5,939 research outputs found

    Hexagonal Tilings: Tutte Uniqueness

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    We develop the necessary machinery in order to prove that hexagonal tilings are uniquely determined by their Tutte polynomial, showing as an example how to apply this technique to the toroidal hexagonal tiling.Comment: 12 figure

    Hexagonal Tilings and Locally C6 Graphs

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    We give a complete classification of hexagonal tilings and locally C6 graphs, by showing that each of them has a natural embedding in the torus or in the Klein bottle. We also show that locally grid graphs are minors of hexagonal tilings (and by duality of locally C6 graphs) by contraction of a perfect matching and deletion of the resulting parallel edges, in a form suitable for the study of their Tutte uniqueness.Comment: 14 figure

    Rotation curves and metallicity gradients from HII regions in spiral galaxies

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    In this paper we study long slit spectra in the region of Hα\alpha emission line of a sample of 111 spiral galaxies with recognizable and well defined spiral morphology and with a well determined environmental status, ranging from isolation to non-disruptive interaction with satellites or companions. The form and properties of the rotation curves are considered as a function of the isolation degree, morphological type and luminosity. The line ratios are used to estimate the metallicity of all the detected HII regions, thus producing a composite metallicity profile for different types of spirals. We have found that isolated galaxies tend to be of later types and lower luminosity than the interacting galaxies. The outer parts of the rotation curves of isolated galaxies tend to be flatter than in interacting galaxies, but they show similar relations between global parameters. The scatter of the Tully-Fisher relation defined by isolated galaxies is significantly lower than that of interacting galaxies. The [NII]/Hα\alpha ratios, used as metallicity indicator, show a clear trend between Z and morphological type, t, with earlier spirals showing larger ratios; this trend is tighter when instead of t the gradient of the inner rotation curve, G, is used; no trend is found with the interaction status. The Z-gradient of the disks depends on the type, being almost flat for early spirals, and increasing for later types. The [NII]/Hα\alpha ratios measured for disk HII regions of interacting galaxies are higher than for normal/isolated objects, even if all the galaxy families present similar distributions of Hα\alpha Equivalent Width.Comment: accepted for publication in A&A (tables for HII region parameters incomplete, contact [email protected] for the whole set of tables

    Tunable BODIPY derivatives amenable to "click" and peptide chemistry

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    Novel azido- and amino- functionalised fluorescent probes based on the BODIPY framework have been developed. The probes can be easily and cheaply synthesised, exhibit the highly desirable BODIPY fluorescent properties, and are amenable to “click” and peptide chemistry methodologies. These probes provide a stable and readily available tool amenable for the visualisation of both solution and solid supported events

    Literacies of the Heart and Antiracist Pedagogy

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    Challenging structural violence is a major project of our time. The massive Black Lives Matter (BLM) uprisings of Summer 2020 brought greater awareness of the systemic racism of universities and a commitment to challenge it. A Marxist-humanist lens recognizes racism as foundational to the racial-colonial capitalist patriarchy and the university as deeply implicated in the development and maintenance of these structures. While all these interlocking oppressions must be eradicated, in the US, racism has historically galvanized more people to action. For this we need a populace with critical literacy to connect their daily oppressions to structural forces. Critical literacy also encourages us to listen to the Oppressed whose “Reason and force” may prove useful toward our liberation. A critical literacy of the heart, drawing of Paulo Freire, is one that challenges us to transform structures of oppression through humanizing antiracist pedagogy. The bulk of the paper is drawn from a duoethnography of two Latina instructors. The stories shared offer insights into the deep-seeded racist policies and practices in education and the complexity of challenging these. We argue that such complexity calls for an intentional antiracist pedagogy of “other doing” that goes against the “commonsense” of our society
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