Download carotid function fractal

Author: b | 2025-04-24

Download Carotid Function Fractal latest version for Windows free. Carotid Function Fractal latest update: Aug

Carotid Function Fractal - paulbourke.net

AbstractWe introduce a fractal operator on \(\mathcal {C}[0,1]\) which sends a function \(f \in \mathcal {C}(I)\) to fractal version of f where fractal version of f is a super fractal interpolation function corresponding to a countable data system. Furthermore, we study the continuous dependence of super fractal interpolation functions on the parameters used in the construction. We know that the invariant subspace problem and the existence of a Schauder basis gained lots of attention in the literature. Here, we also show the existence of non-trivial closed invariant subspace of the super fractal operator and the existence of fractal Schauder basis for \(\mathcal {C}(I)\). Moreover, we can see the effect of the composition of Riemann-Liouville integral operator and super fractal operator on the fractal dimension of continuous functions. We also mention some new problems for further investigation. Access this article Log in via an institution Subscribe and save Get 10 units per month Download Article/Chapter or eBook 1 Unit = 1 Article or 1 Chapter Cancel anytime Subscribe now Buy Now Price excludes VAT (USA) Tax calculation will be finalised during checkout. Instant access to the full article PDF. Similar content being viewed by others Data availabilityData sharing not applicable to this article as no data sets were generated or analyzed during the current study.ReferencesBarnsley, M.F.: Fractal functions and interpolation. Constr. Approx. 2, 303–329 (1986)Article MathSciNet MATH Google Scholar Barnsley, M.F.: Fractals Everywhere. Academic Press, Orlando (1988)MATH Google Scholar Barnsley, M.F., Harrington, A.N.: The calculus of fractal interpolation functions. J. Approx. Theory. 57(1), 14–34 (1989)Article MathSciNet MATH Google Scholar Barnsley, M.F.: Fractals Super. Cambridge University Press, Cambridge (2006) Google Scholar Beer, G.: Metric spaces on which continuous functions are uniformly continuous and Hausdorff distance. Proc. Amer. Math. Soc. 95, 653–658 (1985)Article MathSciNet MATH Google Scholar Chandra, S., Abbas, S.: The calculus of bivariate fractal interpolation surfaces. Fractals 29(03), 2150066 (2021)Article MATH Google Scholar Chandra, S., Abbas, S.: Analysis of fractal dimension of mixed Riemann-Liouville integral, Numerical Algorithms. (2022)Falconer, K.J.: Fractal Geometry: Mathematical Foundations and Applications. John Wiley Sons Inc, New York (1990)MATH Google Scholar Gowrisankar, A., Uthayakumar, R.: Fractional calculus on fractal interpolation for a sequence of data with countable iterated function system. Mediterr J. Math. 13, 3887–3906 (2016)Article MathSciNet MATH Google Scholar Jachymski, J.: Continuous dependence of attractors of iterated function systems. J. Math. Anal. Appl. 198, 221–226 (1996)Article MathSciNet MATH Google Scholar Kapoor, G.P., Prasad, S.A.: Super fractal interpolation functions. Int. J. Nonlinear Sci. 19(1), 20–29 (2015)MathSciNet MATH Google Scholar Kapoor, G.P., Prasad, S.A.: Convergence of cubic spline super fractal interpolation functions. Fractals 22(1,2), 7 (2014)MATH Google Scholar Liang, Y.S.: Box dimensions of Riemann-Liouville fractional integrals of continuous functions of bounded variation. Nonlinear Anal. 72(11), 4304–4306 (2010)Article MathSciNet MATH

Carotid Function Fractal - paulbourke.org

Google Scholar Liang, Y.S.: Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions. Frac. Calc. Appl. Anal. 21(6), 1651–1658 (2019)Article MathSciNet MATH Google Scholar Limaye, B.V.: Linear Functional Analysis for Scientists and Engineers. Springer, Singapore (2016)Book MATH Google Scholar Mauldin, R.D., Urbański, M.: Dimensions and measures in infinite iterated function systems. Proc. London Math. Soc. 3(1), 105–154 (1996)Article MathSciNet MATH Google Scholar Nussbaum, R.D., Priyadarshi, A., Verduyn Lunel, S.: Positive operators and Hausdorff dimension of invariant sets. Trans. Amer. Math Soc. 364(2), 1029–1066 (2012)Article MathSciNet MATH Google Scholar Navascués, M.A.: Fractal polynomial interpolation. Z. Anal. Anwend. 25(2), 401–418 (2005)Article MathSciNet MATH Google Scholar Navascués, M.A.: Fractal approximation. Complex Anal. Oper. Theory 4(4), 953–974 (2010)Article MathSciNet MATH Google Scholar Navascués, M. A.: Affine fractal functions as bases of continuous functions, Quaest. Math. 1–20 (2014)Navascués, M.A.: New equilibria of non-autonomous discrete dynamical systems. Chaos Solitons Fractals 152, 111413 (2021)Article MathSciNet MATH Google Scholar Priyadarshi, A.: Lower bound on the Hausdorff dimension of a set of complex continued fractions. J. Math. Anal. Appl. 449(1), 91–95 (2017)Article MathSciNet MATH Google Scholar Read, C.J.: Quasinilpotent operators and the invariant subspace problem. J London Math. Soc. 56(3), 595–606 (1997)Article MathSciNet MATH Google Scholar Ri, S.I.: A new idea to construct the fractal interpolation function. Indag Math. 29(3), 962–971 (2018)Article MathSciNet MATH Google Scholar Ri, S.I.: Fractal functions on the Sierpinski gasket. Chaos, Solitons Fractals 138, 110142 (2020)Article MathSciNet MATH Google Scholar Ruan, H.J., Sub, W.-Y., Yao, K.: Box dimension and fractional integral of linear fractal interpolation functions. J Approx. Theory 161, 187–197 (2009)Article MathSciNet MATH Google Scholar Strotkin, G.: A modification of read’s transitive operator. J. Operator Theor. 55:1, 153–167 (2006)MathSciNet Google Scholar Schonefeld, S.: Schauder bases in spaces of differentiable functions. Bull. Amer. Math. Soc. 75, 586–590 (1969)Article MathSciNet MATH Google Scholar Secelean, N.A.: The fractal interpolation for countable systems of data, Beograd University Publikacije Electrotehn. Fak. Ser. Matematika 14, 11–19 (2003) Google Scholar Secelean, N.A.: Approximation of the attractor of a countable iterated function system. Gen. Math. 3, 221–231 (2009)MathSciNet MATH Google Scholar Secelean, N.A.: The existence of the attractor of countable iterated function systems. Mediterr. J. Math. 9, 61–79 (2012)Article MathSciNet MATH Google Scholar Vijender, N.: Bernstein fractal trigonometric approximation. Acta Appl. Math. 159, 11–27 (2019)Article MathSciNet MATH Google Scholar Vijender, N.: Bernstein fractal approximation and fractal full Müntz theorems. Electron. Trans. Numer. Anal. 51, 1–14 (2019)Article MathSciNet MATH Google Scholar Verma, S., Viswanathan, P.: A fractalization of rational trigonometric functions. Mediterr. J. Math. 17(3), 1–23 (2020)Article MathSciNet MATH Google Scholar Wang, H.Y., Yu, J.S.: Fractal interpolation functions with variable parameters and their analytical properties. J. Approx. Theory 175, 1–18 (2013)Article MathSciNet MATH Google Scholar Download referencesAcknowledgementsWe are thankful to the anonymous

Carotid Function Fractal( )V1.10 -

Best shows structures made of mainly fat (fluids are dark / black; fat is bright / white). T2w - T2 weighted image presents structures made of both water and fat (fat and fluids are bright). PD - Proton density is handy for examination of muscles and bones. FLAIR - Fluid-attenuated inversion recovery best shows the brain. It is useful for identifying central nervous system disease, such as cerebrovascular insults, multiple sclerosis and meningitis. DWI - Diffusion weighted imaging detects distribution of fluids (extra- and intra- cellular) within tissues. As the balance between fluid compartments is altered in some conditions (infarctions, tumors), DWI is useful for both structural and functional soft tissue assessment. Flow sensitive - examines the flow of body fluids but without using contrast agents. This method examines if everything is okay with the cerebrospinal fluid flow and blood flow through the vessels. MRI is mostly used for neuroimaging (NMRI), musculoskeletal, gastrointestinal and cardiovascular system assessments. Ultrasonography Ultrasonography uses high frequency sound waves emitted from a transducer through a person's skin. These sounds echo from the contours of the inner body structures bouncing back to the transducer, which then translates them into a pixelated image displayed on the connected monitor. The density of the tissues here defines how echogenic they are, meaning what amount of sound will they resonate back (echo) or pass through themselves. Very solid tissues (bones) are hyperechoic and are shown as white, loose structures are hypoechoic and shown gray, while fluid is anechoic and is shown as black. Ultrasound shows processes in real time, which is why it is useful for immediate assessment of certain structures. It has many applications, such as tracking pregnancy progress (obstetric ultrasound), pathology screening (e.g. breast cancer) and examining the content of hollow organs (e.g. gallbladder). Ultrasonography adjusted for examining blood flow through arteries and veins is called Doppler ultrasonography, of which transcranial ultrasonography and carotid ultrasonography are nice examples. The former examines brain blood flow and the latter examines flow through the carotid arteries. Nuclear medicine imaging Brain PET scan Nuclear medicine imaging is used to visualize the function rather than the structure of specific body parts. A radiopharmaceutical (radioactive pharmaceutical) is administered to the patient (intravenously) and images are created of the passage, accumulation or excretion of that product. This provides information on the function of the organ/s in question. One common nuclear medicine imaging technique is positron. Download Carotid Function Fractal latest version for Windows free. Carotid Function Fractal latest update: Aug Download Carotid Function Fractal latest version for Windows free. Carotid Function Fractal latest update: Aug

Carotid Function Fractal for Windows - CNET Download

We’re sorry, something doesn't seem to be working properly. Please try refreshing the page. If that doesn't work, please contact support so we can address the problem. AbstractFractal geometry has unique advantages for a broad class of modeling problems, including natural objects and patterns. This paper presents an approach to the construction of fractal surfaces by triangulation. After introducing the notion of iterated function systems (IFSs), we prove theoretically that the attractors of this construction are continuous fractal interpolation surfaces (FISs). Two fast, parallel, and iterative algorithms are also provided. Several experiments in natural phenomena simulation verify that this method is suitable for generating complex 3D shapes with self-similar patterns. Access this article Log in via an institution Subscribe and save Get 10 units per month Download Article/Chapter or eBook 1 Unit = 1 Article or 1 Chapter Cancel anytime Subscribe now Buy Now Price excludes VAT (USA) Tax calculation will be finalised during checkout. Instant access to the full article PDF. Similar content being viewed by others Explore related subjects Discover the latest articles, news and stories from top researchers in related subjects. ReferencesBarnsley MF (1986) Fractal function and interpolation. Constr Approx 2:303–329 Google Scholar Barnsley MF (1988) Fractals everywhere. Academic Press, New York Google Scholar Demko S, Hodges L. Naylor B (1985) Construction of fractal objects with iterated function systems. Comput Graph 19:271–278 Google Scholar Falconer K (1990) Fractal geometry, mathematical foundations and applications. Wiley, New York Google Scholar Fournier A, Fussell D, Carpenter L (1982) Computer rendering of stochastic models. Commun ACM 25:371–384 Google Scholar Geronimo JS, Hardin D (1993) Fractal interpolation surfaces and a related 2D nuetiresolution analysis. J Math Anal Appl 176:561–586 Google Scholar Hart JC, Lescinsky GW, Sandin DJ, DeFanti TA, Kauffman LH (1993) Scientific and artistic investigation of multidimensional fractals on the AT&T pixel machine. Visual Comput 9:346–355 Google Scholar Lewis JP (1987) Generalized stochastic subdivision. ACM Trans graph 6:167–190 Google Scholar Mandelbrot BB (1982) The fractal geometry of nature. Freeman, New York Google Scholar Massopust PR (1990) Fractal surfaces. J Math Anal Appl 151:275–290 Google Scholar Miyata K (1990) A method of generating stone wall patterns. Comput Graph 24:387–394 Google Scholar Nailiang Z, Yiwen J, Sijie L (1991) An approach to the synthesis of realistic terrain. In: Staudhammer J, Qunsheng P (ed) Proceedings of CAD/Graphics '91, International Academic Publishers, Beijing, pp 31–35 Google Scholar Oppenheimer PE (1986) Real-time design and animation of

Carotid Function Fractal for Windows - Free download and

 Fractal Morphing Screen SaverFractal Morphing Screen Saver is a screen saver for Windows. Fractals fascinate us with their beauty and attractiveness. And as to morphing it emphasizes it to a great extent. According to many people's opinion fractals produce a soothing and relaxing ...Category: Screen SaversDeveloper: SaNaPe Software| Download | Price: $15.95AdvertisementVisual Fractal v.1.7With this interesting fractal software, you can use Newton's method to solve a complex equation and show the fractal graph in the plot area. Mandelbrot set and Julia set can also be plotted. Graphs created can be saved as bmp files. With this interesting ...Category: MathematicsDeveloper: GraphNow| Download | Buy: $30.00Fractal Terrains Pro v.2.2.0.4New fractal types give a whole new look to your worlds. World-crafting lets you paint climate, and FT Pro will build the terrain to match. You can overlay multiple transparencies to add clouds and other real-life detail. You can convert color contoured ...Category: GamesDeveloper: profantasy| Download | Buy: $102.00Amazing Fractal Visions v.3.0Amazing Fractal Visions is a complex image of extraordinary beauty which can arise out of fairly simple mathematical functions and then by selectively modifying these formulas, changing coloring algorithms.Fractals are a unique digital art form using ...Category: UtilitiesDeveloper: Fractal Arts| Download | Buy: $15.00Fractal Flurries v.1.0The Fractal Flurries screen saver displays endless falling snow over whimsical winter backgrounds or your own desktop. Each snowflake pattern is mathematically generated from thousands of possibilities for a truly one-of-a-kind show. Built-in scenes ...Category: Screen SaversDeveloper: Ten Foot Pole Software| Download | Price: $5.00Fractal Science Kit v.1.22The Fractal Science Kit fractal generator is a Windows program to generate a mathematical object called a fractal. The term fractal was coined by Benoit Mandelbrot in 1975 in his book Fractals: Form, Chance, and Dimension. In 1979, while studying the ...Category: CADDeveloper: Hilbert, LLC| Download | Price: $29.95 Pages : 1 | 2 >

Carotid Function Fractal - Paul Bourke

Download your copy of Ultra Fractal 6 here: Version 6.06 (64-bit) — Windows 11, 10, 8, 7, Vista Recommended if you are using a 64-bit Windows version Version 6.06 (32-bit) — Windows 10, 8, 7, Vista and XP Only download this version if you are still using a 32-bit Windows version After installing, Ultra Fractal will run as a free trial version for 30 days. If you already have purchased a license key, simply enter it when Ultra Fractal starts to unlock full functionality. Installation (Windows) After downloading, double-click on the downloaded file to install Ultra Fractal. When you first start Ultra Fractal, a welcome screen will appear that provides access to tutorials and online help to help you to get started quickly. Evaluation The downloaded evaluation version is fully functional, except that exported and rendered images are marked as written by an evaluation copy. If you have a license for Ultra Fractal 6, enter it when starting the program to turn the trial version into a full version. If you want to keep using Ultra Fractal after the 30-day trial period, you must purchase a copy in the Ultra Fractal shop. You can also purchase a site license if you need more than one copy.

PS (Carotid Function Fractal) v1.0

Color as a point enclosed in a three-dimensional cube. However, the same point has cylindrical coordinates in HSB:Hue Saturation Brightness CylinderThe three HSB coordinates are:Hue: The angle measured counterclockwise between 0° and 360°Saturation: The radius of the cylinder between 0% and 100%Brightness: The height of the cylinder between 0% and 100%To use such coordinates in Pillow, you must translate them to a tuple of RGB values in the familiar range of 0 to 255:Pillow already provides the getrgb() helper function that you can delegate to, but it expects a specially formatted string with the encoded HSB coordinates. On the other hand, your wrapper function takes hue in degrees and both saturation and brightness as normalized floating-point values. That makes your function compatible with stability values between zero and one.There are a few ways in which you can associate stability with an HSB color. For example, you can use the entire spectrum of colors by scaling stability to 360° degrees, use the stability to modulate the saturation, and set the brightness to 100%, which is indicated by 1 below:To paint the interior black, you check that the stability of a pixel is exactly one and set all three color channels to zero. For stability values less than one, the exterior will have a saturation that fades with distance from the fractal and a hue that follows the HSB cylinder’s angular dimension:The Mandelbrot Set Visualized Using the HSB Color ModelThe angle increases as you get closer to the fractal, changing colors from yellow through green, cyan, blue, and magenta. You can’t see the red color because the fractal’s interior is always painted black, while the furthest part of the exterior has little saturation. Note that rotating the cylinder by 120° allows you to locate each of the three primary colors (red, green, and blue) on its base.Don’t hesitate to experiment with calculating the HSB coordinates in different ways and see what happens!ConclusionNow you know how to use Python to plot and draw the famous fractal discovered by Benoît Mandelbrot. You’ve learned various ways of visualizing it with colors as well as in grayscale and black and white. You’ve also seen a practical example illustrating how complex numbers can help elegantly express a mathematical formula in Python.In this tutorial, you learned how to:Apply complex numbers to a practical problemFind members of the Mandelbrot and Julia setsDraw these sets as fractals using Matplotlib and PillowMake a colorful artistic representation of the fractalsYou can download the complete source code used throughout this tutorial by clicking the link below:. Download Carotid Function Fractal latest version for Windows free. Carotid Function Fractal latest update: Aug Download Carotid Function Fractal latest version for Windows free. Carotid Function Fractal latest update: Aug

Carotid Function Fractal - Fractal Curve Photoshop Plugin

It introduces its users to the world of Fractal geometry by generating high-quality images and 3D scenes. Fractal images are a mixture of extremely irregular curves which are identical in shape to their own larger or smaller parts when magnified... Category: Multimedia & Design / Multimedia App'sPublisher: jalada GmbH, License: Shareware, Price: USD $11.99, File Size: 20.5 MBPlatform: Windows Explore the wonderful world of Fractals. Explore the wonderful world of Fractals. Fractals are complex, detailed geometric patterns found throughout the natural world. Plants, clouds, coast lines, blood veins and snow flakes are examples of natural fractals. Ultimate Fractal generates Fractal designs of amazing detail. They are created using mathematical formulae and are infinite in their ability to be viewed in ever... Category: Multimedia & Design / Multimedia App'sPublisher: Fotoview, License: Shareware, Price: USD $39.00, File Size: 7.0 MBPlatform: Windows Digital art screensaver of original, award winning fractal art images and designs. Digital art screensaver of original, award winning Fractal art images and designs. Fractals are a complex art form using mathematical formulas to create images and designs of incredible diversity, detail, color and light. Category: Desktop Enhancements / ScreensaversPublisher: Fractalarts.com, License: Freeware, Price: USD $0.00, File Size: 2.4 MBPlatform: Windows, Mac, 2K "Generator Fraktali" - freeware program for exploration of the Mandelbrot, Newton and Julia set. "Generator Fraktali" - freeware program for exploration of the Mandelbrot, Newton and Julia set. Main Features: - generate the Mandelbrot set (about twenty different fractals); - generate the Julia Fractal; - generate the Newton Fractal; - a Fractal size up to 2048 x 2048, - easy palette editor; - export the Fractal... Category: Multimedia & Design / Multimedia App'sPublisher: Krzysztof Wojtas, License: Shareware, Price: USD $0.00, File Size: 0Platform: Windows Fractal Studio is a program for generating fractals of different kinds. Fractal Studio is a program for generating fractals of different kinds. We are now within a bigger reconstruction phase so it could need some time until we release the next version of our program. In the actual version fractals with complex numbers, quaternions, and a new type: time-discreet-phase-planes can be rendered. A raytracer can be switched... Category: Business & Finance / ApplicationsPublisher: Berlin Fractal Factory, License: Freeware, Price: USD $0.00, File Size: 2.9 MBPlatform: Windows Ultimate Fractal HD Video ScreenSaver, Seamless Loop, Full Screen for all Displays, Install and Uninstall Support, 15 Day Trial. . Ultimate Fractal HD Video ScreenSaver, Seamless Loop, Full Screen for all Displays, Install and Uninstall Support, 15 Day Trial. Category: Desktop Enhancements / ScreensaversPublisher: 3dfiction.com, License: Shareware, Price: USD $9.95, File Size: 36.0 MBPlatform: Windows The Fractal wallpaper download has been resized to fit within this window. The Fractal wallpaper download has been resized to fit within this window. Click on the wallpaper to see it at full size; it will appear at full size if you save it or set it as your desktop wallpaper. Post Wallpapers to MySpace, Friendster, Hi5, Orkut, and more. Download this wallpaper for Windows, Vista, Mac or your mobile device. To set

Carotid-Kundalini Fractal - mathhand.com

This tutorial will guide you through a fun project involving complex numbers in Python. You’re going to learn about fractals and create some truly stunning art by drawing the Mandelbrot set using Python’s Matplotlib and Pillow libraries. Along the way, you’ll learn how this famous fractal was discovered, what it represents, and how it relates to other fractals.Knowing about object-oriented programming principles and recursion will enable you to take full advantage of Python’s expressive syntax to write clean code that reads almost like math formulas. To understand the algorithmic details of making fractals, you should also be comfortable with complex numbers, logarithms, set theory, and iterated functions. But don’t let these prerequisites scare you away, as you’ll be able to follow along and produce the art anyway!In this tutorial, you’ll learn how to:Apply complex numbers to a practical problemFind members of the Mandelbrot and Julia setsDraw these sets as fractals using Matplotlib and PillowMake a colorful artistic representation of the fractalsTo download the source code used in this tutorial, click the link below:Understanding the Mandelbrot SetBefore you try to draw the fractal, it’ll help to understand what the corresponding Mandelbrot set represents and how to determine its members. If you’re already familiar with the underlying theory, then feel free to skip ahead to the plotting section below.The Icon of Fractal GeometryEven if the name is new to you, you might have seen some mesmerizing visualizations of the Mandelbrot set before. It’s a set of complex numbers, whose boundary forms a distinctive and intricate pattern when depicted on the complex plane. That pattern became arguably the most famous fractal, giving birth to fractal geometry in the late 20th century:Mandelbrot Set (Source: Wikimedia, Created by Wolfgang Beyer, CC BY-SA 3.0)The discovery of the Mandelbrot set was possible thanks to technological advancement. It’s attributed to a mathematician named Benoît Mandelbrot. He worked at IBM and had access to a computer capable of what was, at the time, demanding number crunching. Today, you can explore fractals in the comfort of your home, using nothing more than Python!Fractals are infinitely repeating patterns on different scales. While philosophers have argued for centuries about the existence of infinity, fractals do have an analogy in the real world. It’s a fairly common phenomenon occurring in nature. For example, this Romanesco cauliflower is finite but has a self-similar structure because each part of the vegetable looks like the whole, only smaller:Fractal Structure of a Romanesco CauliflowerSelf-similarity can often be defined mathematically with recursion. The Mandelbrot set isn’t perfectly self-similar as it contains slightly different copies of itself at smaller scales. Nevertheless, it can still be described by a recursive function in the complex domain.The Boundary of Iterative StabilityFormally, the. Download Carotid Function Fractal latest version for Windows free. Carotid Function Fractal latest update: Aug Download Carotid Function Fractal latest version for Windows free. Carotid Function Fractal latest update: Aug

Carotid-Kundalini Fractal - from Wolfram

It's been a few days since my last post because honestly, after understanding the basics behind what generates a fractal, especially the Mandelbrot, the next inevitable step for me was to download as many different Fractal programs as I could and start experimenting :) ... It has been a virtual mushroom trip, to say the least.For now though, let me stick to Fractal eXtreme. Such a nifty little program! So much more to it than one initially thinks... You've probably played around with it a bit yourself already but for the sake of being complete, I'll start at the beginning.The first obvious thing is that you need to do is choose a Set when the program opens. It's default is the standard and much loved Mandelbrot set, but you can choose from many others.Listed below the Mandelbrot are more Mandelbrots using different powers in their formulas. As it explains in the program, the higher the exponent, the more nodes the Mandelbrot has (always one less node than the power).There's also an option called Mandelbrot Arbitrary Power, which is a lot of fun. You know that the normal Mandelbrot set has the function f(z)=z^2 + c behind it. Well, with the Arbitrary Set, you can set the exponent to any real number you want. The resulting fractals can be out of this world.Then, just when you thought the Arbitrary Power was cool, along comes: The Mandelbrot Complex Power ... That's right: z^(some complex number) + c ... Instead of jading you to the adjectives 'incredible' and 'amazing', let me show you. Examples to follow of selected Mandelbrots of which I've spoken about so far.Mandelbrot normal exponent changes :Standard Mandelbrot SetMandelbrot^3 [ f(z)=z^3+c ]Mandelbrot^8 [ f(z)=z^8 + c ]Mandelbrot^3.5Mandelbrot^2.5Mandelbrot^1.7Complex Power changes:Mandelbrot^(8,1.73i)Mandelbrot^(3.1,2.5i)Mandelbrot^(2.08,0.36i)One thing you'll notice with making changes to the exponent in these ways is that, the higher the exponent, the longer it takes for the program to render a good-looking image, especially the more you zoom in. But you don't need to zoom in very far to discover really beautiful fractals. Go ahead and try some of the different Mandelbrots, experiment with colours, etc. To change the Arbitrary and Complex powers once you've loaded the default, you need to go to Options > Plug-in Setup.And there you have it :) Hope you're having fun :) ... Fractal eXtreme has a few other very interesting options for creating new Fractals (Auto Quadratic, the "Hidden Mandelbrot", Barnsley 1, 2 and 3, Classic and Complex Newton, and Nova/NovaM), but those I'll show you in the next post.