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单词 anallagmatic
释义

anallagmaticadj.

Brit. /ˌanəlaɡˈmatɪk/, U.S. /ˌænəˌlæɡˈmædɪk/
Origin: A borrowing from Greek, combined with English elements; modelled on a French lexical item. Etymons: an- prefix2, Greek ἀλλαγματ- , ἄλλαγμα , -ic suffix.
Etymology: < an- prefix2 + ancient Greek ἀλλαγματ-, ἄλλαγμα something given in exchange ( < the stem of ἀλλάσσειν to change, exchange (see allactite n.) + -μα : see -oma comb. form) + -ic suffix, after French anallagmatique (T. Moutard 1864, in Nouvelles ann. de math. 3 307).
Mathematics.
1. Of a surface or curve: not changed in form by inversion (inversion n. 23).Examples of anallagmatic curves are the cardioid and the Cartesian oval.
ΘΚΠ
the world > relative properties > number > geometry > surface > [adjective]
monoid1863
anallagmatic1869
scrolar1869
torsal1869
closed1882
vicinal1895
orientable1920
non-orientable1925
1869 Clifford Brit. Assoc. Rep. 8 On the Umbilici of Anallagmatic Surfaces.
1874 G. Salmon Treat. Analytic Geom. Three Dimensions (ed. 3) §516 A surface which is its own inverse with regard to any point has been called an anallagmatic surface.
1983 J. Glazebrook tr. E. Cartan Geom. Riemannian Spaces 158 Anallagmatic transformations are conformal transformations: they preserve angles.
1997 Computer Aided Geom. Design 14 350 We may also characterize the above general cyclides as those anallagmatic surfaces whose deferent is a central quadric.
2. Of a tessellation in which the cells are of one or other of two colours: such that placing any two columns, or any two rows, side by side results in half the adjacent cells having the same colour and half having different colours.
ΚΠ
1897 Nature 25 Mar. 494/1 At one time he [sc. J. J. Sylvester] was interested in the design of tessellated pavements; one anallagmatic design was..put down in the hall of the Junior United Service Club.
1959 J. Needham Sci. & Civilisation in China III. 111 Another, geometrical, puzzle, the rearrangements of a set of wooden pieces..is related to geometrical dissections, static games, anallagmatic tessellation, etc.
1990 Sciences Nov.–Dec. 53/2 In the 1890s..Jacques Hadamard studied a similarly unusual class of arrays called anallagmatic pavements, now known as Hadamard squares.
This entry has been updated (OED Third Edition, November 2010; most recently modified version published online December 2021).
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adj.1869
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