Venn diagram with increasing numbers of sides. They are also two-dimensional representations of hypercubes. Henry John Stephen Smith devised similar "n"-set diagrams using sine curves with the series of equations Charles Lutwidge Dodgson (aka Lewis Carroll) devised a five-set diagram known as Carroll's square. Joaquin and Boyles, on the other hand, proposed supplemental rules for the standard Venn diagram in able to account for certain problem cases. For instance, regarding the issue of representing singular statements, they suggest to consider the Venn diagram circle as a representation of a set of things, and use first-order logic and set theory to treat categorical
Neil Dodgson Neil Dodgson Neil Anthony Dodgson is Professor of Computer Graphics at the Victoria University of Wellington. He was previously (until 2016) Professor of Graphics and Imaging in the Computer Laboratory at the University of Cambridge in England, where he worked in the "Rainbow Group" on computer graphics and interaction. Dodgson graduated with a Bachelor of Science degree in Computer Science and Physics from Massey University in 1988 and subsequently worked there as a Junior Lecturer in Computer Science for one year. He was awarded a Cambridge Commonwealth Trust Prince of Wales Scholarship to study at the University of Cambridge, where