Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho

Rian, Iasef Md; Park, Jinho; Ahn, Hyung Uk; Chang, Dongkuk

doi:10.1016/j.buildenv.2007.01.028

Cited by 40 publications

(30 citation statements)

References 3 publications

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“…In this article, vastu purusha mandala (VPM) fractal geometry‐based dielectric resonator antenna is designed and explored. VPM is fractal geometry, which is widely used in the architecture of Hindu religion‐based ancient temples . This type of geometry reduces the volume to surface area of any 3D structure, which is helpful to get low Q‐factor.…”

Section: Introductionmentioning

confidence: 99%

Investigation on novel wideband fractal antenna design based on cylindrical shape dielectric resonator

Gangwar

Sharma

Das

et al. 2019

Int J RF Microw Comput Aided Eng

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This article explains a novel approach for achieving wideband characteristics in case of dielectric resonator antenna (DRA). Wideband characteristic has been realized by uniting the concept of vastu purusha mandala (VPM)-based fractal geometry with dielectric resonator antenna. VPM is Hindu religion-based fractal geometry, which provides the advantage of decrease in volume to surface area of the radiator. This concept is useful to enhance impedance bandwidth of proposed antenna. For the purpose of validation, prototype of proposed antenna design has been fabricated as well as tested. After experimental testing, it is confirmed that the proposed radiator functions over the frequency range 2.6-4.34 GHz with a percentage bandwidth of 46.52%. The proposed radiating arrangement provides peak gain of 6.3 dBi and stable far-field characteristics. All these features make it applicable for WiMAX application (3.3 GHz). K E Y W O R D Sdielectric resonator antenna, fractal shape, Q-factor, wideband antenna

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Section: Introductionmentioning

confidence: 99%

Investigation on novel wideband fractal antenna design based on cylindrical shape dielectric resonator

Gangwar

Sharma

Das

et al. 2019

Int J RF Microw Comput Aided Eng

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“…It is hard to describe with the traditional quantitative method because of the irregularity of the structure of the steel structure. The simple fractal dimension is only the overall characterization of the surface morphology and not detailed description of details [5] . Multifractal can reflect more details of material surface and more real description of the surface morphology of the material [6] .…”

Section: Introductionmentioning

confidence: 99%

The multifractal of ultra low carbon steels containing titanium organizations

Cao¹,

Zhang²,

Zhu³

et al. 2015

Proceedings of the 3rd International Conference on Material, Mechanical and Manufacturing Engineering

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Abstract. Steel samples under different pulse magnetic field are produced using self-developed pulsed magnetic field generator, and the discharge voltage of the pulsed magnetic field selected from the experiment is 0V, 40V, 80V, and 100V four gradient levels. The morphology of the microstructure is photographed by metallographic microscope, then the calculation of the multi fractal software，which is designed by Visual C++，of the optical image input is carried out. The distribution patterns of different pulse magnetic fields have been quantitatively characterized by the results of the calculation. With the increase of the discharge voltage, ( Multifractal spectrum width) decreases from 0.481338 to 0.439.5 and then increases to 0.545596, which explains process of the change from uniform to uniform to uneven and more complicated organizational structure; (multifractal spectrum) ＞ 0, the fine microstructure dominated，the increased proportion of intracrystalline ferrite.

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“…For example, in medicine, when considering neuronal networks and their pathologies; in electronics, when considering the physical behavior of circuits on smaller manufacturing scales; in chemistry, when obtaining different properties of substances depending on their roughness (Kiselev et al 2003). This concept is also used in architecture, when seeking evidence of the objective influence between buildings designed by renowned architects, or in order to obtain mathematical evidence with regard to whether or not certain important architects respected the compositional continuity of the artificial or natural environment in which their design was intended to be constructed (Bechhoefer and Bovill 1994;Batty and Longley 1997;Hammer 2006;Sala 2006;Joye 2007;Rian and Park 2007;Bovill 2008;Ostwald 2001;Ostwald et al 2008;Ostwald and Vaughan 2009; Ostwald 2009, 2011).In this particular case of study, the field is architecture and the objects considered are architectural designs (which are not fractal objects), and thus we will apply a geometric calculation technique to them in order to generate their fractal parameters, a process which we will explain next. The process can be summarized as follows.…”

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confidence: 99%

A Study of the Roughness of Gothic Rose Windows

Samper

Herrera

2015

Nexus Netw J

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The rose window is one of the most representative elements of Gothic art and architecture. In this work we analyze fifteen rose windows from fifteen Gothic cathedrals using fractal geometry. Specifically, we examine the texture and roughness of these rose windows focusing on three factors, their designs, glass areas and solid areas. In this investigation we generate parameters which provide a measure of roughness of the rose windows in order to find out if they show a general non-random fractal pattern. The paper concludes that statistically, there is a characteristic fractal pattern in the solid and glass areas of the rose windows of the Gothic style, but not necessarily in their overall design.Keywords Rose windows Á Gothic architecture Á Fractal geometry Á Fractal parameter Historical Background: Light in the Gothic CathedralThe Gothic style signaled a veritable revolution in architecture as a result of its technical innovations which challenged the conventional concepts of construction at the time and also changed the manner in which large indoor spaces were conceived. Louis VI, King of France, aspired to rule all of the vast territories which had formed the Carolingian Empire three centuries before. To achieve this aspiration he was assisted in this task by Abbot Suger of Saint-Denis, an advisor with both intelligence and diplomatic skills. In gratitude for the services rendered, Louis VI granted the abbey of Saint-Denis great privileges so that they would have a competitive advantage and be able to hold their prosperous annual fair, which gathered both the faithful and merchants providing major benefits for the abbey. As a result of this, Saint-Denis became the richest Benedictine monastery in France after Cluny. Influenced by the Neoplatonic thoughts which spread amongst scholars of the early twelfth century in the Paris region, Suger was fascinated by light as a means to connecting with God. With this concept as an intellectual guide, Suger inferred that the House of God, the Christian church, had to become a temple of light and even more: ''a city bathed in the light of God'' (Berger 1906;Panofsky 1970). In order to achieve this ideal, it was necessary to modify and improve the construction system of the great Romanesque churches. That is, it was imperative to remove some walls and tear others from top to bottom in order to place large windows in them which would capture the sunlight. The name of the architect who found the solution to Suger's problem is unknown. Perhaps it was the master builder who directed the construction of the Romanesque structure in the abbey of Saint-Denis. Regardless, shortly before finishing this work, Suger ordered the following inscription to be places, in Latin verses on the main door of the abbey church. ''Portarum quisquis attolere quaeris honorem, Aurum nec sumptus, operis mirare laborem. Nobile claret opus, sed opus quod nobile claret, Clarificet mentes, ut eant per lumina vera, Ad verum lumen, ubi Christus jaunua vera. Quale sit intus in his determinat aurea p...

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Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho

Cited by 40 publications

References 3 publications

Investigation on novel wideband fractal antenna design based on cylindrical shape dielectric resonator

Investigation on novel wideband fractal antenna design based on cylindrical shape dielectric resonator

The multifractal of ultra low carbon steels containing titanium organizations

A Study of the Roughness of Gothic Rose Windows

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