Yisroel Loewy asks:
We learned that a Succah cannot have less than three walls but can it have more than four walls? Example: A Succah shaped like an octagon with eight walls.
Thank you,
Yisroel Loewy
The Kollel replies:
Yes, an octagonal Sukah would be Kosher.
The Shulchan Aruch (OC 634:2) says that a circular Sukah is Kosher as long as you can fit a seven by seven Tefachim square inside the Sukah (i.e. a Sukah with a minimum diameter of approximately 10 Tefachim (7x1.44)), and a circle, of course, is really just an infinite-sided regular polygon.
The Mishnah Berurah there says explicitly that a pentagonal or hexagonal etc. Sukah is also Kosher.
Kol Tuv,
Yonasan Sigler
This is not a Psak Halachah