Facets of the r-stable n,k-hypersimplex

Let $k, n$ and $r$ be positive integers with $k < n$ and $r\leq\lfloor\frac{n}{k}\rfloor$. We determine the facets of the $r$-stable $n,k$-hypersimplex. As a result, it turns out that the $r$-stable $n,k$-hypersimplex has exactly $2n$ facets for every $r<\lfloor\frac{n}{k}\rfloor$. We then utilize the equations of the facets to study when the $r$-stable hypersimplex is Gorenstein. For every $k>0$ we identify an infinite collection of Gorenstein $r$-stable hypersimplices, consequently expanding the collection of $r$-stable hypersimplices known to have unimodal Ehrhart $\delta$-vectors.Comment: 12 pages, 2 figure

Matošev Cvijet sa raskršća – alegorijom do konfiguracije sebstva

Flower from the Crossroads (1902) belongs to the group of Matoš’s symbolistic novellas, rendered by the symbolically coded title, teleogenetic plot, characters as personified abstractions, motive topography (path, crossroads, garden) and especially the name of the protagonist (Solus). The name Solus, as an autofictional figure, contains its own glossary and reading instructions towards the solipsistic narrative matrix, which is supported by the diegetic level of the story through unusual events bordering dream and reality. With the help of the basic guidelines of Paul Ricoeur on storytelling as a hermeneutical mediation of the self and narrative analysis of the story, the main question of the allegorical interpretation in this study is: which model of self is offered by the narrative identity of Solus?Flower from the Crossroads (1902) belongs to the group of Matoš’s symbolistic novellas, rendered by the symbolically coded title, teleogenetic plot, characters as personified abstractions, motive topography (path, crossroads, garden) and especially the name of the protagonist (Solus). The name Solus, as an autofictional figure, contains its own glossary and reading instructions towards the solipsistic narrative matrix, which is supported by the diegetic level of the story through unusual events bordering dream and reality. With the help of the basic guidelines of Paul Ricoeur on storytelling as a hermeneutical mediation of the self and narrative analysis of the story, the main question of the allegorical interpretation in this study is: which model of self is offered by the narrative identity of Solus