McLaren's improved snub cube and other new spherical designs in three dimensions
From MaRDI portal
Publication:1913694
DOI10.1007/BF02711518zbMath0858.05024arXivmath/0207211OpenAlexW1985132689MaRDI QIDQ1913694
Publication date: 23 March 1997
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0207211
Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Applications of design theory to circuits and networks (94C30)
Related Items
An Allen-Cahn approach to the remodelling of fibre-reinforced anisotropic materials, Approximate \(I\)-optimal designs for polynomial models over the unit ball, A new approach to the construction of optimal designs, Explicit spherical designs, Construction of spherical cubature formulas using lattices, Polynomial designs. II : Some existence results of exact rotatable spherical designs, Spherical $t_\epsilon $-designs for approximations on the sphere, The spherical design algorithm in the numerical simulation of biological tissues with statistical fibre-reinforcement, Numerical verification methods for spherical \(t\)-designs, Some constructions of spherical 5-designs, Distributing many points on a sphere, On a molecular statistical basis for Ogden's model of rubber elasticity, Remarks on Hilbert identities, isometric embeddings, and invariant cubature, A component-by-component approach to efficient numerical integration over products of spheres, Optimal asymptotic bounds for spherical designs, Three-point bounds for energy minimization, Estimating the Shannon Entropy and (Un)certainty Relations for Design-Structured POVMs, Multi-scale structural modeling of soft tissues mechanics and mechanobiology, Point sets on the sphere \(\mathbb{S}^{2}\) with small spherical cap discrepancy, Univariate Gauss quadrature for structural modelling of tissues and materials with distributed fibres, Computational existence proofs for spherical \(t\)-designs, Spherical Framelets from Spherical Designs, Non-Darcian flow in fibre-reinforced biological tissues, Efficient Spherical Designs with Good Geometric Properties, Weighted complex projective 2-designs from bases: Optimal state determination by orthogonal measurements, Numerical integration with polynomial exactness over a spherical cap, On the computation of spherical designs by a new optimization approach based on fast spherical Fourier transforms, The Coulomb energy of spherical designs on \(S^{2}\), Spherical \((t,t)\)-designs with a small number of vectors, Porosity and Diffusion in Biological Tissues. Recent Advances and Further Perspectives, Biangular lines revisited, Optimal finite measurements and Gauss quadratures, Asymptotic Properties of the Approximate Inverse Estimator for Directional Distributions, Efficient evaluation of the material response of tissues reinforced by statistically oriented fibres, Polynomial designs. I: Polynomial characterizations of common properties of a design, Well-separated spherical designs, Quadrature rules with neighborhood of spherical designs on the two-sphere, A method for proving nonexistence of spherical designs of odd strength and odd cardinality, On the constitutive modelling of recruitment and damage of collagen fibres in soft biological tissues, Polynomial techniques for investigation of spherical designs, Bounds on antipodal spherical designs with few angles, The \(s\)-energy of spherical designs on \(S^{2}\), Spherical half-designs of high order, A variational characterisation of spherical designs, A survey on spherical designs and algebraic combinatorics on spheres, Distinguishability of quantum states under restricted families of measurements with an application to quantum data hiding, Fullerenes and coordination polyhedra versus half-cube embeddings, Reliability analysis of discrete-state performance functions via adaptive sequential sampling with detection of failure surfaces, Yet another fast multipole method without multipoles -- pseudoparticle multipole method, Distributing many points on spheres: minimal energy and designs, Rényi formulation of uncertainty relations for POVMs assigned to a quantum design, Anticoherent spin-2 states and spherical designs
Uses Software
Cites Work
- A construction of spherical 2-design
- Construction of designs on the 2-sphere
- New spherical 4-designs
- Spherical codes and designs
- Tight spherical designs. I
- A new approach to the construction of optimal designs
- Some constructions of spherical 5-designs
- `` Direct Search Solution of Numerical and Statistical Problems
- Tight Spherical Disigns, II
- Sums of even powers of real linear forms
- Algorithm 681: INTBIS, a portable interval Newton/bisection package
- Spherical faraday cage for the case of equal point charges and chebyshev-type quadrature on the sphere
- Optimal Numerical Integration on a Sphere
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item