What is an example of a [hypergraph](https://en.wikipedia.org/wiki/Hypergraph) $H=(V,E)$ with $|e|\geq \aleph\_0$ for all $e\in E$ and the property that $H\cong H^\*$ where $H^\*$ is the [dual hypergraph](https://en.wikipedia.org/wiki/Hypergraph#Terminology) of $H$?



Example of self-dual hypergraph with infinite edges
Let $V = \mathbb R$ and $E = \{(-\infty,r] : r \in \mathbb R\}$.


