In mathematical knot theory, 7₄ is the name of a 7-crossing knot which can be visually depicted in a highly-symmetric form, and so appears in the symbolism and/or artistic ornamentation of various cultures.

Visual representations

The interlaced version of the simplest form of the

Endless knot Endless knot in a Burmese Pali manuscript The endless knot or eternal knot is a symbolic knot and one of the Eight Auspicious Symbols. It is an important symbol in Hinduism, Jainism and Buddhism. It is an important cultural marker in place ...

symbol of Buddhism is

topological In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing ...

ly equivalent to the 7₄ knot (though it appears to have nine crossings), as is the interlaced version of the

unicursal hexagram The unicursal hexagram is a hexagram or six-pointed star that can be traced or drawn unicursally, in one continuous line rather than by two overlaid triangles. The hexagram can also be depicted inside a circle with the points touching it. It i ...

of occultism. (However, the endless knot symbol has more complex forms not equivalent to 7₄, and both the endless knot and unicursal hexagram can appear in non-interlaced versions, in which case they are not knots at all.) File:EndlessKnot03d.png, One form of the

of Buddhism File:Interwoven unicursal hexagram.svg, Interwoven

. File:Celtic-knot-linear-7crossings.svg, 7₄ knot in Celtic artistic form, also found in some Hausa embroideries.''Celtic Art: The Methods of Construction'' by George Bain, p. 27 () File:Logo of the National Coordination Commitee.svg, A 7₄ knot combined with the Syrian flag is used as a logo by the

National Coordination Committee for Democratic Change The National Coordination Committee for Democratic Change (NCC), or National Coordination Body for Democratic Change (NCB) ( ar, هيئة التنسيق الوطنية لقوى التغيير الديمقراطي ), is a Syrian bloc chaired by ...

Example

Sources

{{Knot theory Double torus knots and links