Mandelbrot Set Software Free
Total Page：16
File Type：pdf, Size：1020Kb
Load more
Recommended publications
-
Fractal (Mandelbrot and Julia) Zero-Knowledge Proof of Identity
Journal of Computer Science 4 (5): 408-414, 2008 ISSN 1549-3636 © 2008 Science Publications Fractal (Mandelbrot and Julia) Zero-Knowledge Proof of Identity Mohammad Ahmad Alia and Azman Bin Samsudin School of Computer Sciences, University Sains Malaysia, 11800 Penang, Malaysia Abstract: We proposed a new zero-knowledge proof of identity protocol based on Mandelbrot and Julia Fractal sets. The Fractal based zero-knowledge protocol was possible because of the intrinsic connection between the Mandelbrot and Julia Fractal sets. In the proposed protocol, the private key was used as an input parameter for Mandelbrot Fractal function to generate the corresponding public key. Julia Fractal function was then used to calculate the verified value based on the existing private key and the received public key. The proposed protocol was designed to be resistant against attacks. Fractal based zero-knowledge protocol was an attractive alternative to the traditional number theory zero-knowledge protocol. Key words: Zero-knowledge, cryptography, fractal, mandelbrot fractal set and julia fractal set INTRODUCTION Zero-knowledge proof of identity system is a cryptographic protocol between two parties. Whereby, the first party wants to prove that he/she has the identity (secret word) to the second party, without revealing anything about his/her secret to the second party. Following are the three main properties of zero- knowledge proof of identity[1]: Completeness: The honest prover convinces the honest verifier that the secret statement is true. Soundness: Cheating prover can’t convince the honest verifier that a statement is true (if the statement is really false). Fig. 1: Zero-knowledge cave Zero-knowledge: Cheating verifier can’t get anything Zero-knowledge cave: Zero-Knowledge Cave is a other than prover’s public data sent from the honest well-known scenario used to describe the idea of zero- prover. -
Object Oriented Programming
No. 52 March-A pril'1990 $3.95 T H E M TEe H CAL J 0 URN A L COPIA Object Oriented Programming First it was BASIC, then it was structures, now it's objects. C++ afi<;ionados feel, of course, that objects are so powerful, so encompassing that anything could be so defined. I hope they're not placing bets, because if they are, money's no object. C++ 2.0 page 8 An objective view of the newest C++. Training A Neural Network Now that you have a neural network what do you do with it? Part two of a fascinating series. Debugging C page 21 Pointers Using MEM Keep C fro111 (C)rashing your system. An AT Keyboard Interface Use an AT keyboard with your latest project. And More ... Understanding Logic Families EPROM Programming Speeding Up Your AT Keyboard ((CHAOS MADE TO ORDER~ Explore the Magnificent and Infinite World of Fractals with FRAC LS™ AN ELECTRONIC KALEIDOSCOPE OF NATURES GEOMETRYTM With FracTools, you can modify and play with any of the included images, or easily create new ones by marking a region in an existing image or entering the coordinates directly. Filter out areas of the display, change colors in any area, and animate the fractal to create gorgeous and mesmerizing images. Special effects include Strobe, Kaleidoscope, Stained Glass, Horizontal, Vertical and Diagonal Panning, and Mouse Movies. The most spectacular application is the creation of self-running Slide Shows. Include any PCX file from any of the popular "paint" programs. FracTools also includes a Slide Show Programming Language, to bring a higher degree of control to your shows. -
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. -
The Oxford Democrat
The Oxford Democrat. NUMBER 24 VOLUME 80. SOUTH PARIS, MAINE, TUESDAY, JUNE 17, 1913. where hit the oat "Hear Hear The drearily. "That's you look out for that end of the business. to an extent. low Voted Out the Saloons called ye! ye! poll· D. *ΆΚΚ. increase the aupply quite They he said. on | are now closed." Everyone drew a aigb nail on the head," "Mouey. ▲11 I want you to do 1b to pass this AMONG THE FARMERS. Some Kansas experiment· show an in- The following extract from λ lettei Auctioneer, DON'T HURRY OR WORRY of and went borne to aopper, ex- the mean and dirty thing that can here note." Lictjnsed crease after a crop of clover was turned 'rom Mrs. Benj. H. Fiab of Santa Bar relief, — who ate theirs world—that's «"»«· At Meals Follows. TH* cept tbe election board, the best man In the "Colonel Tod hunter," replied tlie »IU>. Dyspepsia "SPKED PLOW." under. The yield of corn was Increased >ara, Calif., may be of interest bott whip âû0TH and oat of pail· and boxes, and afterwards Thurs." "the Indorsement and the col- Moderate- 20 bushel· an acre, oats 10 bushels, rom the temperance and tbe suffrage Colonel the trouble. banker, Tera» I went to A serene mental condition and time began counting votes. aleep other man's mon- a Correspondence on practical agricultural topics potatoes 30 bushel*. itand point. "Ifs generally the lateral make this note good, and it's to chow your food is more la bearing them count. thoroughly aollcHed. -
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. -
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). -
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, -
Rendering Hypercomplex Fractals Anthony Atella [email protected]
Rhode Island College Digital Commons @ RIC Honors Projects Overview Honors Projects 2018 Rendering Hypercomplex Fractals Anthony Atella [email protected] Follow this and additional works at: https://digitalcommons.ric.edu/honors_projects Part of the Computer Sciences Commons, and the Other Mathematics Commons Recommended Citation Atella, Anthony, "Rendering Hypercomplex Fractals" (2018). Honors Projects Overview. 136. https://digitalcommons.ric.edu/honors_projects/136 This Honors is brought to you for free and open access by the Honors Projects at Digital Commons @ RIC. It has been accepted for inclusion in Honors Projects Overview by an authorized administrator of Digital Commons @ RIC. For more information, please contact [email protected]. Rendering Hypercomplex Fractals by Anthony Atella An Honors Project Submitted in Partial Fulfillment of the Requirements for Honors in The Department of Mathematics and Computer Science The School of Arts and Sciences Rhode Island College 2018 Abstract Fractal mathematics and geometry are useful for applications in science, engineering, and art, but acquiring the tools to explore and graph fractals can be frustrating. Tools available online have limited fractals, rendering methods, and shaders. They often fail to abstract these concepts in a reusable way. This means that multiple programs and interfaces must be learned and used to fully explore the topic. Chaos is an abstract fractal geometry rendering program created to solve this problem. This application builds off previous work done by myself and others [1] to create an extensible, abstract solution to rendering fractals. This paper covers what fractals are, how they are rendered and colored, implementation, issues that were encountered, and finally planned future improvements. -
Baris Parlan CV 2020 09
Curriculum Vitae Barıș Parlan I'm a sapiosexual earthling named Barış Parlan. An information technology expert living in Cyprus. Natural born curious and critical evolved into a nerd digital storyteller. Ph.D. candidate of remix theory and digital humanities. Works as consultant, teacher, graphic designer, advertiser, photographer, VJ, artist. Loves science, futurism, cyberpunk. Looks at the world from the window of critical theory. Practices Atheism and Polyamory. Details Web : www.bparlan.com : [email protected] E-Mail @bparlan : 0533 868 45 03 Mobile vcard Address : Alkan 10 Apt. #11, Salamis Str. Famagusta, Cyprus Date of Birth : 14/02/1985 Citizenship : TRNC, Republic of Turkey Martial Status : Married scan with your phone Educational Background to add your contacts . Eastern Mediterranean University, B.S. Degree at Computer Studies & I.T. Conference Participation Cyprus. 2003 - 2007 / 3,29 CGPA Parlan, B. (2017, March). Independent . Politecnico Di Milano, Game Development - Price of Freedom. M. A. Degree at Computer Engineering Paper presented at the International Italy. 2009 - 2010 / Dropped Conference on Cultural Studies, DAKAM Cultural Studies 17, Istanbul, TR. Eastern Mediterranean University, M. A. Degree at Visual Arts & Communication Design Cyprus. 2012 - 2014 / 3,84 CGPA . Eastern Mediterranean University, Ph.D. candidate at Communication Faculty Cyprus. 2014 - Ongoing / 3,68 CGPA Online Education . Social Psychology by Prof. Scott Plous Wesleyan University. Coursera, 2014 . Introduction to Computer Science and Programming Using Python by Prof. Eric Grimson MITx 6.00.1x. edX, 2016 . Introduction to Machine Learning by Andrew NG Stanford University. Coursera, 2017 . What is Data Science? . Python for Data Science and AI IBM. Coursera, 2019 IBM. -
Generating Fractals Using Complex Functions
Generating Fractals Using Complex Functions Avery Wengler and Eric Wasser What is a Fractal? ● Fractals are infinitely complex patterns that are self-similar across different scales. ● Created by repeating simple processes over and over in a feedback loop. ● Often represented on the complex plane as 2-dimensional images Where do we find fractals? Fractals in Nature Lungs Neurons from the Oak Tree human cortex Regardless of scale, these patterns are all formed by repeating a simple branching process. Geometric Fractals “A rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole.” Mandelbrot (1983) The Sierpinski Triangle Algebraic Fractals ● Fractals created by repeatedly calculating a simple equation over and over. ● Were discovered later because computers were needed to explore them ● Examples: ○ Mandelbrot Set ○ Julia Set ○ Burning Ship Fractal Mandelbrot Set ● Benoit Mandelbrot discovered this set in 1980, shortly after the invention of the personal computer 2 ● zn+1=zn + c ● That is, a complex number c is part of the Mandelbrot set if, when starting with z0 = 0 and applying the iteration repeatedly, the absolute value of zn remains bounded however large n gets. Animation based on a static number of iterations per pixel. The Mandelbrot set is the complex numbers c for which the sequence ( c, c² + c, (c²+c)² + c, ((c²+c)²+c)² + c, (((c²+c)²+c)²+c)² + c, ...) does not approach infinity. Julia Set ● Closely related to the Mandelbrot fractal ● Complementary to the Fatou Set Featherino Fractal Newton’s method for the roots of a real valued function Burning Ship Fractal z2 Mandelbrot Render Generic Mandelbrot set. -
Beacon Police Chief to Leave from Russia
[FREE] Serving Philipstown and Beacon PHOTOcentric Winners Page 9 DECEMBER 15, 2017 161 MAIN ST., COLD SPRING, N.Y. | highlandscurrent.com Beacon Police Chief to Leave Expected to take same position in Newburgh By Jeff Simms eacon Police Chief Doug Solomon is poised to be- Bcome the new chief of the Newburgh police depart- ment, succeeding Dan Camer- on, who retired in March after two years as acting chief. Solomon, who came to Bea- Beacon Police Chief Doug con in 2012 after a 24-year Solomon File photo career in law enforcement in Monticello in Sullivan County (including 10 years as chief), said on Dec. 12 that his appoint- ment has not been finalized, although “it certainly looks that way.” Newburgh’s city manager, Michael Ciaravino, has rec- ommended Solomon for the job. “What I like about Chief Solomon is that he was there for a significant part of the renaissance, or the rebirth, in the City of Beacon,” Ciaravino told the Newburgh City Council on Dec. 11. He said Solomon spoke “in the very first conversation about how the building department and police department can work together in a way that establishes the linkage be- SOUTHERN CHARM — Members of the cast of Steel Magnolias react during a performance at the Philipstown tween code enforcement and crime fighting.” Depot Theatre in Garrison. The show continues through Sunday, Dec. 17. Photo by Ross Corsair The Newburgh Civil Service (Continued on Page 6) From Russia, with Love The inside, inside, inside Her shop replaced the basket-and-wicker business her husband Frank had operated story on nesting dolls in the same location for 30 years. -
THIAGO JOSÉ CÓSER Possibilidades Da Produção Artística Via
THIAGO JOSÉ CÓSER Possibilidades da produção artística via prototipagem rápida: processos CAD/CAM na elaboração e confecção de obras de arte e o vislumbre de um percurso poético individualizado neste ensaio. Dissertação apresentada ao Instituto de Artes da Universidade Estadual de Campinas, para a obtenção do título de mestre em Artes. Área de concentração: Artes Visuais Orientador: Prof. Dr. Marco Antonio Alves do Valle Campinas 2010 3 FICHA CATALOGRÁFICA ELABORADA PELA BIBLIOTECA DO INSTITUTO DE ARTES DA UNICAMP Cóser, Thiago José. C89p Possibilidades da produção artística via Prototipagem Rápida: Processos CAD/CAM na elaboração e confecção de obras de arte e o vislumbre de um percurso poético individualizado neste ensaio. : Thiago José Cóser. – Campinas, SP: [s.n.], 2010. Orientador: Prof. Dr. Marco Antonio Alves do Valle. Dissertação(mestrado) - Universidade Estadual de Campinas, Instituto de Artes. 1. Prototipagem rápida. 2. Arte. 3. Sistema CAD/CAM. 4. Modelagem 3D. 5. escultura. I. Valle, Marco Antonio Alves do. II. Universidade Estadual de Campinas. Instituto de Artes. III. Título. (em/ia) Título em inglês: “Possibilities of Art via Rapid Prototyping: using CAD / CAM systems to create art works and a glimpse of a poetic route individualized essay.” Palavras-chave em inglês (Keywords): Rapid prototyping ; Art ; CAD/CAM systems. ; 3D modelling ; Sculpture. Titulação: Mestre em Artes. Banca examinadora: Prof. Dr. Marco Antonio Alves do Valle. Profª. Drª. Sylvia Helena Furegatti. Prof. Dr. Francisco Borges Filho. Prof. Dr. Carlos Roberto Fernandes. (suplente) Prof. Dr. José Mario De Martino. (suplente) Data da Defesa: 26-02-2010 Programa de Pós-Graduação: Artes. 4 5 Agradecimentos Ao meu orientador, profº Dr.