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## Description

## App Information Fractaldraw

- App NameFractaldraw
- Package Nameflo.newton
- UpdatedApril 18, 2017
- File Size2.0M
- Requires AndroidAndroid 3.0 and up
- Version4.2
- DeveloperFlorian Jasch
- Installs10,000+
- PriceFree
- CategoryEducation
- Developer
- Google Play Link

# Florian Jasch Show More...

Fractaldraw 4.2 APK

This app allows you to draw the Julia set of any rational functionby simply fixing the number, position and character (attractive orrepulsive) of fixed points in the complex plane. You don’t have toput in any formula! If you put a new fixed point, the correspondingMandelbrot set is shown which tells you in which regions the fixedpoint is attractive or repulsive. For experts: The character of thefixed points is structured by Newton’s method to find the zero of afactor (z-z_f)^p.But you don`t have to know any mathematicaldetails. Just play around with position number and character offixed points and try to understand intuitively their impact on theobtained picture.In this way you can draw really beautiful selfsimilar structures and discover intuitively results which arepartially not understood and may be not even known by actualmathematical research.To get an idea how it works choose the firstexample in the example gallery or press reset. You are now startingwith two attractive fixed points. Press the brush button to see theactual positions of the fixed points.The button with the Mandelbroticon shows you the Mandelbrot set corresponding to the actual fixedpoint indicated by a cross.Changing the position of the cross inthe Mandelbrot window below you can change the textures in thefixed point environments of the Julia set. Choose "fixedpointproperties" to see the power p which characterizes the fixed point(attractive if the real part is smaller than 0.5 or repulsive ifthe real part is larger than 0.5).For example a nice texture isobtained for p=0.8.Note that the Mandelbrot set is a map oftextures of the Julia set!Tip the second fixed point indicated by acircle (which then switches to a cross) to see its correspondingMandelbrot set and to change its properties by varying the positionof the cross in the lower window.In this way you can obtain thethird example if you choose p=0.8 for the first fixed point andp=-0.219+i*0.611 for the second (zoom in the upper window to seethe full structure).Press the brush to disable the change of fixedpoint positions before you zoom. By varying the position of thecross in the lower window you change the character of the actualfixed point and you can find an astonishing variety of fractalfigures. Especially the black cusps at the border of the Mandelbrotset are leading to interesting structures.With the "+/-" button youcan increase/decrease the number of fixed points in thenewtonfractal mode . If you Choose "make figure symmetric" in themenu you obtain the famous fractal for finding the zeros of z^n-1with Newton’s method if you putted n fixed points before.Varyingnumber position and character (textures) of the fixed points youcan use the app to draw a very large variety of self similarfractal structures. The texture of a fixed point is changed if youswitch on its corresponding Mandelbrot set. Note that it is anintrinsically mathematical problem that the Mandelbrot setsometimes switches strangely!This happens when the algorithm findsa different critical point (point with zero derivative of theiteration function). The example gallery serves as an inspirationof what can be done. But with some experience you can create muchmore interesting artwork. With the "save project" option it ispossible to save editable and zoomable projects to work onfurther.Tip long on a project to delete it. You can also explorethe Mandelbrot and Julia sets of the fractals corresponding to theiteration functions z^n+c for any power n.Just choose the famousquadratic mandelbrot set (last example) in the example gallery andpress the "+" or "-" Buttons to increase or decrease the power n.

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This is a simple app for drawing the Mandelbrot sets(https://en.wikipedia.org/wiki/Mandelbrot_set) and thecorresponding Julia fractals for the iteration functions z²+c, z³+cand z⁴+c. It uses new algorithms for coloring the escape dynamicwhich leads to extraordinary pictures of the environment of theMandelbrot and Julia fractals. Use the pattern button to change thecoloring algorithm for the escape dynamic.The iteration number isincreased automatically if you zoom to more calculation intensiveparts of the Mandelbrot sets. It can also be changed manually inthe settings.The volume up/down buttons are changing the colorgradient.

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Google Play I/O Award Winner for Best App of2017Learn how to speak like a native and unlock your foreign languagelearning superpowers with Memrise! Speak fluent Spanish, French,Japanese or Chinese and improve your grammar with easy beginner andintermediate language lessons using a fun, innovative approach fromthe free language learning app.Study new words, vocabulary and grammar with easy beginner andintermediate reading and writing lessons alongside over 15 millionpeople worldwide.Reading, writing and speaking fluent Spanish, Japanese, Chinese,Italian, French, German, Korean and other languages is easy withMemrise! Learn languages the fun way with next-generation mobilelearning, a rich variety of vocabulary and memory games, over30,000 easy-to-understand native speaker videos and interactivechatbots.Reading, writing and engaging in fluent, daily conversation is outof this world fun with Memrise!Foreign Language Learning: Top 5 Reasons to Download MemriseBeginner and intermediate Spanish, French, Japanese, Chinese,Italian and many other speaking, reading and writing foreignlanguage courses expertly created by a dedicated team oflinguistsStudy French, Spanish, Japanese (full and no script), and othervocabulary with content designed to push the boundaries of learningtechnologyStudy and learn languages with chatbots – hone a natural flow forfluent, daily conversationLearn a foreign language with native speaker videos – no actors,just real people!Vocabulary, memory and other fun language games help you learn andpractice your skills, including Difficult Words, Speed Review,Listening Skills and Classic ReviewStudy new words, beginner, intermediate and advanced vocabulary,pronunciation and practical grammar for daily conversation in yourfavorite languages including Japanese, Chinese, Korean andItalian!Study beginner Italian vocabulary for free before you fly to Romeand eat a pistachio gelato. Is Korean BBQ your favorite meal? Learnhow to order like a native speaker the next time you’re in Seoul.Check out our intermediate reading lessons and learn how to speakfluent German before donning the lederhosen for Oktoberfest.Working your way through an official Memrise course? Record andcompare your pronunciation to that of a native speaker.Memrise, the award-winning free language learning app:Google Play I/O Award Winner for Best App of 2017Editor’s ChoiceTop DeveloperBest of 2016 - Self ImprovementBest AppsFlirt in a foreign language with perfect pronunciation from memory,or impress locals with your advanced Chinese grammar knowledge thenext time you're on vacation. Got a free minute? Why not setyourself a challenge and learn two new words a day - you'll beamazed by how quickly you can pick it up! Whether it's reading inSpanish, challenging your memory skills with German articles orsimply being curious about Japanese, Memrise offers a unique andinteractive approach to the world of language learning.Learn useful, real-life foreign language skills on the go. Withpronunciation guides, beginner and intermediate courses, grammarskills and rich content, Memrise offers everything you need to havea compelling conversation in any foreign language! Download todayand start a conversation with the world around you.

Current Affairs GK - SSC IBPS IAS Exam Mock Tests 15.4.4 APK

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VCE Exam Simulator 4.3.3 APK

This is an Android version of popular test taking application VCEExam Simulator. It allows you to take tests from .vce files on thego.Notice: If you are having any problems using our app, pleasecontact us at [email protected] Unfortunately, Google Play doesnot provide us with contact details for users who leave feedback,so we are unable to help unless you contact us directly.

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