title: Separation of variables on n-dimensional Riemannian manifolds. I. The n-sphere Sn and Euclidean n-space Rn

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: The following problem is solved: What are all the ``different'' separable coordinate systems for the Laplace–Beltrami eigenvalue equation on the n-sphere Sn and Euclidean n-space Rn and how are they constructed? This is achieved through a combination of differential geometric and group theoretic methods. A graphical procedure for construction of these systems is developed that generalizes Vilenkin's construction of polyspherical coordinates. The significance of these results for exactly soluble dynamical systems on these manifolds is pointed out. The results are also of importance for the analysis of the special functions appearing in the separable solutions of the Laplace–Beltrami eigenvalue equation on these manifolds.

text: Separation of variables on n-dimensional Riemannian manifolds. I. The n-sphere Sn and Euclidean n-space Rn The following problem is solved: What are all the ``different'' separable coordinate systems for the Laplace–Beltrami eigenvalue equation on the n-sphere Sn and Euclidean n-space Rn and how are they constructed? This is achieved through a combination of differential geometric and group theoretic methods. A graphical procedure for construction of these systems is developed that generalizes Vilenkin's construction of polyspherical coordinates. The significance of these results for exactly soluble dynamical systems on these manifolds is pointed out. The results are also of importance for the analysis of the special functions appearing in the separable solutions of the Laplace–Beltrami eigenvalue equation on these manifolds.

year: 1986-07

title: Thermoplastic composites in sustainable construction: Topology optimisation and additive manufacturing for a recyclable and modular building system

authors: Allouche, William

subjects: Additive Manufacturing

abstract: Despite the significant environmental impact of the building sector, sustainable building practices are yet to be widely adopted. This paper describes a practical approach based on computational design and additive manufacturing (AM) to generate modular and structural walls, following design for disassembly and recyclability principles. In this research, the anisotropy of recyclable
short-fibre reinforced thermoplastic (SFRTP) composites is utilised. The proposed methodology involves starting from the building’s typology and using topology optimisation (TO) as a form-finding tool in the design of structural wall modules. The finite element analyses (FEA) guiding the TO are based on conventional building-codes used for load calculations. The TO-defined modules are then further optimised in stiffness by matching the principal stress directions with the AM printing path. Two case studies, the ground floor of a 3-storey building and a bus shelter, are used to illustrate the outcome of the approach. This comprehensive workflow generates structural elements with built-in optimised and tailored performance while enabling unique geometries that combine structural efficiency with architectural creativity.

text: Thermoplastic composites in sustainable construction: Topology optimisation and additive manufacturing for a recyclable and modular building system Despite the significant environmental impact of the building sector, sustainable building practices are yet to be widely adopted. This paper describes a practical approach based on computational design and additive manufacturing (AM) to generate modular and structural walls, following design for disassembly and recyclability principles. In this research, the anisotropy of recyclable
short-fibre reinforced thermoplastic (SFRTP) composites is utilised. The proposed methodology involves starting from the building’s typology and using topology optimisation (TO) as a form-finding tool in the design of structural wall modules. The finite element analyses (FEA) guiding the TO are based on conventional building-codes used for load calculations. The TO-defined modules are then further optimised in stiffness by matching the principal stress directions with the AM printing path. Two case studies, the ground floor of a 3-storey building and a bus shelter, are used to illustrate the outcome of the approach. This comprehensive workflow generates structural elements with built-in optimised and tailored performance while enabling unique geometries that combine structural efficiency with architectural creativity.

year: 2025

title: Alternative anthropologies: Kete aronui from the Waikato

authors: McCormack, Fiona

abstract: As three anthropologists working at the University of Waikato in Hamilton, Aotearoa (New Zealand), we experience anthropology in our daily work in the context of our local histories, communities and politics. While many anthropologists are familiar with the critiques of anthropology that play out in the USA or Europe, the narratives and practices of anthropology from places such as New Zealand are less well known. We argue that these local, diverse experiences of anthropology can enlarge our international understandings and imaginations of what anthropology can be, as well as the challenges it may face.

Anthropologists working in New Zealand today face the same plethora of academic pressures as those found in their counterparts in North America, Britain and Europe; pressures instigated by decades of neoliberal reform, managerialism, and the impact of new entrepreneurial and corporate models of universities that shape everyday identities and social relationships (Shore 2010). Similarly, the critique of anthropology as a discipline rooted in colonial imperatives and practices, resounds in a society whose imperial history and settler colonial present continues to imprint on educational institutions, pedagogy and research. In New Zealand, no neat historical trajectory marks a path from extractive research, wherein Indigenous knowledge and ways of life are pottled for export to the empire’s core, to one based on mutuality, co-creation and the indigenisation of anthropological knowledge.

text: Alternative anthropologies: Kete aronui from the Waikato As three anthropologists working at the University of Waikato in Hamilton, Aotearoa (New Zealand), we experience anthropology in our daily work in the context of our local histories, communities and politics. While many anthropologists are familiar with the critiques of anthropology that play out in the USA or Europe, the narratives and practices of anthropology from places such as New Zealand are less well known. We argue that these local, diverse experiences of anthropology can enlarge our international understandings and imaginations of what anthropology can be, as well as the challenges it may face.

Anthropologists working in New Zealand today face the same plethora of academic pressures as those found in their counterparts in North America, Britain and Europe; pressures instigated by decades of neoliberal reform, managerialism, and the impact of new entrepreneurial and corporate models of universities that shape everyday identities and social relationships (Shore 2010). Similarly, the critique of anthropology as a discipline rooted in colonial imperatives and practices, resounds in a society whose imperial history and settler colonial present continues to imprint on educational institutions, pedagogy and research. In New Zealand, no neat historical trajectory marks a path from extractive research, wherein Indigenous knowledge and ways of life are pottled for export to the empire’s core, to one based on mutuality, co-creation and the indigenisation of anthropological knowledge.

year: 2025