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On the Centroids of Polygons and Polyhedra
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In this article, the centroid of any finite set of po ints of the space is introduced and some general properties of centroids are applied to different types of polygons and polyhedra.Abstract:
In this paper we introduce the centroid of any finite set of po ints of the space and we find some general properties of centroids. Th ese properties are then applied to different types of polygons and polyhedra.read more
Citations
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Journal ArticleDOI
Introduction to Geometry. By H. S. M. Coxeter. Pp. xiv, 443. 1961. (John Wiley)
Journal ArticleDOI
Analogy and Dynamic Geometry System Used to Introduce Three-Dimensional Geometry
TL;DR: In this paper, a sequence of classroom activities on Euclidean geometry, both plane and space geometry, used to make three dimensional geometry more catchy and simple is presented, consisting of a guided research activity that leads the students to discover unexpected properties of two apparently distant geometrical entities, quadrilaterals and tetrahedra.
Journal ArticleDOI
Quadrilaterals and Tetrahedra.
TL;DR: In this paper, the existence of an analogy between quadrilaterals and tetrahedra has been investigated and some properties that hold for both families of figures have been shown.
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Generalised Voronoi tessellation for generating microstructural finite element models with controllable grain-size distributions and grain aspect ratios
TL;DR: In this paper, a generalised Voronoi tessellation is proposed to create three-dimensional microstructural finite element model, which can effectively reproduce the grain size distribution and grain aspect ratio obtained from experiments.
References
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Book
Introduction to Geometry
TL;DR: In this paper, the authors describe the topology of surfaces in the Euclidean plane, including the Golden Section and Phyllotaxis, as well as the five Platonic solids.
Journal ArticleDOI
Introduction to Geometry. By H. S. M. Coxeter. Pp. xiv, 443. 1961. (John Wiley)
Book
Episodes in Nineteenth and Twentieth Century Euclidean Geometry
TL;DR: The Miquel theorem of Menelaus as mentioned in this paper is a theorem of menelaus that states that the Tucker circle is a property of triangles and the Fuhrmann circle of quadrilaterals.