We prove the Garden of Eden theorem for cellular automata with finite set of states and finite neighbourhood on right amenable left homogeneous spaces with finite stabilisers. It states that the global transition function of such an automaton is surjective if and only if it is preinjective. Pre-Injectivity means that two global configurations that differ at most on a finite subset and have the ...

We prove a converse to Myhill’s “Garden-of-Eden” theorem and obtain in this manner a characterization of amenability in terms of cellular automata: A group G is amenable if and only if every cellular automaton with carrier G that has gardens of Eden also has mutually erasable patterns. This answers a question by Schupp, and solves a conjecture by CeccheriniSilberstein, Mach̀ı and Scarabotti.

As previous years, Dip 5 will continue with the redefinition of what was formerly known as public space, trying to reactivate the physical realm of the common, nowadays kidnapped by economic and political agents. The origin of the word paradise gets back to ancient Persia, and to the Avestian term pairi-daêza, composed by pairi, "around" and diz "to construct", literally enclosed space, that wa...

landscape architect mohammad shaheer (1948-2015) was the principal consultant in the restoration of several historic gardens in india and afghanistan. this article presents his particular approaches and methods in three landscape restoration projects: humayun’s tomb gardens and sunder nursery central axis in delhi, and babur garden in kabul.shaheer had a deep understanding of persian garden and...

A garden-path sentence has temporary ambiguity that a reader or listener need to resolve. Prosody is well-known to have effects on sentence comprehension so it is expected that it will affect the interpretation of garden-path sentences. However, in an auditory comprehension test with natural speech, the garden-path effect may be unclear because a listener can typically resolve the ambiguity and...

This article summarizes a 2000 study of school garden programs and their variation and the impact of such variation on 427 third-grade students’ sense of responsibility and attitudes toward science and the environment. A teacher questionnaire was developed to gain insight into how teachers use school gardens with their students and in their curriculum. The information gathered from 28 third-gra...