860

tetrahedric1890

tetrahedrid1895

tetrahedroid1899

1860 R. G. Mayne Expos. Lexicon Med. Sci. Tetrahedricus,..tetrahedrical.

1882 S. H. Vines tr. J. von Sachs Text-bk. Bot. (ed. 2) 438.

This entry has not yet been fully updated (first published 1911; most recently modified version published online March 2022).

单词	tetrahedral
释义	tetrahedraladj. Brit. /tɛtrəˈhiːdrəl/, /tɛtrəˈhɛdrəl/, U.S. /ˌtɛtrəˈhidrəl/ Forms: Also 1700s–1800s tetraedral. Etymology: < late Greek τετράεδρος (see tetrahedron n.) + -al suffix¹. 1. a. Having four sides (in addition to the base or ends); enclosed or contained laterally by four plane surfaces, as a tetrahedral prism or pyramid. tetrahedral angle, tetrahedral quoin, one bounded by four planes meeting at a common apex. ΘΚΠ the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > conical > pyramidal > tetrahedral tetrahedral1794 tetrahedrical1860 tetrahedric1890 tetrahedrid1895 tetrahedroid1899 1794 G. Adams Lect. Nat. & Exper. Philos. II. xiii. 43 The internal cavity is found to be lined with beautiful tetrahedral prisms. 1812 H. Davy Elements Chem. Philos. 124 Four particles may compose a tetrahedron, five a tetraedral pyramid, six an octaedron. 1828 J. Stark Elements Nat. Hist. II. 139 Body tetraedral, furrowed above. 1878 H. P. Gurney Crystallogr. 85 The tetrahedral quoins..of the rhombic dodecahedron. b. Quadrilateral, quadrangular. (Also in combinations.) ΚΠ 1816 W. Kirby & W. Spence Introd. Entomol. (1818) II. xxvii. 491 Cells with regular tetrahedral bottoms. 1816 W. Kirby & W. Spence Introd. Entomol. (1818) II. xxvii. 494 The tetrahedral-bottomed transition cells..still preserved their usual shape of hexagonal prisms. 2. Of or pertaining to a tetrahedron; having the form of a tetrahedron; spec. in Crystallography, belonging to a division of the isometric system of which the regular tetrahedron is the characteristic form. ΚΠ 1816 R. Jameson Treat. External Characters Minerals (ed. 2) 195 Tetrahedral, when the crystal has the regular tetrahedron as a secondary form. Example, Tetrahedral blende. 1876 J. Harley Royle's Man. Materia Med. (ed. 6) 369 The spores are minute, tetrahedral granules, each presenting four facets, and are minutely ridged by a hexagonal network. 1903 A. G. Bell in National Geographic Mag. June 225 The Tetrahedral principle in Kite Structure. When a tetrahedral frame is provided with aero-surfaces of silk or other material..it becomes a tetrahedral kite, or kite having the form of a tetrahedron. 3. Mathematics. tetrahedral numbers, the series of integers 1, 4, 10, 20,…, the nth member of which is the sum of the first n triangular numbers. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > series > infinite secundan1685 infinite series1706 Taylor('s) series1816 Maclaurin's series1881 power series1884 Fibonacci('s) series1891 Laurent's expansion1893 Fibonacci('s) numbers1914 majorant1925 tetrahedral numbers1939 Fibonacci('s) sequence1964 binomial series1966 1939 W. W. R. Ball Math. Recreations & Ess. (ed. 11) ii. 59 The sums of consecutive triangular numbers are the tetrahedral numbers. 1983 Austral. Personal Computer IV. v. 103/1 The Tetrahedral Numbers..represent the number of identical spheres that can be stacked in a complete triangular pyramid, or tetrahedron. Derivatives tetraˈhedrally adv. in a tetrahedral manner or form. ΘΚΠ the world > relative properties > number > geometry > shape or figure > [adverb] > tetrahedrally tetrahedrally1864 1864 Webster's Amer. Dict. Eng. Lang. (citing Dana) Tetrahedrally. 1882 S. H. Vines tr. J. von Sachs Text-bk. Bot. (ed. 2) 13 The four spores or pollen-grains do not lie in one plane but are arranged tetrahedrally, and have moreover a somewhat tetrahedral form. tetraˈhedric adj. tetrahedral. ΘΚΠ the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > conical > pyramidal > tetrahedral tetrahedral1794 tetrahedrical1860 tetrahedric1890 tetrahedrid1895 tetrahedroid1899 1890 Smithsonian Rep. 367 This latter [double linking] is an immediate consequence of the tetrahedric conception. tetraˈhedrical adj. = tetrahedric adj. ΘΚΠ the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > conical > pyramidal > tetrahedral tetrahedral1794 tetrahedrical1860 tetrahedric1890 tetrahedrid1895 tetrahedroid1899 1860 R. G. Mayne Expos. Lexicon Med. Sci. Tetrahedricus,..tetrahedrical. 1882 S. H. Vines tr. J. von Sachs Text-bk. Bot. (ed. 2) 438. This entry has not yet been fully updated (first published 1911; most recently modified version published online March 2022). < adj.1794
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