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Items from 1 to 20 out of 40 results

article

Tiling the Lateral Surface of the Concave Cupolae of the Second Sort

Marija Obradović

Nexus Network Journal > 2019 > 21 > 1 > 59-77

As architectural structures, concave cupolae of the second sort (CC II) are suitable for prefabrication, thanks to the uniformity of their elements—regular polygons. This paper discusses ways to subdivide the lateral polyhedral triangle (LPT) of CC II into new regular polygons, triangles and hexagons, which can then tile the whole deltahedral lateral surface, forming patterns applicable in architectural...

article

Performance evaluation of a novel solar air heater with arched absorber plate

Simarpreet Singh

Renewable Energy > 2017 > 114 > PB > 879-886

The study presents a performance evaluation of a novel solar air heating system with arched absorber plate using turbulators. Simulation work is carried out in ANSYS FLUENT (v16.2) platform with RNG k-ε turbulence model at constant heat flux (500 W m⁻²), in order to compare the thermal-hydraulic performance of the proposed design for a range of Reynolds number (3800–14000). Performance of the solar...

article

Nowe cechy równobocznych trójkątów

Michał Biesiada, Jan Górowski, Adam Łomnicki

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam... > 2014 > 6 > 5-18

In this paper the authors formulate and prove several conditions fortriangle to be equilateral. These conditions are associated with Gergonne,Nagel and Torricelli points and were obtained by composing and solvingthe so-called ‘enforcement tasks’. Both, the method and the results, can beused to trigger some mathematical student activities at different levels ofeducation or even some teacher activities.

chapter

Equilateral Polygons in Classical Logic Metric Space

Ming-Di Hu

Advances in Intelligent and Soft Computing > Quantitative Logic and Soft Computing 2010 > Quantitative Logic > 127-134

In the present paper, it is proved that some special graphs, such as equilateral polygons and right triangles, exist in the classical logic metric space. In addition, there are no equilateral triangles, length of whose lines is more than or equal to $\frac{2}{3}$ , while the ones, length of whose lines can be arbitrarily close to $\frac{2}{3}$ or zero, do exist in the classical logic metric space...

chapter

Symmetric wave solutions in equilateral triangular solid bars

Omar Asfar, Bruno Morvan

2016 IEEE International Ultrasonics Symposium (IUS) > 1 - 4

2016 IEEE International Ultrasonics Symposium (IUS)

Symmetric solutions of the problem of wave propagation in equilateral triangular waveguides are obtained by using a combination of three plane waves. The plane wave configuration is either a delta (Δ), with waves traveling parallel to the sides of the triangle, or a wye (Y) with waves traveling perpendicular to the sides. The Y configuration corresponds to the fields of a Dirichlet problem while the...

chapter

CPW-fed bull head shaped UWB antenna for WiMAX/WLAN with band-notched characteristics

Ravi Kumar Thakur, Ratnesh Kumar Pandey, T. Shanmuganantham

2016 International Conference on Circuit, Power and Computing Technologies (ICCPCT) > 1 - 4

2016 International Conference on Circuit, Power and Computing Technologies (ICCPCT)

In this paper a novel design concept, notch-band UWB printed antenna, fed by Coplanar Waveguide (CPW) has been proposed. All the analysis has been carried out using IE3D simulator. The Bull Head antenna is designed using FR4 with thickness of 0.8mm and dielectric constant of 4.2. This paper demonstrates a band-notched UWB antenna which is having rejection characteristics at 3.7GHz and 5.5GHz. Thus...

article

Morley’s Trisector Theorem

Roland Coghetto

Formalized Mathematics > 2015 > 23 > 2 > 75-79

Morley’s trisector theorem states that “The points of intersection of the adjacent trisectors of the angles of any triangle are the vertices of an equilateral triangle” [10]. There are many proofs of Morley’s trisector theorem [12, 16, 9, 13, 8, 20, 3, 18]. We follow the proof given by A. Letac in [15].

article

Geometry and Proportions in the Funeral Chapel of Sarenput II

Juan Antonio Martínez Hermoso, Fernando Martínez Hermoso, Francisco Paula Montes Tubío, Alejandro Jiménez Serrano

Nexus Network Journal > 2015 > 17 > 1 > 287-309

This paper analyzes the geometry and proportions of the funeral chapel of Sarenput II, built some 4,000 years ago in the necropolis of Qubbet el-Hawa in Egypt. The analysis is done with the utmost respect for ancient sources, and in particular for Egyptian mathematical knowledge. In a first general analysis, the different parts that make up the chapel are analysed in terms of both volume and surface...

article

Robust method for camera self-calibration by an unknown planar scene

A. Baataoui, N. El Akkad, A. Saaidi, K. Satori, more

Machine Graphics and Vision > 2014 > Vol. 23, No. 1/2 > 37--57

In this paper we present a self-calibration method for a CCD camera with varying intrinsic parameters based on an unknown planar scene. The advantage of our method is reducing the number of images (two images) needed to estimate the parameters of the camera used. Moreover, self-calibration equations are related to the number of points matched (very numerous and easy to detect) rather than to the number...

article

Distances of group tables and latin squares via equilateral triangle dissections

Michal Szabados

Journal of Combinatorial Theory, Series A > 2014 > 123 > 1 > 1-7

Denote by gdist(p) the least non-zero number of cells that have to be changed to get a latin square from the table of addition modulo p. A conjecture of Drápal, Cavenagh and Wanless states that there exists c>0 such that gdist(p)⩽clog(p). In this paper the conjecture is proved for c≈7.21, and as an intermediate result it is shown that an equilateral triangle of side n can be non-trivially dissected...

article

Tiling Convex Polygons with Congruent Equilateral Triangles

Eike Hertel, Christian Richter

Discrete & Computational Geometry > 2014 > 51 > 3 > 753-759

We study the sets $\mathcal{T}_{v}=\{m \in\{1,2,\ldots\}: \mbox{there is a convex polygon in }\mathbb{R}^{2}\mbox{ that has }v\mbox{ vertices and can be tiled with $m$ congruent equilateral triangles}\}$ , v=3,4,5,6. $\mathcal{T}_{3}$ , $\mathcal{T}_{4}$ , and $\mathcal{T}_{6}$ can be quoted completely. The complement $\{1,2,\ldots\} \setminus\mathcal{T}_{5}$ of $\mathcal{T}_{5}$ turns...

article

Nowe cechy równobocznych trójkątów

Michał Biesiada, Jan Górowski, Adam Łomnicki

Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam... > 2014 > 6 > 5-18

article

Compact equilateral triangular patch antenna with slot loading

Sanghamitra Dasgupta, Bhaskar Gupta, Hiranmoy Saha

Microwave and Optical Technology Letters > 56 > 2 > 268 - 274

This article presents a comparative study on the effects of different slot shapes on the size reduction of a microstrip patch antenna. The antenna investigated consists of a triangular shaped patch using air as substrate which is primarily used for cost effectiveness and ease of fabrication. At first, the effect of slot loading on the patch antenna for compactness is investigated using circular slots...

chapter

Camera calibration method based on a flexible spliced pattern of equilateral triangles

Wang Xiuping, Bai Ruilin, Guo Xinnian

2013 Chinese Automation Congress > 250 - 254

2013 Chinese Automation Congress (CAC)

This paper focuses on the study of 2D calibration method, involving a new planar pattern based on equilateral triangles, and a new camera calibration algorithm using the new pattern. Firstly, three triangles with same size and same color on the same plane, which side length can be any size, are spliced together to form a large equilateral triangle. Secondly, more than three pattern images are captured...

chapter

Optimal formation of robots by convex hull and particle swarm optimization

Jun Liu, Hongbin Ma, Xuemei Ren, Mengyin Fu

2013 IEEE Symposium on Computational Intelligence in Control and Automation (CICA) > 104 - 111

2013 IEEE Symposium on Computational Intelligence in Control and Automation (CICA)

Formation control problem has been extensively investigated in the literature of multi-agent systems, robotics, and control, etc. Our previous work mainly concentrated on the theoretic study of line formation with three robots, however, it is hard to handle with the formation problem whose number of robots is strictly larger than 3. In order to effectively overcome this problem, this paper incorporates...

article

A symmetric oxo-centered trinuclear chloroacetato bridged iron(III) complex: Structural, spectroscopic and electrochemical studies

Amit Kumar Dutta, Swarup Kumar Maji, Supriya Dutta

Journal of Molecular Structure > 2012 > 1027 > Complete > 87-91

An oxo-centred, carboxylate bridged trinuclear iron(III) complex [Fe ₃ (μ ₃ -O)(O ₂ CCH ₂ Cl) ₆ (H ₂ O) ₃ ]ClO ₄ ·9H ₂ O (1·9H ₂ O) has been synthesized and characterized on the basis of X-ray crystallography, elemental analysis, cyclic voltammetric, UV–vis and IR spectroscopic techniques. Molecular structure has been...

chapter

2D Shape Manipulation Using Equilateral Triangle Mesh

Yong Jie Shi, Dan Xu

2012 Fourth International Conference on Digital Home > 432 - 437

2012 4th International Conference on Digital Home (ICDH)

This paper presents an improved algorithm to achieve 2D image shape manipulation by real-time control. The shape is discretized as regular equilateral triangles mesh. User places handles on triangle vertices and manipulates the shape by dragging the handles to the desired positions. Meanwhile the concept of mesh-step is proposed to control mesh density. At last, based on the algorithm of Igarashi...

chapter

Indoor location algorithm on RFID and its improvement

Liu Yong, Yang Gong-jian

2011 3rd International Conference on Computer Research and Development > 2 > 56 - 59

2011 3rd International Conference on Computer Research and Development (ICCRD 2011)

LANDMARC nearest neighbor algorithm of RFID improves the precision positioning and needs to increase the number of the readers and the reference tags, thereby increasing the system cost. Based on the analysis of the nearest neighbor algorithm, an improved algorithm is proposed. The algorithm puts the three readers on the three vertices of the triangle,and three sides of the triangle is as the base...

article

Analytic solution of an exterior Neumann problem in a non‐convex domain

G. Baganis, M. Hadjinicolaou

Mathematical Methods in the Applied Sciences > 33 > 17 > 2067 - 2075

A new method, based on the Kelvin transformation and the Fokas integral method, is employed for solving analytically a potential problem in a non‐convex unbounded domain of ℝ², assuming the Neumann boundary condition. Taking advantage of the property of the Kelvin transformation to preserve harmonicity, we apply it to the present problem. In this way, the exterior potential problem is transformed...

chapter

Research of an Improved Weighted Centroid Localization Algorithm and Anchor Distribution

Qingru Kong, Xinyu Yang, Xiangjun Dai

2010 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery > 400 - 405

2010 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC)

Localization plays an important role in Wireless Sensor Networks. This paper proposed a weighted centroid localization algorithm based on received signal strength difference (RDWCL). RDWCL utilizes RSSI difference to calculate weight so as to improve localization precision and reduce the impact of anchor density and environment changing. Anchor distribution is also introduced and analyzed in this...

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TRÓJKĄT RÓWNOBOCZNY (4)
WIRELESS SENSOR NETWORKS (4)
ACCURACY (2)
ANGULAR COORDINATES (2)
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PROPORTION (2)
RATIO (2)
REFERENCE NODE SELECTION ALGORITHM (2)
SQUARE (2)
SYMMETRY (2)
TILING (2)
TORRICELLI POINT (2)
TRILATERATION (2)
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Search results

Tiling the Lateral Surface of the Concave Cupolae of the Second Sort

Performance evaluation of a novel solar air heater with arched absorber plate

Nowe cechy równobocznych trójkątów

Equilateral Polygons in Classical Logic Metric Space

Symmetric wave solutions in equilateral triangular solid bars

CPW-fed bull head shaped UWB antenna for WiMAX/WLAN with band-notched characteristics

Morley’s Trisector Theorem

Geometry and Proportions in the Funeral Chapel of Sarenput II

Robust method for camera self-calibration by an unknown planar scene

Distances of group tables and latin squares via equilateral triangle dissections

Tiling Convex Polygons with Congruent Equilateral Triangles

Nowe cechy równobocznych trójkątów

Compact equilateral triangular patch antenna with slot loading

Camera calibration method based on a flexible spliced pattern of equilateral triangles

Optimal formation of robots by convex hull and particle swarm optimization

A symmetric oxo-centered trinuclear chloroacetato bridged iron(III) complex: Structural, spectroscopic and electrochemical studies

2D Shape Manipulation Using Equilateral Triangle Mesh

Indoor location algorithm on RFID and its improvement

Analytic solution of an exterior Neumann problem in a non‐convex domain

Research of an Improved Weighted Centroid Localization Algorithm and Anchor Distribution

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