Linked to exceptional structure.

]]>added cross-link with *lattice (discrete subgroup)*

fixed capitalization throughout (notice that “Fields” in “Fields medal” is the name of a person: John Fields)

(but mundane events like “medals” are better listed on the author’s page, instead of on a mathematical page, I have moved the comment to *Maryna Viazovska*)

fixed spelling, readjusted wording and section headers

added the math formatting `$...$`

where missing and fixed it where present: notice that in a formula you don’t put every term into its own math environment inside a text line, but just enclose the whole formula in a single pair of `$...$`

merged the lines on sphere packings into a single subsection (now here) and adjusted the wording for clarity

added author, publisher and date to:

- Ursula Whitcher,
*Eight-dimensional spheres and the exceptional $E_8$*, AMS MathVoices Feature Column (Sep. 2022) [web]

(this exposition would be more pertinent at *sphere packing*, so I am copying it to there)

added pointer to the actual article being referred to:

- Maryna Viazovska,
*The sphere packing problem in dimension 8*, Annals of Mathematics,**185**3 (2017) 991-1015 [arXiv:1603.04246, doi:10.4007/annals.2017.185.3.7]

added redirect for “E8-lattice” (with the hyphen) so that the links long requested at *shere packing problem* now work

I made a page about the E8 lattice and its application in sphere packing

Jurre Put

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