# The Aboulafia Graph Has Dihedral Symmetry

DevFeed: [The Aboulafia Graph Has Dihedral Symmetry](<https://devfeed.tech/articles/a-wheel-the-same-forwards-and-backwards-37562.md>)

Original publisher: [Read original article](<https://blog.klipse.tech/aboulafia/2026/07/06/a-wheel-the-same-forwards-and-backwards.html>)

Author: Yehonathan Sharvit

Published: 2026-07-06T10:00:00Z

Content type: article

Language: en

Sources: [Klipse](<https://devfeed.tech/sources/klipse.md>)

Topics: [Graphs](<https://devfeed.tech/topics/graphs.md>)

Tags: [aboulafia](<https://devfeed.tech/tags/aboulafia.md>), [graph](<https://devfeed.tech/tags/graph.md>), [math](<https://devfeed.tech/tags/math.md>), [mirror](<https://devfeed.tech/tags/mirror.md>), [rotation](<https://devfeed.tech/tags/rotation.md>), [series](<https://devfeed.tech/tags/series.md>), [symmetry](<https://devfeed.tech/tags/symmetry.md>)

## AI overview

The final article in a four-part series explains the dihedral symmetry of the Aboulafia graph. It connects the graph's recursive construction to a rotation and a reflection, and describes a proof that these are its only symmetries.

## Source excerpt

Aboulafia's Tserouf - Part 4 of 4 <- Previous: Too big to draw, but yet drawable