# \[ANN\] Grassmann.jl : Differential geometric algebra

**URL:** <https://discourse.julialang.org/t/ann-grassmann-jl-differential-geometric-algebra/21125>\
**Category:** Package Announcements\
**Tags:** package, announcement, differentiation, array, linearalgebra\
**Created:** [February 23, 2019, 9:55pm UTC](https://discourse.julialang.org/t/ann-grassmann-jl-differential-geometric-algebra/21125 "2019-02-23T21:55:49Z")\
**Posts on this page:** 4\
**Page:** 2

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**Author:** ![pontus](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/pontus/32/10438_2.png) [@pontus](https://discourse.julialang.org/u/pontus)\
**Post date:** [October 18, 2019, 5:50pm UTC](https://discourse.julialang.org/t/ann-grassmann-jl-differential-geometric-algebra/21125/21 "2019-10-18T17:50:25Z")

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As you are pioneering new solutions in the Geometric Algebra space, am reminded of a work of art by Hilma af Klint, a pioneer in Abtract Art. Note the resemblance to “Group V, The Seven-Pointed Star, No. 1n”, a piece from 1908 in the Guggenheim Museum:

> **[Hilma af Klint | Group V, The Seven-Pointed Star, No. 1n (Grupp V,...](https://www.artsy.net/artwork/hilma-af-klint-group-v-the-seven-pointed-star-no-1n-grupp-v-sjustjarnan-nr-1-from-the-wus-slash-seven-pointed-star-series-serie-wus-slash-sjustjarnan)**
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> From Guggenheim Museum, Hilma af Klint, Group V, The Seven-Pointed Star, No. 1n (Grupp V, Sjustjärnan, nr 1), from The WUS/Seven-Pointed Star Series (Ser…

(More info here if you wish: [How Hilma af Klint Invented Abstract Art | Artsy](https://www.artsy.net/article/artsy-editorial-swedish-mystic-hilma-af-klint-invented-abstract-art))

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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:** [October 29, 2019, 9:48pm UTC](https://discourse.julialang.org/t/ann-grassmann-jl-differential-geometric-algebra/21125/22 "2019-10-29T21:48:35Z")

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It’s also possible to work with `streamplot` using a new `vectorfield` outermorphism generator:

 ![Screenshot_2019-10-29_17-32-57](https://global.discourse-cdn.com/julialang/original/3X/d/e/def3eec591ccaf364a4c59182bc1ac1b405dc577.png)

This here is one snapshot of the same projective torus and helix topology based on bivectors.

Differential geometric algebra paper will be updated very soon in a few days with new info.

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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:** [November 1, 2019, 12:23am UTC](https://discourse.julialang.org/t/ann-grassmann-jl-differential-geometric-algebra/21125/23 "2019-11-01T00:23:28Z")

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Differential geometric algebra JuliaCon 2019 paper has been finalized and documentation updated:

![wave-c](https://sea2.discourse-cdn.com/julialang/images/transparent.png)

[![YouTube](https://img.shields.io/badge/JuliaCon%202019-YouTube-red)](https://www.youtube.com/watch?v=eQjDN0JQ6-s) [![DropBox](https://img.shields.io/badge/download_PDF-DropBox-blue.svg)](https://www.dropbox.com/sh/tphh6anw0qwija4/AAACiaXig5djrLVAKLPFmGV-a/Geometric-Algebra?preview=grassmann-juliacon-2019.pdf) [![BiVector](https://img.shields.io/badge/bivector.net-Discourse-blueviolet)](https://bivector.net)

v0.3.3 has been tagged [GitHub - chakravala/Grassmann.jl: ⟨Leibniz-Grassmann-Clifford⟩ multilinear differential geometric algebra](https://github.com/chakravala/Grassmann.jl)

Since it is halloween tonight, try out the new `skeleton`, `betti`, and `χ` methods for Morse theory.

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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:** [December 22, 2019, 2:28pm UTC](https://discourse.julialang.org/t/ann-grassmann-jl-differential-geometric-algebra/21125/24 "2019-12-22T14:28:55Z")

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Documentation website [https://grassmann.crucialflow.com](https://grassmann.crucialflow.com) has now been created for v0.4.0 release:

[![Docs Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://grassmann.crucialflow.com/stable) [![Docs Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://grassmann.crucialflow.com/dev) [![Gitter](https://badges.gitter.im/Grassmann-jl/community.svg)](https://gitter.im/Grassmann-jl/community?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge) [![BiVector](https://img.shields.io/badge/bivector.net-Discourse-blueviolet)](https://bivector.net)

New features include vastly improved performance for low dimensional algebras (for `ℝ^5` and less) and vastly improved performance of `exp` function for various special cases, +(many other improvements).

[Previous page](https://discourse.julialang.org/t/ann-grassmann-jl-differential-geometric-algebra/21125.md?page=1)