Results 261 to 270 of about 2,587 (298)

On limits of triply periodic minimal surfaces

Annali di Matematica Pura ed Applicata (1923 -), 2018
A minimal surface in \(\mathbb{R}^3\) is said to be periodic if it is connected and invariant under a group \(\Gamma\) of isometries of \(\mathbb{R}^3\) that acts properly discontinuously and freely. This paper under review is focussed on the triply periodic case, i.e., \(\Gamma\) is chosen to be a rank-three lattice in \(\mathbb{R}^3\).
Norio Ejiri, Shoichi Fujimori, Toshihiro Shoda   +2 more
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On Triply Periodic Minimal Balance Surfaces

Structural Chemistry, 2002
A strategy for finding all triply periodic minimal balance surfaces (TPMBS) will be sketched mainly on the basis of fundamental domains of space group pairs of index 2. Some possibilities are confirmed, but there is no TPMBS for the space group pair Ia\({\bar 3}\)/Pa\({\bar 3}\), as formerly conjectured.
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Negatively curved graphite and triply periodic minimal surfaces

Journal of Mathematical Chemistry, 1994
The Weierstrass representation has been used to construct negatively curved graphite in which atoms rest no a perfect triply periodic minimal surface. By applying the Bonnet transformation on a patch of the D surface decorated with graphite we have been able to construct the Gyroid and P minimal surfaces.
H. Terrones, A. L. Mackay
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Triply periodic minimal surfaces decorated with curved graphite

Chemical Physics Letters, 1993
Abstract Hypothetical negatively curved structures derived from graphite are described, in which all carbon atoms rest on triply periodic minimal surfaces (TPMS). The D minimal surface was calculated using the Weierstrass representation. By applying the Bonnet transformation to the D surface, the gyroid and P surfaces were constructed.
Humbeto Terrones, Alan L. Mackay
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Triply periodic minimal surface using a modified Allen–Cahn equation

Applied Mathematics and Computation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yibao, Guo, Shimin
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Architectural Envelope Systems Based on Triply Periodic Minimal Surfaces

International Journal of Space Structures, 2014
This paper presents the results of a research project, which explores Triply Periodic Minimal Surfaces (TPMS) as a source of inspiration for the design of interior architectural envelopes. TPMS are a large family of surfaces that are not yet fully discovered.
Fernando Sierra, Carolina M. Rodriguez
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Algorithmic Modelling of Triply Periodic Minimal Surface

2017
In the planning process design has always preceded the construction phase. The act of designing is an opportunity to organise one’s ideas, manage resources and predict results, and is made possible through the use of dedicated instruments. Pencils, pens, compasses and other simple instruments have slowly been refined, remaining largely unchanged over ...
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Surrogate Models of Stress for Triply Periodic Minimal Surface Lattices

Computer Methods in Applied Mechanics and Engineering
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sy Nguyen-Van, Guha Manogharan, Lan-Hsuan Huang, Julián A. Norato   +3 more
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Triply periodic minimal surface based lattices for acoustic performance

Noise & Vibration Worldwide
Environmental noise pollution is exacerbated by accelerated urbanization and different sources generate a unique sound spectrum. To address the aforementioned issue, triply periodic minimal surface acoustic absorbers were additively manufactured with three geometrical parameters (porosity, sample thickness, and wall thickness) patterns to absorb sound
Ganesh Chouhan, Prveen Bidare, Gunji Bala Murali   +2 more
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Triply Periodic Minimal Surfaces Lattice Neutronics Scoping Studies

2023
William Fritsch, Nicolas Martin
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