Statistical Applications for Undergraduate Research Exploration

Total Page:16

File Type:pdf, Size:1020Kb

Statistical Applications for Undergraduate Research Exploration Volume 1 April 2021 STATistical applications for undergraduate research exploration The field of statistics is the study of learning from data. Statistical learning causes you to utilize the best possible strategies to gather the information, utilize the right investigations, and adequately present the outcomes. Statistics is an urgent procedure behind how we make disclosures in science, settle on choices dependent on information, and make predictions. Statistics is an energizing field about the rush of discovery, learning, and challenging your assumptions. LIFESCI 3LL3 - Living Systems Laboratory Practicum is a lab-based statistics course that provides students with the opportunity to explore various areas of study within the Life Sciences in a small- group learning environment. Students work with large data sets and SPSS software to gain knowledge in the field of scientific research. They learn to develop research questions, run appropriate statistical tests on their data, and compose the basic requirements for a scientific manuscript. This STATure (STATistical applications for undergraduate research exploration) publication is a compilation of the final report submissions created by the students in the Winter 2021 course. Each report is unique, and tells an interesting statistical story while facilitating the formation of new learning. I hope you enjoy learning about statistics as you read these reports. Dr. Janet Pritchard (Course Creator and Instructor) Cover Art – An artistic impression of Dr. Muriel Bristol (1888-1950) who claimed to be able to tell whether the tea or the milk was added first to a cup. This lead Dr. Ronald Fisher (1890-1962) to devise the steps to test this hypothesis and eventually create the foundations for modern statistical science. (downloaded from https://thedailyomnivore.net/2015/06/08/lady-tasting-tea/) Inside Art - A Bird in Flight. Hamid Naderi Yeganeh (1990-) is an Iranian mathematical artist and digital artist. He is known for using mathematical formulas to create drawings of real-life objects, intricate illustrations, animations, fractals and tessellations. This image was chosen for this initial STATure publication to represent taking flight of this exciting course. Wikimedia Creative Commons. (https://archive.org/details/ABirdInFlight_201504) Editor – Russ Ellis TABLE OF CONTENTS 1 Oral Contraceptive Use Improves Relationship Satisfaction with Living Partner and Children in Women Aged 16-50 with Suicidal Thoughts 12 Exploring the Perceptions of Perceived Mental Health Among Young and Older Adults in Ontario in Relation to their Level of Concern for their Physical Health and Financial Impacts due to the COVID-19 Pandemic 22 A Weak Relationship Between Education and Cigarette Consumption Behaviours Among Canadian Females: A Cross-Sectional Study 33 The Positive Relationship Between Fruit Intake and Girls’ Self-Esteem: A Cross-Sectional Study 40 Cardiovascular Disease in Women Over 50: The Impact of Exercise on Reducing Systolic Blood Pressure and LDL Cholesterol 50 Effect of Education and Age on Ontario Women’s Preference for Receiving an Abortion when Maternal Health is At Risk 59 The Impact of Education Level, Sex and Smoking Status on the Health Consciousness of Adults: An Observational Analysis on Smoking in Canada 1994 71 Effects of Financial Obligations on Generalized Anxiety Symptoms in Female Adults during COVID-19 80 Investigating the Association Between the Psychological Well-Being and Active Commuting by Walking in Canadian Individuals Aged 15-29 Years Old 90 Mental Health Perceptions Associated with the COVID-19 Pandemic Amongst Canadians of Indigenous Identity or Minority Status Aged 30-49: An Observational Study 102 Investigating Differences in Prevalence of Physical and Intellectual Impairments Across Canadian Provinces: Pediatric Cohort 113 Immigrant Canadians experienced different psychosocial outcomes than non-immigrants in the context of the COVID-19 pandemic 124 Analyzing Differences in Contraception Method Awareness and Pregnancy Prevalence in Women with Different Education Levels Living across various Canadian Provinces 136 The Impact of Financial Stress on Anxiety Levels in the COVID-19 Pandemic 146 Association between Alcohol Consumption in Males aged 15-30 years & Self-Reported Mental Health 156 The Impact of COVID-19 on Mental Health According to Age and Urbanization 166 The Impact of Education Level on the Rate of Cocaine Consumption in Canadian Men and Women Age 20 - 30 is Inconclusive: An Observational and Cross-sectional Study 175 The ratio of LDL-C to HDL-C in Males Compared to Females who Have Had a Previous Heart Attack and Among Different Weight Categories 184 Correlation Between Low-Fat Diet, Weight and BMI in males and females aged 18-34; BMI associated with Low Fat Diet 195 Cross-sectional Study: Single Parent Households do not have Significant Effects on Exercise and Diet in School-aged Boys 206 Single Status as a Protective Factor Against Illicit Drug Use in BC: An Observational Cross- Sectional Study 216 COVID-19’s Impact on Mental Health: A Cross-Sectional Study 224 Checking the Validity of COVID-19 Information is Associated with Increased Anxiety Levels in Canadians Aged 15 years and Older: An Observational Study 235 Cross-sectional study: Consumption above the Modified Canadian Guideline for Low-Risk Drinking Associated with Self-Reported Incidence of Back Pain Oral Contraceptive Use Improves Relationship Satisfaction with Living Partner and Children in Women Aged 16-50 with Suicidal Thoughts Authors: Khadija Brouillette, Cassandra Dumouchel, Olivia Kalau, Kathryn McQuillan INTRODUCTION Oral contraceptive (OC) medication, colloquially referred to as “the pill”, are a class of contraceptives that contain synthetic ovarian hormones, including estrogen and progesterone, which inhibit ovulation and pregnancy. OCs are classified as hormonal contraceptives (HC). Other HCs include Intrauterine Devices (IUD), injections, vaginal rings, or skin patches (Edwards and Quinter 2011). Researchers have identified potential positive and negative non-contraceptive effects of HCs including improved quality of life (QOL) and increased risk of suicidal ideation (Arowojolu et al. 2012; Edwards and Quinter 2011; Egarter et al. 1999). Positive Effects of Oral Contraceptives There is evidence to suggest that OC use is associated with improved QOL (Egarter et al. 1999). Women using OCs report higher levels of relationship satisfaction and general life satisfaction compared to those who are not using OCs (Taggart et al. 2018). Roberts et al. (2011) reports an association between women meeting their partner while taking OCs and certain relationship outcomes, such as reproductive behaviour and quality of family life. The reported improved QOL may be due to a reduction in fear of unwanted pregnancy, which in turn reduces stress and improves sexual experiences (Egarter et al. 1999). However, OCs have also been shown to have biological effects on socio-emotional behaviors. High levels of estrogen are protective against the effects of stress and fear while progesterone plays a role in emotional regulation (Montoya and Bos 2017). These findings may suggest OCs provide benefits beyond preventing undesired pregnancies. Studies have shown that the ovarian hormones in OCs influence emotional recognition and empathy, both of which are essential to be a caregiver and to navigate social relationships. This may explain the increase in relationship satisfaction in women who are taking OCs (Montoya and Bos 2017). Negative Effects of Oral Contraceptives Generally, negative side effects of taking OCs include physical and mental symptoms (Pietrangelo 2014). There is conflicting literature investigating the association between the use of OCs and suicidal ideations and/or attempts. In a placebo-controlled study, the general well-being, self-control, and vitality of participants taking OCs were significantly lower than the placebo (Zethraeus et al. 2017). Edwards et al. (2020) found that OCs did not significantly influence symptoms of depression, however women susceptible to depression/anxiety were more likely to stop using OCs. Further results showed that HCs containing only progestin, a synthetic progesterone, were positively associated with suicidal behavior, particularly after one month’s use (Edwards and Quinter 2011). Anderl et al. (2019) suggested that long term OC use in adolescents is associated with a risk of major depressive disorder (MDD). Similarly, results showed that women who had used OCs in adolescence were at a greater risk for depression in adulthood (Anderl, Li, and Chen 2020). Additionally, the use of HCs is positively associated with the likelihood of suicide attempts (Edwards and Quinter 2011). This association is STATure, Vol.1 April 2021 Page 1 particular to adolescent women not previously diagnosed with depression, women who have not taken antidepressants, nor taken hormonal contraceptives before the age of 15 (Skovlund et al. 2018). Social Support and QOL The literature suggests that in addition to OCs, professional and social support can influence QOL and relationship satisfaction (Koivumaa‐Honkanen et al. 1996; Wan, Jaccard, and Ramey 1996). A study on the relationship between social support and life satisfaction determined that married women benefit most from non-familial support, including psychologist or social worker help (Wan et al. 1996). In an analysis of perceived social support, anxiety, depression and QOL, research report that QOL can be improved by
Recommended publications
  • Fractal 3D Magic Free
    FREE FRACTAL 3D MAGIC PDF Clifford A. Pickover | 160 pages | 07 Sep 2014 | Sterling Publishing Co Inc | 9781454912637 | English | New York, United States Fractal 3D Magic | Banyen Books & Sound Option 1 Usually ships in business days. Option 2 - Most Popular! This groundbreaking 3D showcase offers a rare glimpse into the dazzling world of computer-generated fractal art. Prolific polymath Clifford Pickover introduces the collection, which provides background on everything from Fractal 3D Magic classic Mandelbrot set, to the infinitely porous Menger Sponge, to ethereal fractal flames. The following eye-popping gallery displays mathematical formulas transformed into stunning computer-generated 3D anaglyphs. More than intricate designs, visible in three dimensions thanks to Fractal 3D Magic enclosed 3D glasses, will engross math and optical illusions enthusiasts alike. If an item you have purchased from us is not working as expected, please visit one of our in-store Knowledge Experts for free help, where they can solve your problem or even exchange the item for a product that better suits your needs. If you need to return an item, simply bring it back to any Micro Center store for Fractal 3D Magic full refund or exchange. All other products may be returned within 30 days of purchase. Using the software may require the use of a computer or other device that must meet minimum system requirements. It is recommended that you familiarize Fractal 3D Magic with the system requirements before making your purchase. Software system requirements are typically found on the Product information specification page. Aerial Drones Micro Center is happy to honor its customary day return policy for Aerial Drone returns due to product defect or customer dissatisfaction.
    [Show full text]
  • Möbius Bridges
    { Final version for JMA - Nov 2, 2017 } Möbius Bridges Carlo H. Séquin CS Division, University of California, Berkeley E-mail: [email protected] Abstract Key concepts and geometrical constraints are discussed that allow the construction of a usable bridge that is topological equivalent to a Möbius band. A multi-year search in publications and on the internet for real-world bridges that meet these requirements has not identified a single clean construction that warrants the designation “Möbius bridge,” but a few promising designs can be found. Several simple but practical designs are presented here. 1. Introduction July 2017 marks the twentieth installment of the annual Bridges conference [1], which elucidates the connections between mathematics and art, music, architecture, and many other cultural venues. This year the conference has been held in Waterloo, Canada. In its twenty-year history it has visited many places around the globe, including Seoul in South Korea, Coimbra in Portugal, Pécz in Hungary, and Leeuwarden in the Netherlands, the hometown of M.C. Escher. This conference series got started by Reza Sarhangi [2] at Southwestern College in Winfield, Kansas. After a few occurrences at this initial location, Reza Sarhangi and other core members of this conference started discussing the possibility of establishing some kind of a commemorative entity of the conference on the Winfield campus. Since Escher, Möbius, and Klein are among the heroes of this Math-Art community, suggestions included an Escher Garden, a Möbius Bridge, or a Klein Bottle House. This prompted me to study the feasibility of such entities; and over the following year, I developed some practical designs for bridges and buildings that follow the geometry of a Möbius band [3].
    [Show full text]
  • 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.
    [Show full text]
  • Fractal Expressionism—Where Art Meets Science
    Santa Fe Institute. February 14, 2002 9:04 a.m. Taylor page 1 Fractal Expressionism—Where Art Meets Science Richard Taylor 1 INTRODUCTION If the Jackson Pollock story (1912–1956) hadn’t happened, Hollywood would have invented it any way! In a drunken, suicidal state on a stormy night in March 1952, the notorious Abstract Expressionist painter laid down the foundations of his masterpiece Blue Poles: Number 11, 1952 by rolling a large canvas across the oor of his windswept barn and dripping household paint from an old can with a wooden stick. The event represented the climax of a remarkable decade for Pollock, during which he generated a vast body of distinct art work commonly referred to as the “drip and splash” technique. In contrast to the broken lines painted by conventional brush contact with the canvas surface, Pollock poured a constant stream of paint onto his horizontal canvases to produce uniquely contin- uous trajectories. These deceptively simple acts fuelled unprecedented controversy and polarized public opinion around the world. Was this primitive painting style driven by raw genius or was he simply a drunk who mocked artistic traditions? Twenty years later, the Australian government rekindled the controversy by pur- chasing the painting for a spectacular two million (U.S.) dollars. In the history of Western art, only works by Rembrandt, Velazquez, and da Vinci had com- manded more “respect” in the art market. Today, Pollock’s brash and energetic works continue to grab attention, as witnessed by the success of the recent retro- spectives during 1998–1999 (at New York’s Museum of Modern Art and London’s Tate Gallery) where prices of forty million dollars were discussed for Blue Poles: Number 11, 1952.
    [Show full text]
  • Bridges: a World Community for Mathematical Art
    Accepted manuscript for The Mathematical Intelligencer, ISSN: 0343-6993 (print version) ISSN: 1866-7414 (electronic version) The final publication is available at Springer via http://link.springer.com/article/10.1007/s00283-016-9630-9 DOI 10.1007/s00283-016-9630-9 Bridges: A World Community for Mathematical Art Kristóf Fenyvesi Mathematical Art Reborn: Academic Gathering or Festival of the Arts? This is not the first time the Mathematical Communities column has featured the Bridges Organization: the 2005 conference1, in the breathtaking Canadian Rocky Mountains at Banff, was described in these pages by Doris Schattschneider [Schattschneider, 2006], a regular Bridges participant and Escher-specialist. The 2005 conference saw the debut of Delicious Rivers, Ellen Maddow’s play on the life of Robert Ammann, a postal worker who discovered a number of aperiodic tilings.2 Marjorie Senechal, The Mathematical Intelligencer’s current editor-in-chief, served as Maddow's consultant.3 A theatre premiér at a conference on mathematics? A production performed by mathematicians, moonlighting as actors? But this is Bridges. A quick look at the 2005 conference relays the “essence” of this scientific and artistic “happening” resembling a first-rate festival of the arts. True to its title, Renaissance Banff, the 2005 Bridges gave all members of its community, whether based in the sciences or the arts, the feeling that they had helped bring about a genuine rebirth. I use “community” in its most complete sense—including adults, children, artists, university professors, art lovers and local people—for the wealth of conference activities could only be accomplished through the participation of each and every individual present.
    [Show full text]
  • Transformations in Sirigu Wall Painting and Fractal Art
    TRANSFORMATIONS IN SIRIGU WALL PAINTING AND FRACTAL ART SIMULATIONS By Michael Nyarkoh, BFA, MFA (Painting) A Thesis Submitted to the School of Graduate Studies, Kwame Nkrumah University of Science and Technology in partial fulfilment of the requirements for the degree of DOCTOR OF PHILOSOPHY Faculty of Fine Art, College of Art and Social Sciences © September 2009, Department of Painting and Sculpture DECLARATION I hereby declare that this submission is my own work towards the PhD and that, to the best of my knowledge, it contains no material previously published by another person nor material which has been accepted for the award of any other degree of the University, except where due acknowledgement has been made in the text. Michael Nyarkoh (PG9130006) .................................... .......................... (Student’s Name and ID Number) Signature Date Certified by: Dr. Prof. Richmond Teye Ackam ................................. .......................... (Supervisor’s Name) Signature Date Certified by: K. B. Kissiedu .............................. ........................ (Head of Department) Signature Date CHAPTER ONE INTRODUCTION Background to the study Traditional wall painting is an old art practiced in many different parts of the world. This art form has existed since pre-historic times according to (Skira, 1950) and (Kissick, 1993). In Africa, cave paintings exist in many countries such as “Egypt, Algeria, Libya, Zimbabwe and South Africa”, (Wilcox, 1984). Traditional wall painting mostly by women can be found in many parts of Africa including Ghana, Southern Africa and Nigeria. These paintings are done mostly to enhance the appearance of the buildings and also serve other purposes as well. “Wall painting has been practiced in Northern Ghana for centuries after the collapse of the Songhai Empire,” (Ross and Cole, 1977).
    [Show full text]
  • 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,
    [Show full text]
  • Science • Art • Technology
    SCIENCE • ART • TECHNOLOGY 24 JULY THROUGH 10 AUGUST 2008 < Rinus Roelofs, PROGRAMME OF EVENTS new design for artwork consisting of a single 24 JULY – 10 AUGUST, 2008 continuous surface! (Location: Boer) BRIDGES, an annual conference founded in 1998 and serving since then 4 metres long, 2.5 metres high, as an international platform for artists, scientists and scholars working on corten steel the interface of science, art and technology will be held this year in Leeuwarden, The Netherlands from 24 - 29 July 2008. The approximately 200 visitors to the conference from 25 different countries will be coming to Leeuwarden to participate in a broad program of mathematical connections in art, music, architecture and science. Associated with the conference is a highly varied programme Gerard Caris > Polyhedral Net of cultural activities open to the general public that will run through Structure # 1, 10 August 2008. During the Open Day held on 29 July 2008, you can 160 x 95 x 95 cm become acquainted with a number of scientists and artists whilst young and old can participate in various workshops on Grote Kerkstraat in Exhibitions in churches Leeuwarden. The winners of the Gateways to Fryslân Competition will be announced during the conference. The artists exhibiting their work have come from abstract mathematical backgrounds to create many different visual products. Some artists, such as Gerard Caris (1925), limit their oeuvre to a single theme. In his case, this is the pentagon. In the village of Zweins, this artist will be showing a selection of his work including his ‘Polyhedral Net Structure # 1’.
    [Show full text]
  • 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).
    [Show full text]
  • Pdf 107.05 K
    ISSN: 1017-060X (Print) ISSN: 1735-8515 (Online) Special Issue of the Bulletin of the Iranian Mathematical Society in Honor of Professor Heydar Radjavi's 80th Birthday Vol. 41 (2015), No. 7, pp. 99{106 . Title: A Haar wavelets approach to Stirling's formula Author(s): M. Ahmadinia and H. Naderi Yeganeh Published by Iranian Mathematical Society http://bims.ims.ir Bull. Iranian Math. Soc. Vol. 41 (2015), No. 7, pp. 99{106 Online ISSN: 1735-8515 A HAAR WAVELETS APPROACH TO STIRLING'S FORMULA M. AHMADINIA∗ AND H. NADERI YEGANEH (Communicated by Peter Rosenthal) Dedicated to Professor Heydar Radjavi on his 80th birthday Abstract. This paper presents a proof of Stirling's formula using Haar wavelets and some properties of Hilbert space, such as Parseval's identity. The present paper shows a connection between Haar wavelets and certain sequences. Keywords: Haar wavelets, Parseval's identity, Stirling's formula. MSC(2010): Primary: 15-xx; Secondary: 40-xx. 1. Introduction n! Stirling's formula (lim !1 p = 1) plays an important role in statis- n nne−n 2πn tics and probability; its main use is estimating the value of n!. The first proofs of Stirling's formula were presented by de Moivre and Stirling (see [4, 8]). Es- timates of n! have been obtained via upper and lower bounds of n! by various authors (for example see [3], [5] and [6]). Some papers prove Stirling's formula by different techniques as well (for example see [2]). The present paper in- troduces a new method of proving Stirling's formula by using Haar wavelets.
    [Show full text]
  • LOCKDOWN Maths Inspired Art No Longer an Etching but a Multi Medium Artwork A3 Size
    LOCKDOWN Maths Inspired Art No Longer an Etching but a Multi Medium Artwork A3 size Gr11 /// PMM /// Term 2 /// 2020 Term 2’s theme has been inspired by the http://www.mathart.co.za/ competition initiated by the ​ ​ education department. We want to explore the link between making art and understanding maths principles. Each learner is to find a connection between a visual composition and being able to explain this using a mathematical explanation. Patterns, tessellations, fractals, proportion and perspective are all themes one could explore in this term 2 project. I suggest learners keep their final compositions simple and clean. Simple black line work as we are producing hard ground etchings in class. Due to the lockdown situation I would like each learner to produce their final practical at home. We will stick to the same theme as you have all done much work in your SB. What I would like is a final artwork, No smaller than A3 in whatever and whichever materials you have in your space at home. Please don't forget that stationary shops including art shops are open. I understand money is tight however pens, pencils, food colouring, coffee we should be able to work with easier. You will take your final composition and produce a final artwork with your ideas and creativity around “Maths in Art”. Suggestions for paper - cardboard boxes, old cereal boxes, collaging paper together. Please explore the format of the canvas - square, rectangular, oval are all options. [Each learn has already been given a brass etching plate and therefore has the size (39com x18cm) of the final composition.
    [Show full text]
  • 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 :
    [Show full text]