To save content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about saving content to .
To save content items to your Kindle, first ensure firstname.lastname@example.org
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
In this paper, we study two kinds of combinatorial
objects, generalized integer partitions and tilings of 2D-gons
(hexagons, octagons, decagons, etc.).
We show that the sets of partitions,
ordered with a simple dynamics, have the distributive lattice structure.
Likewise, we show that the set of tilings of a 2D-gon
is the disjoint union of distributive
lattices which we describe.
We also discuss the special case of linear integer
partitions, for which other dynamical models exist.
Email your librarian or administrator to recommend adding this to your organisation's collection.