Results 91 to 100 of about 419,418 (274)

Golden ratios, Lucas Sequences and the Quadratic Family

, 2019
It is conjectured that there is a converging sequence of some generalized Fibonacci ratios, given the difference between consecutive ratios, such as the Golden Ratio, $\varphi^1$, and the next golden ratio $\varphi^2$.
Tapia, Arturo Ortiz
core  

Golden ratio nets and sequences

Functiones et Approximatio Commentarii Mathematici
In this paper we introduce and study nets and sequences constructed in an irrational base, focusing on the case of a base given by the golden ratio $ϕ$. We provide a complete framework to study equidistribution properties of nets in base $ϕ$, which among other things requires the introduction of a new concept of prime elementary intervals which differ ...
Kirk, Nathan, Lemieux, Christiane, Wiart, Jaspar   +2 more
openaire   +2 more sources

New “golden” ratios for facial beauty

Vision Research, 2010
In four experiments, we tested the existence of an ideal facial feature arrangement that could optimize the attractiveness of any face given its facial features. Participants made paired comparisons of attractiveness between faces with identical facial features but different eye-mouth distances and different interocular distances.
Pallett, Pamela M., Link, Stephen, Lee, Kang   +2 more
openaire   +2 more sources

Advancing Research on Biomaterials and Biological Materials with Scanning Electron Microscopy under Environmental and Low Vacuum Conditions

Advanced Engineering Materials, EarlyView.
Herein, environmental scanning electron microscopy (ESEM) is discussed as a powerful extension of conventional SEM for life sciences. By combining high‐resolution imaging with variable pressure and humidity, ESEM allows the analysis of untreated biological materials, supports in situ monitoring of hydration‐driven changes, and advances the functional ...
Jendrian Riedel, Lea Dierker, Antoine Eyram Kwame, Kim Nora Wagner, Jonas J. Unterholzner, Jan‐Henning Dirks, Dorothea Brüggemann   +6 more
wiley   +1 more source

Cabinet of Curiosities: The Interesting Geometry of the Angle β = arccos ((3ϕ − 1)/4)

Fractal and Fractional, 2019
In this paper, we present the construction of several aggregates of tetrahedra. Each construction is obtained by performing rotations on an initial set of tetrahedra that either (1) contains gaps between adjacent tetrahedra, or (2) exhibits an aperiodic ...
Fang Fang, Klee Irwin, Julio Kovacs, Garrett Sadler   +3 more
doaj   +1 more source

Golden ratio algorithms for variational inequalities [PDF]

Mathematical Programming, 2019
The paper presents a fully explicit algorithm for monotone variational inequalities. The method uses variable stepsizes that are computed using two previous iterates as an approximation of the local Lipschitz constant without running a linesearch. Thus, each iteration of the method requires only one evaluation of a monotone operator $F$ and a proximal ...
openaire   +3 more sources

Unidirectional Tape‐Based Composites from Hemp and Pineapple Leaf Fiber: Mechanical Performance in Conventional and Bio‐Based Matrices

Advanced Engineering Materials, EarlyView.
The study investigates novel semi‐finished products made of unidirectionally arranged hemp or pineapple leaf fiber‐reinforced composites produced from different matrices. The materials are analyzed in terms of their mechanical and interfacial properties and void content.
Nina Graupner, Raja Bade, Valentin Ackermann, Roja M. Baumann, Corvin Bischoff, Jona F. Ebeling, Oskar Glenz, Marlo Groh, Jonathan Groth, Finja Hiller, Tom Hirschmüller, Felix Menke, Syntcha Ngantchou Lecdou, Mika Ohler, Daniel Rafii Vardiny, Darius Richter, Dario Röper, Henrik Schumacher, Theresa Stein, Benjamin Vorbeck, Elisabeth Wermter, Kay Kölzig, Jörg Müssig   +22 more
wiley   +1 more source

Electrical Conductivities of Conductors, Semiconductors, and Their Mixtures at Elevated Temperatures

Advanced Engineering Materials, EarlyView.
This article presents a comprehensive review of temperature‐dependent electrical conductivity data for multiple material classes at elevated temperatures, highlighting a persistent conductivity gap between metals and semiconductors in the range of 102$\left(10\right)^{2}$– 107$\left(10\right)^{7}$ S/m. Metal–ceramic irregular metamaterials are proposed
Valentina Torres Nieto, Marcia A. Cooper
wiley   +1 more source

On‐Demand Activation of Thin Alginate Shell Encapsulated Volatile Liquid for Untethered Pneumatic Soft Actuation

Advanced Engineering Materials, EarlyView.
Phase‐changing liquids enable untethered pneumatic actuation in soft robotics but suffer from volatility and storage challenges. This work reports a simple method to encapsulate Novec 7000 within micron‐thin alginate shells via in situ injection and ionic crosslinking.
Rayan A. M. Basodan, Jack Keddie, Byoungyoul Park, Hyun‐Joong Chung   +3 more
wiley   +1 more source

Human permanent teeth are divided into two parts at the cemento-enamel junction in the divine golden ratio

Indian Journal of Dental Research, 2017
Aim: The aim of this study is to find out whether tooth length (crown length + root length) follows the rule of most divine and mysterious phi (ϕ) or the golden ratio. Methods: A total of 140 teeth were included in the study.
Rahul Anand, Sachin C Sarode, Gargi S Sarode, Shankargouda Patil   +3 more
doaj   +1 more source