Towards Strongly Aperiodic Monotiles in Higher Dimensions 3MMFCTKPPJ

URI	`m2://res/3MMFCTKPPJ`
Kind	preprint
Creators	Dmitry Kamenetsky
Date	2026-10-01
MSC	51-XX, 52-XX, 05-XX, 37-XX
Subjects	arxiv math.MG, arxiv cs.CG, arxiv math.CO, arxiv math.DS
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
higher-dimensional polyhedral monotiles	conjecture	conjecture 9.2	arxiv
metric and boundary properties	statement	lemma 4.2	arxiv
self-similar marking of $C_4$	problem	problem 9.1	arxiv
rigidity of the 3D marking	statement	theorem B	arxiv
periodic, weakly and strongly aperiodic	definition	definition 3.1	arxiv
rep-$2^N$ dissection	statement	theorem 5.1	arxiv
finite certificate	statement	proposition 7.1	arxiv
verified matching rules for the 3D chair	statement	theorem A	arxiv
strong aperiodicity under hierarchical enforcement and lattice registration	statement	theorem 11.1	arxiv
XDEH0S27EB	definition	definition 4.1	arxiv
ZXEEJFP16C	statement	theorem A	arxiv