单词 | flexagon |
释义 | flexagonn. Mathematics. Originally: a strip of paper marked with equilateral triangles, alternately upright and inverted and each typically decorated with a pattern or colour, which can be folded into the shape of a regular hexagon in a number of different ways; a hexagon made in this way, which can be manipulated to display different faces in different combinations. In later use also: any regular polygon made in this way.A prefix is often used to specify the number of sides of a given flexagon, as in hexaflexagon, tetraflexagon. A further prefix is sometimes used to specify the number of faces the flexagon can display, as in hexahexaflexagon. ΚΠ 1954 Math. Gaz. 38 213 The Flexagon and the Hexahexaflexagram..are strips of paper, in the form of a row of equilateral triangles, which are joined end to end and can then be folded into the shape of a regular hexagon in several different ways. 1967 Elgin (Iowa) Echo 25 May 4/4 Many of the students then went into other math classes and conducted the class in making these flexagons. 1979 Amer. Math. Monthly 86 465 Other projects..would be to discover the traverse for larger hexaflexagons and for some of the tetraflexagons. Alan Moluf was very successful in building and V-flexing many different types of flexagons, including square ones. 1992 B. Bolt Math. Cavalcade 31 The flexagon can be ‘flexed’ into a new arrangement by pinching together two adjacent triangles and opening out the triangles from the centre to reveal a new face. 2010 European Jrnl. Combinatorics 31 79 When you have complete symmetry and translate any regular flexagon face by shifting all of the numbers circularly to the right 9n/3 times, you will return to the original face. This is a new entry (OED Third Edition, June 2014; most recently modified version published online March 2022). < n.1954 |
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