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Leonardo, 1974
Models of the regular and semi-regular polyhedral solids have fascinated people for centuries. The Greeks knew the simplest of them. Since then the range of figures has grown; 75 are known today and are called, more generally, 'uniform' polyhedra. The author describes simply and carefully how to make models of all the known uniform polyhedra and some ...
Arthur L. Loeb, Magnus J. Wenninger
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Models of the regular and semi-regular polyhedral solids have fascinated people for centuries. The Greeks knew the simplest of them. Since then the range of figures has grown; 75 are known today and are called, more generally, 'uniform' polyhedra. The author describes simply and carefully how to make models of all the known uniform polyhedra and some ...
Arthur L. Loeb, Magnus J. Wenninger
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Polyhedrons and Quasi-polyhedrons
2015In elementary geometry, a polyhedron (plural polyhedra or polyhedrons) is a body in three dimensions with flat faces, straight edges and sharp corners or vertices. The word “polyhedron” comes from the Classical Greek as poly- (“many”) and -hedron (form of “base” or “seat”).
S. N. Krivoshapko, V. N. Ivanov
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POLYHEDRON DISTORTIONS IN TOURMALINE
The Canadian Mineralogist, 2002Distortion parameters [?, s2, DI(Y-O), DI(O-Y-O), DI(O-O)] have been calculated for cation polyhedra in tourmalines of different chemical compositions. Tourmalines with greater amounts of small, highly charged ions in the YO6 octahedron display greater bond-length distortion in Y. The size and charge of the occupants at the Y site have been included in
Ertl, Andreas +6 more
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2015 IEEE 4th Global Conference on Consumer Electronics (GCCE), 2015
In this study, we developed an audio system that is made up of speaker system of regular polyhedron enclosure, and multi channel digital audio amplifier. The speaker system has loudspeaker units that are independently wired out of the enclosure, and are controlled independently. The amplifier can control their output timing and amplitudes independently
Mitsugu Suzuki +2 more
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In this study, we developed an audio system that is made up of speaker system of regular polyhedron enclosure, and multi channel digital audio amplifier. The speaker system has loudspeaker units that are independently wired out of the enclosure, and are controlled independently. The amplifier can control their output timing and amplitudes independently
Mitsugu Suzuki +2 more
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Canadian Journal of Mathematics, 1983
1. Introduction. Let P be a polyhedron (i.e., a 3-dimensional polytope). A path in P is defined as a sequence of edges (x1, x2), …, (xi−1, xi), (xi, xi−1), …, (xn−1, xn) where (xi, xi+1) denotes the edge with endpoints Xi and Xi+1. Define the length |A| of a path A to be the number of edges of said path. The distance between any two vertices x and y of
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1. Introduction. Let P be a polyhedron (i.e., a 3-dimensional polytope). A path in P is defined as a sequence of edges (x1, x2), …, (xi−1, xi), (xi, xi−1), …, (xn−1, xn) where (xi, xi+1) denotes the edge with endpoints Xi and Xi+1. Define the length |A| of a path A to be the number of edges of said path. The distance between any two vertices x and y of
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Zeitschrift für Kristallographie - Crystalline Materials, 2012
Abstract We derive multi-bladed polyhedron propellers after a new principle. The remarkable structures of Coxsackievirus a21 and Human Rhinovirus Complexed with ICAM-1 are given as examples.
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Abstract We derive multi-bladed polyhedron propellers after a new principle. The remarkable structures of Coxsackievirus a21 and Human Rhinovirus Complexed with ICAM-1 are given as examples.
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The Continuous Mixing Polyhedron
Mathematics of Operations Research, 2005We analyze the polyhedral structure of the sets PCMIX = {(s, r, z) ∈ R × R+n × Zn ∣ s + rj + zj ≥ fj, j = 1, …, n} and P+CMIX = PCMIX ∩ {s ≥ 0}. The set P+CMIX is a natural generalization of the mixing set studied by Pochet and Wolsey [15, 16] and Günlük and Pochet [8] and recently has been introduced by Miller and Wolsey [12].
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Polyhedron‐Like Biomaterials for Innervated and Vascularized Bone Regeneration
Advanced Materials, 2023Chengtie Wu
exaly