self-coincidencen.

Brit.

/ˌsɛlfkəʊˈɪnsᵻd(ə)ns/, U.S.

/ˌsɛlfˌkoʊˈɪnsəd(ə)ns/

Origin: Formed within English, by derivation. Etymons: self- prefix, coincidence n.

Etymology: < self- prefix + coincidence n.

1. Geometry. In a geometric figure: the fact or state of coinciding exactly with its former position and orientation following displacement, esp. by rotation or reflection. Cf. symmetry operation n. at symmetry n. Compounds 2.

ΘΚΠ

the world > relative properties > number > geometry > [noun] > geometrical property

duality1532

magnitude1570

solidity1570

order1706

symmetry1823

unicursality1887

self-coincidence1902

closure1905

non-orientability1938

1902 H. Hilton in London, Edinb., & Dublin Philos. Mag. 6th Ser. 3 212 In that case the operations referred to would not bring the axes of V⁶ into self-coincidence.

1966 J. H. Cadwell Topics in Recreational Math. xi. 117 A pattern is characterised by the set of isometric motions that bring it into self-coincidence, and this set forms a discrete group.

2008 S. K. Chatterjee Crystallogr. & World of Symmetry iii. 16 If..the diagram was a square, then the minimum angle through which it had to be rotated for self coincidence would be 90°.

2. Crystallography. In a crystalline structure: the state of appearing unchanged in orientation following displacement.

ΘΚΠ

the world > matter > chemistry > crystallography (general) > crystal (general) > crystal symmetry > [noun] > types of

orthosymmetry1878

trigonal symmetry1878

holosymmetry1895

tetartosymmetry1895

self-coincidence1904

1904 Knowledge June 110/1 Every molecule of the medium..is brought by certain so-called ‘movements’ into the position previously occupied by some other molecule of the medium (the medium is said to be ‘brought to self-coincidence’ by such a movement).

1969 T. Kovacs Princ. of X-ray Metall. i. 12 A body has rotational symmetry if rotating it around an axis brings it into self-coincidence.

2016 M. Lee X-ray Diffraction for Materials Res. ii. 38 The cubic crystal comes into self-coincidence when rotated through 120° about any of the triads.

This entry has been updated (OED Third Edition, January 2018; most recently modified version published online March 2022).

单词	self-coincidence
释义	self-coincidencen. Brit. /ˌsɛlfkəʊˈɪnsᵻd(ə)ns/, U.S. /ˌsɛlfˌkoʊˈɪnsəd(ə)ns/ Origin: Formed within English, by derivation. Etymons: self- prefix, coincidence n. Etymology: < self- prefix + coincidence n. 1. Geometry. In a geometric figure: the fact or state of coinciding exactly with its former position and orientation following displacement, esp. by rotation or reflection. Cf. symmetry operation n. at symmetry n. Compounds 2. ΘΚΠ the world > relative properties > number > geometry > [noun] > geometrical property duality1532 magnitude1570 solidity1570 order1706 symmetry1823 unicursality1887 self-coincidence1902 closure1905 non-orientability1938 1902 H. Hilton in London, Edinb., & Dublin Philos. Mag. 6th Ser. 3 212 In that case the operations referred to would not bring the axes of V⁶ into self-coincidence. 1966 J. H. Cadwell Topics in Recreational Math. xi. 117 A pattern is characterised by the set of isometric motions that bring it into self-coincidence, and this set forms a discrete group. 2008 S. K. Chatterjee Crystallogr. & World of Symmetry iii. 16 If..the diagram was a square, then the minimum angle through which it had to be rotated for self coincidence would be 90°. 2. Crystallography. In a crystalline structure: the state of appearing unchanged in orientation following displacement. ΘΚΠ the world > matter > chemistry > crystallography (general) > crystal (general) > crystal symmetry > [noun] > types of orthosymmetry1878 trigonal symmetry1878 holosymmetry1895 tetartosymmetry1895 self-coincidence1904 1904 Knowledge June 110/1 Every molecule of the medium..is brought by certain so-called ‘movements’ into the position previously occupied by some other molecule of the medium (the medium is said to be ‘brought to self-coincidence’ by such a movement). 1969 T. Kovacs Princ. of X-ray Metall. i. 12 A body has rotational symmetry if rotating it around an axis brings it into self-coincidence. 2016 M. Lee X-ray Diffraction for Materials Res. ii. 38 The cubic crystal comes into self-coincidence when rotated through 120° about any of the triads. This entry has been updated (OED Third Edition, January 2018; most recently modified version published online March 2022). < n.1902
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