# ★ is not an operator

**URL:** <https://discourse.julialang.org/t/is-not-an-operator/20221>\
**Category:** General Usage\
**Tags:** question\
**Created:** [January 29, 2019, 8:47am UTC](https://discourse.julialang.org/t/is-not-an-operator/20221 "2019-01-29T08:47:25Z")\
**Posts on this page:** 1\
**Showing post:** 6

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**Author:** ![chakravala](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/chakravala/32/6832_2.png) [@chakravala](https://discourse.julialang.org/u/chakravala)\
**Post date:** [January 29, 2019, 9:41am UTC](https://discourse.julialang.org/t/is-not-an-operator/20221/6 "2019-01-29T09:41:10Z")

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The ★ operator is actually a _unary_ operator in mathematics, and not a _binary_ infix operator

> **[Hodge star operator](https://en.wikipedia.org/wiki/Hodge_star_operator)**
>
> In mathematics, the Hodge star operator or Hodge star is a linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed with a nondegenerate symmetric bilinear form. Applying the operator to an element of the algebra produces the Hodge dual of the element. This map was introduced by W. V. D. Hodge.
> For example, in an oriented 3-dimensional Euclidean space, an oriented plane can be represented by the exterior product of two basis vectors, and its Hodge dual i...

This is a method which I intend to implement for [Grassmann.jl](https://github.com/chakravala/Grassmann.jl)

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