Editing Venn diagram (section)

===Other diagrams===
Edwards–Venn diagrams are [[topological equivalence|topologically equivalent]] to diagrams devised by [[Branko Grünbaum]], which were based around intersecting [[polygon]]s with increasing numbers of sides. They are also two-dimensional representations of [[hypercube]]s.

[[Henry John Stephen Smith]] devised similar ''n''-set diagrams using [[sine]] curves<ref name="Edwards_2004"/> with the series of equations
<math display="block">y_i = \frac{\sin\left(2^i x\right)}{2^i} \text{ where } 0 \leq i \leq n-1 \text{ and } i \in \mathbb{N}. </math>

[[Charles Lutwidge Dodgson]] (also known as Lewis Carroll) devised a five-set diagram known as [[Carroll's square (diagram)|Carroll's square]]. Joaquin and Boyles, on the other hand, proposed supplemental rules for the standard Venn diagram, in order 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 statements as statements about sets. Additionally, they propose to treat singular statements as statements about [[set membership]]. So, for example, to represent the statement "a is F" in this retooled Venn diagram, a small letter "a" may be placed inside the circle that represents the set F.<ref name="Joaquin_2017"/>