Thackeray, Henry (Maya) Robert2022-05-092021-11Thackeray, H.R. 2021, 'The cap set problem and standard diagrams', Discrete Mathematics, vol. 344, no. 11, art. 112558, pp. 1-28, doi : 10.1016/j.disc.2021.112558.0012-365X (print)1872-681X (online)10.1016/j.disc.2021.112558https://repository.up.ac.za/handle/2263/85152Please read abstract in the article.en© 2021 Elsevier. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Discrete Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Discrete Mathematics, vol. 344, no. 11, art. 112558, pp. 1-28, 2021. doi : 10.1016/j.disc.2021.112558.CapCap setCombinatoricsAffine spaceProjective spacePostprint Article