An Exploration of Fractal Mathematics As a Route to Developing a More Robust Theology for Fresh Expressions of Church
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The Fractal Dimension of Islamic and Persian Four-Folding Gardens
Edinburgh Research Explorer The fractal dimension of Islamic and Persian four-folding gardens Citation for published version: Patuano, A & Lima, MF 2021, 'The fractal dimension of Islamic and Persian four-folding gardens', Humanities and Social Sciences Communications, vol. 8, 86. https://doi.org/10.1057/s41599-021-00766-1 Digital Object Identifier (DOI): 10.1057/s41599-021-00766-1 Link: Link to publication record in Edinburgh Research Explorer Document Version: Publisher's PDF, also known as Version of record Published In: Humanities and Social Sciences Communications General rights Copyright for the publications made accessible via the Edinburgh Research Explorer is retained by the author(s) and / or other copyright owners and it is a condition of accessing these publications that users recognise and abide by the legal requirements associated with these rights. Take down policy The University of Edinburgh has made every reasonable effort to ensure that Edinburgh Research Explorer content complies with UK legislation. If you believe that the public display of this file breaches copyright please contact [email protected] providing details, and we will remove access to the work immediately and investigate your claim. Download date: 06. Oct. 2021 ARTICLE https://doi.org/10.1057/s41599-021-00766-1 OPEN The fractal dimension of Islamic and Persian four- folding gardens ✉ Agnès Patuano 1 & M. Francisca Lima 2 Since Benoit Mandelbrot (1924–2010) coined the term “fractal” in 1975, mathematical the- ories of fractal geometry have deeply influenced the fields of landscape perception, archi- tecture, and technology. Indeed, their ability to describe complex forms nested within each fi 1234567890():,; other, and repeated towards in nity, has allowed the modeling of chaotic phenomena such as weather patterns or plant growth. -
The Implications of Fractal Fluency for Biophilic Architecture
JBU Manuscript TEMPLATE The Implications of Fractal Fluency for Biophilic Architecture a b b a c b R.P. Taylor, A.W. Juliani, A. J. Bies, C. Boydston, B. Spehar and M.E. Sereno aDepartment of Physics, University of Oregon, Eugene, OR 97403, USA bDepartment of Psychology, University of Oregon, Eugene, OR 97403, USA cSchool of Psychology, UNSW Australia, Sydney, NSW, 2052, Australia Abstract Fractals are prevalent throughout natural scenery. Examples include trees, clouds and coastlines. Their repetition of patterns at different size scales generates a rich visual complexity. Fractals with mid-range complexity are particularly prevalent. Consequently, the ‘fractal fluency’ model of the human visual system states that it has adapted to these mid-range fractals through exposure and can process their visual characteristics with relative ease. We first review examples of fractal art and architecture. Then we review fractal fluency and its optimization of observers’ capabilities, focusing on our recent experiments which have important practical consequences for architectural design. We describe how people can navigate easily through environments featuring mid-range fractals. Viewing these patterns also generates an aesthetic experience accompanied by a reduction in the observer’s physiological stress-levels. These two favorable responses to fractals can be exploited by incorporating these natural patterns into buildings, representing a highly practical example of biophilic design Keywords: Fractals, biophilia, architecture, stress-reduction, -
The Bible and Its Modern Methods: Interpretation Between Art and Text
Morse, Benjamin L. (2008) The Bible and its modern methods: interpretation between art and text. PhD thesis. http://theses.gla.ac.uk/498/ Copyright and moral rights for this thesis are retained by the author A copy can be downloaded for personal non-commercial research or study, without prior permission or charge This thesis cannot be reproduced or quoted extensively from without first obtaining permission in writing from the Author The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the Author When referring to this work, full bibliographic details including the author, title, awarding institution and date of the thesis must be given Glasgow Theses Service http://theses.gla.ac.uk/ [email protected] THE BIBLE AND ITS MODERN METHODS: INTERPRETATION BETWEEN ART AND TEXT Doctoral dissertation submitted to the Faculty of Arts by BENJAMIN MORSE University of Glasgow Department of Theology and Religious Studies 31 October 2008 In memory of my mother The Reverend Jane Anderson Morse (1943-1995) 2 ABSTRACT The dissertation that follows pushes the boundaries of biblical interpretation by formulating relationships between passages of the Hebrew Bible and unrelated works of Modern art. While a growing field of criticism addresses the representation of scriptural stories in painting, sculpture and film, the artwork in this study does not look to the Bible for its subject matter. The intertextual/intermedia comparisons instead address five different genres of biblical literature and read them according to various dynamics found in Modern images. In forming these relationships I challenge traditional perceptions of characters and literary style by allowing an artistic representation or pictorial method to highlight issues of selfhood, gender and power and by revaluing narrative and poetry in nuanced aesthetic terms. -
Cathedrals Fabric Commission for England
GS Misc 1074 GENERAL SYNOD Membership of the Archbishops’ Council, the Church Commissioners for England, the Church of England Pensions Board and their committees 2013-14 Contents Page Archbishops’ Council 1 Church Commissioners for England 5 Church of England Pensions Board 7 Archbishops’ Council Joint Presidents The Most Revd and Rt Hon Justin Welby, Archbishop of Canterbury The Most Revd and Rt Hon Dr John Sentamu, Archbishop of York Prolocutors of the Lower Houses of the Convocations Elected by the Convocations of Canterbury and York The Ven Christine Hardman (Canterbury) The Ven Cherry Vann (York) Chair and Vice-Chair of the House of Laity Elected by the House of Laity Dr Philip Giddings (Chair of the House of Laity) Tim Hind (Vice-Chair of the House of Laity) Elected by the House of Bishops The Rt Revd Trevor Willmott, Bishop of Dover The Rt Revd Steven Croft, Bishop of Sheffield Elected by the House of Clergy The Revd Canon Robert Cotton The Revd Mark Ireland Elected by the House of Laity Paul Boyd-Lee Christina Rees Appointed by the Archbishops with the approval of the General Synod Andrew Britton (until September 2013) Mary Chapman Professor John Craven (until July 2013) Philip Fletcher The Revd Dr Rosalyn Murphy Canon John Spence (from October 2013) Rebecca Swinson A Church Estates Commissioner Andreas Whittam Smith, First Church Estates Commissioner Meetings since April 2013: 29-30 May 2013; 26 September; 25-26 November; 26 March 2014; 21-22 May 1 Audit Committee Membership: Mary Chapman(ex officio) (Chair); Paul Boyd-Lee (Salisbury); -
Welcome Sunday 6 September 2015
Welcome Sunday 6 September 2015 Crossroads Mission Next week a team of 19 Bishops from across the north of England will spend four days in the Diocese of Sheffield in the Crossroads mission. The team of Bishops will be led by the Archbishop of York. Many of the Bishops are bringing small teams with them to help in the various events. Over 200 special events are taking place across the Diocese over the four days (not including all the Sunday services at which the Bishops will speaking and leading). More than 100 parishes are involved in some direct way with the mission. We are being held in prayer across the whole Diocese and across the world. The aim of the mission is to share the Christian faith with love and imagination in many different places. Jesus compared sharing the good news of God’s love with sowing seed. That’s exactly what we will be doing. Everyone across the Diocese is warmly invited to the Cathedral for the commissioning and launch service on Thursday 10 September at 13.30. Everyone is also welcome to the final event in Minster Square in Rotherham at 16.00 on Sunday 13 September. Please pray for these four days of mission, that God will bless this time in special ways. Bishop Peter and I will be out and about at various mission events during the four days. We look forward to seeing you. The Rt Revd Dr Steven Croft The Bishop of Sheffield A prayer for the mission Loving God, This world you love stands at the crossroads. -
Cis Southern Conference 2018 - Speaker Bios
CiS Southern Conference 2018 - Speaker Bios Professor John Wyatt John Wyatt is Professor of Ethics and Perinatology at University College London and Honorary Consultant Neonatologist at University College London Hospitals. He is co- Principal Investigator for a research project based at the Faraday Institute investigating the implications for human self-understanding of recent advances in artificial intelligence and robotic technology. He is a frequent commentator on biomedical ethics and the wider implications of technological advances. Reverend Dr Justin Tomkins Justin Tomkins, one of the co-directors of the “Faith, Technology and Tomorrow” project at St Mary’s Longfleet in Poole where he is the Associate Vicar. He brings a proven track record of working at the interface of science and technology, particularly through his work on Human Enhancement, one of the project topics. Justin has contributed to the Salisbury Diocese' 'Aldhelm Certificate' on faith and science; written material for the 'Christian's in Science' 'Thinking about...' series of information leaflets; and worked with 'CARE' on their Human Enhancement web resource linked to his book, Better People or Enhanced Humans? Professor Peter Robinson Peter Robinson is Professor of Computer Technology in the Computer Laboratory at the University of Cambridge, where he leads the Rainbow Research Group working on computer graphics and interaction. His research concerns problems at the boundary between people and computers, investigating new technologies to enhance communication between computers and their users, and new applications to exploit these technologies. Together with John Wyatt, he has been involved in a TWCF-funded project on “The Science of Human Flourishing” that brings together leaders in the fields of science, technology and theology to examine some of the key elements that contribute to human flourishing. -
Harmonic and Fractal Image Analysis (2001), Pp. 3 - 5 3
O. Zmeskal et al. / HarFA - Harmonic and Fractal Image Analysis (2001), pp. 3 - 5 3 Fractal Analysis of Image Structures Oldřich Zmeškal, Michal Veselý, Martin Nežádal, Miroslav Buchníček Institute of Physical and Applied Chemistry, Brno University of Technology Purkynova 118, 612 00 Brno, Czech Republic [email protected] Introduction of terms Fractals − Fractals are of rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced copy of the whole. − They are crinkly objects that defy conventional measures, such as length and are most often characterised by their fractal dimension − They are mathematical sets with a high degree of geometrical complexity that can model many natural phenomena. Almost all natural objects can be observed as fractals (coastlines, trees, mountains, and clouds). − Their fractal dimension strictly exceeds topological dimension Fractal dimension − The number, very often non-integer, often the only one measure of fractals − It measures the degree of fractal boundary fragmentation or irregularity over multiple scales − It determines how fractal differs from Euclidean objects (point, line, plane, circle etc.) Monofractals / Multifractals − Just a small group of fractals have one certain fractal dimension, which is scale invariant. These fractals are monofractals − The most of natural fractals have different fractal dimensions depending on the scale. They are composed of many fractals with the different fractal dimension. They are called „multifractals“ − To characterise set of multifractals (e.g. set of the different coastlines) we do not have to establish all their fractal dimensions, it is enough to evaluate their fractal dimension at the same scale Self-similarity/ Semi-self similarity − Fractal is strictly self-similar if it can be expressed as a union of sets, each of which is an exactly reduced copy (is geometrically similar to) of the full set (Sierpinski triangle, Koch flake). -
Analyse D'un Modèle De Représentations En N Dimensions De
Analyse d’un modèle de représentations en n dimensions de l’ensemble de Mandelbrot, exploration de formes fractales particulières en architecture. Jean-Baptiste Hardy 1 Département d’architecture de l’INSA Strasbourg ont contribués à la réalisation de ce mémoire Pierre Pellegrino Directeur de mémoire Emmanuelle P. Jeanneret Docteur en architecture Francis Le Guen Fractaliste, journaliste, explorateur Serge Salat Directeur du laboratoire des morphologies urbaines Novembre 2013 2 Sommaire Avant-propos .................................................................................................. 4 Introduction .................................................................................................... 5 1 Introduction aux fractales : .................................................... 6 1-1 Présentation des fractales �������������������������������������������������������������������� 6 1-1-1 Les fractales en architecture ������������������������������������������������������������� 7 1-1-2 Les fractales déterministes ................................................................ 8 1-2 Benoit Mandelbrot .................................................................................. 8 1-2-1 L’ensemble de Mandelbrot ................................................................ 8 1-2-2 Mandelbrot en architecture .............................................................. 9 Illustrations ................................................................................................... 10 2 Un modèle en n dimensions : -
Fractal Analysis of the Vascular Tree in the Human Retina
3 Jun 2004 22:39 AR AR220-BE06-17.tex AR220-BE06-17.sgm LaTeX2e(2002/01/18) P1: IKH 10.1146/annurev.bioeng.6.040803.140100 Annu. Rev. Biomed. Eng. 2004. 6:427–52 doi: 10.1146/annurev.bioeng.6.040803.140100 Copyright c 2004 by Annual Reviews. All rights reserved First published online as a Review in Advance on April 13, 2004 FRACTAL ANALYSIS OF THE VASCULAR TREE IN THE HUMAN RETINA BarryR.Masters Formerly, Gast Professor, Department of Ophthalmology, University of Bern, 3010 Bern, Switzerland; email: [email protected] Key Words fractals, fractal structures, eye, bronchial tree, retinal circulation, retinal blood vessel patterns, Murray Principle, optimal vascular tree, human lung, human bronchial tree I Abstract The retinal circulation of the normal human retinal vasculature is statis- tically self-similar and fractal. Studies from several groups present strong evidence that the fractal dimension of the blood vessels in the normal human retina is approximately 1.7. This is the same fractal dimension that is found for a diffusion-limited growth process, and it may have implications for the embryological development of the retinal vascular system. The methods of determining the fractal dimension for branching trees are reviewed together with proposed models for the optimal formation (Murray Princi- ple) of the branching vascular tree in the human retina and the branching pattern of the human bronchial tree. The limitations of fractal analysis of branching biological struc- tures are evaluated. Understanding the design principles of branching vascular systems and the human bronchial tree may find applications in tissue and organ engineering, i.e., bioartificial organs for both liver and kidney. -
The Mawer Report on Sheffield Address at the 2017 National
The Mawer Report on Sheffield Address at the 2017 National Assembly of Forward in Faith by the Revd Paul Benfield SSC You will all know that earlier this year Bishop Philip North was nominated to be the Bishop of Sheffield. The announcement was made from 10, Downing Street on 31st January. On the 9th March Downing Street announced that Bishop Philip had withdrawn his acceptance of the nomination. On 23rd March the Archbishops of Canterbury and York wrote to Sir Philip Mawer, the Independent Reviewer, asking him to address certain concerns which had arisen in the Church concerning Bishop Philip’s nomination and subsequent withdrawal. Sir Philip set to work immediately. He held 40 different meetings in Sheffield, York, Oxford, and London, meeting 76 people. In addition he received 48 written submissions. These included one from Forward in Faith, which is published as an appendix to the report The report was published in September. It is a thorough and detailed report, running to 74 pages plus 24 long appendices. It can be found on line through links via the Church of England and Forward in Faith websites. Sir Philip begins by setting out the background to the Sheffield matter – the 2014 Settlement on women bishops, the Five Guiding Principles and Mutual Flourishing, and his role as Independent Reviewer. He then gives a detailed narrative of events from the announcement in April 2016 that Bishop Steven Croft was to leave Sheffield to become Bishop of Oxford. He goes on through the events leading to the nomination of Bishop Philip and the reaction to that announcement and his withdrawal. -
Winning Financial Trading with Equilibrium Fractal Wave
Winning Financial Trading with Equilibrium Fractal Wave Subtitle: Introduction to Equilibrium Fractal Wave Trading Author: Young Ho Seo Finance Engineer and Quantitative Trader Book Version: 2.2 (16 October 2018) Publication Date: 13 February 2017 Total Pages counted in MS-Word: 121 Total Words counted in MS-Word: 14,500 [email protected] www.algotrading-investment.com About the book This book will introduce you the brand new concept called “Equilibrium fractal wave” for the financial trading. This powerful concept can guide and improve your practical trading. The concept taught here can also help the strategist to create new trading strategies for Stock and Forex market. Please note that this book was designed to introduce the equilibrium fractal wave concept mostly. If you are looking for more trading strategy oriented guidelines, then please read “Financial Trading with Five Regularities of Nature” instead of this book. You can find the Book “Financial Trading with Five Regularities of Nature”: Scientific Guide to Price Action and Pattern Trading (Seo, 2017) in both from amazon.com and algotrading-investment.com. 2 Risk Disclaimer The information in this book is for educational purposes only. Leveraged trading carries a high level of risk and is not suitable for all market participants. The leverage associated with trading can result in losses, which may exceed your initial investment. Consider your objectives and level of experience carefully before trading. If necessary, seek advice from a financial advisor. Important warning: If you find the figures and table numberings are mismatched in this book, please report it to: [email protected] 3 Table of Contents About the book .................................................................................................................................. -
Furniture Design Inspired from Fractals
169 Rania Mosaad Saad Furniture design inspired from fractals. Dr. Rania Mosaad Saad Assistant Professor, Interior Design and Furniture Department, Faculty of Applied Arts, Helwan University, Cairo, Egypt Abstract: Keywords: Fractals are a new branch of mathematics and art. But what are they really?, How Fractals can they affect on Furniture design?, How to benefit from the formation values and Mandelbrot Set properties of fractals in Furniture Design?, these were the research problem . Julia Sets This research consists of two axis .The first axe describes the most famous fractals IFS fractals were created, studies the Fractals structure, explains the most important fractal L-system fractals properties and their reflections on furniture design. The second axe applying Fractal flame functional and aesthetic values of deferent Fractals formations in furniture design Newton fractals inspired from them to achieve the research objectives. Furniture Design The research follows the descriptive methodology to describe the fractals kinds and properties, and applied methodology in furniture design inspired from fractals. Paper received 12th July 2016, Accepted 22th September 2016 , Published 15st of October 2016 nearly identical starting positions, and have real Introduction: world applications in nature and human creations. Nature is the artist's inspiring since the beginning Some architectures and interior designers turn to of creation. Despite the different artistic trends draw inspiration from the decorative formations, across different eras- ancient and modern- and the geometric and dynamic properties of fractals in artists perception of reality, but that all of these their designs which enriched the field of trends were united in the basic inspiration (the architecture and interior design, and benefited nature).