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Fractal Explorer Fractal eXtreme Downloads Fractal eXtreme Fractal Theory Fractal eXtreme Relicensing FX Fractal eXtreme Software Fractal Forge 2 Fractal Forge Fractal Laboratory Fractal eXtreme, free download. Fractal eXtreme 2.230: Fractal eXtreme by Cygnus Software Fractal eXtreme is a powerful fractal exploration software
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License: All 1 2 | Free Fractal Mapper is a high-powered mapping system that lets gamers create a wide variety of of maps - dungeons, continents, cities, and more! Fractal Mapper is a high-powered mapping system that lets gamers create a wide variety of of Maps - dungeons, continents, cities, and more! With it's easy to use interface, powerful features, and unique capabilities, making high quality Maps with Fractal Mapper is a breeze! Main features: - Fractal based drawing tools for realistic... Category: Games / Tools & EditorsPublisher: NBOS Software, License: Shareware, Price: USD $0.00, File Size: 39.4 MBPlatform: Windows The Fractal Science Kit fractal generator is a Windows program to generate a mathematical object called a fractal. The 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 Julia set, Mandelbrot discovered what is now called the Mandelbrot set and inspired a generation of mathematicians and... Category: Home & Education / MathematicsPublisher: Hilbert, LLC, License: Shareware, Price: USD $0.00, File Size: 0Platform: Windows Fractal eXtreme is a fast, easy to use fractal exploration program for Windows, especially Windows XP and Windows Vista (64-bit version available for 64-bit Vista). Fractal eXtreme is a fast, easy to use Fractal exploration program for Windows, especially Windows XP and Windows Vista (64-bit version available for 64-bit Vista). Fractal eXtreme features real-time interactive zooming on the Mandelbrot set and many other fractals, an innovative palette editor, multi-level undo, anti-aliased Fractal images, and effortless creation... Category: Multimedia & Design / Multimedia App'sPublisher: Cygnus Software, License: Shareware, Price: USD $34.95, File Size: 11.9 MBPlatform: Windows Fractal Fantasy is a wonderful, easy to use utility for drawing self-similar graphics. Fractal Fantasy is a wonderful, easy to use utility for drawing self-similar graphics.Fractal Fantasy offers you a very simple but powerful method to draw realistic or artistic Fractal objects such as leaves, trees, grasses or various fantastic things else. Just drawing several shaping triangles, then a self-similar graphics will be generated automatically by the program. Category: Multimedia & Design / Multimedia App'sPublisher: WiseHuman Software, License: Shareware, Price: USD $14.95, File Size: 1.2 MBPlatform: Windows Ultra Fractal is a tool to create fractal art, by which images are created by repeated fractal formula calculations. Ultra Fractal is a tool to create Fractal art, by which images are created by repeated Fractal formula calculations. These formulas are mathematical indeed, but the resulting pictures are beautiful and complex. You can create your own fractals, change the colors, add layers, use masks, and even create animations using this software. Ultra Fractal goes a... Category: Multimedia & Design / Multimedia App'sPublisher: Frederik Slijkerman, License: Shareware, Price: USD $79.00, File Size: 6.3 MBPlatform: Windows Fractal Morphing Screen Saver is a screen saver for Windows. Fractal Morphing Screen Saver is a screen saver for Windows. Fractals fascinate us with their beauty and attractiveness. And as
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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.Free extreme fractal Download - extreme fractal for Windows
To morphing it emphasizes it to a great extent. According to many people's opinion fractals produce a soothing and relaxing effect on them. If you watch this screensaver periodically it will help you release your eyes weariness. Despite its small size, the... Category: Desktop Enhancements / ScreensaversPublisher: SaNaPe Software, License: Shareware, Price: USD $15.95, File Size: 244.0 KBPlatform: Windows Fractal Dragon Screensaver is a simple but nice screensaver which shows a fractal dragon. Fractal Dragon Screensaver is a simple but nice screensaver which shows a Fractal dragon. The dragon is shown in a navy blue background and it is formed by different fractals that are rotated. These fractals (which look like small twisters) get bigger and bigger until they can't expand any more and then, they get small again. This creates a beautiful and original effect.... Category: Desktop Enhancements / ScreensaversPublisher: SaversPlanet.com, License: Freeware, Price: USD $0.00, File Size: 913.0 KBPlatform: Windows First indicator named Fractal Line, automatically draw line by Fractal point. First indicator named Fractal Line, automatically draw line by Fractal point.Second indicator named 3D Oscillator, smooth curve than regular oscillator.Thid indicator named Forecast Oscillator, it can cross fast than conventional oscillator, sometimes predict movements before it happen. Category: Multimedia & Design / Multimedia App'sPublisher: system forex, License: Freeware, Price: USD $0.00, File Size: 3.7 KBPlatform: Windows FractalZplot is an interactive application for generating fractal images. FractalZplot is an interactive application for generating Fractal images. The program currently supports the Julia sets, Mandelbrot set, Newton's method, and Phoenix curves, with millions of mapping variations. 3D Fractal types include quaternion, hypercomplex, orbital fractals and lsystems, in addition to the original height field and landscape types. Category: Multimedia & Design / Multimedia App'sPublisher: Mystic Fractal, License: Shareware, Price: USD $30.00, File Size: 2.1 MBPlatform: Windows Have you been looking for a girlish wallpaper for you desktop? Have you been looking for a girlish wallpaper for you desktop? Then Purple Fractal is the right one for you. A beautiful purple model will enhance your desktop's aspect. With Purple Fractal, you don't have to look for your favorite wallpaper in every folder from your PC, just download the application, install it, and your desktop image will change automatically. Category: Desktop Enhancements / Misc. ThemesPublisher: WallpaperPimper, License: Freeware, Price: USD $0.00, File Size: 128.0 KBPlatform: Windows Incendia is a 3D Multiprocessor Fractal Engine that allows you to explore the realm of the 3D fractals. Incendia is a 3D Multiprocessor Fractal Engine that allows you to explore the realm of the 3D fractals. INCENDIA offers 3D Baseshapes for Fractal based constructions (includes six different displacement mapping baseshapes), Multiple Rendering Styles (Including volumetric fog and many new render shaders) and much more. Category: Multimedia & Design / VideoPublisher: Incendia.Net, License: Freeware, Price: USD $0.00, File Size: 13.5 MBPlatform: Windows Jalada Fractual is a program that allows users to design amazing visualizations and images by using fractal geometry. Jalada Fractual is a program that allows users to design amazing visualizations and images by using Fractal geometry.. Fractal Explorer Fractal eXtreme Downloads Fractal eXtreme Fractal Theory Fractal eXtreme Relicensing FX Fractal eXtreme Software Fractal Forge 2 Fractal Forge Fractal Laboratory Fractal eXtreme, free download. Fractal eXtreme 2.230: Fractal eXtreme by Cygnus Software Fractal eXtreme is a powerful fractal exploration softwareFree fractal extrem Download - fractal extrem for Windows
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 >Fractal eXtreme - FREE Download Fractal eXtreme 1.902
Presented at MGUS-87, Redwood City, CA. Google Scholar Goodchild, M.F., 1980, Fractals and the accuracy of geographical measures: Math. Geol. 12, 85–98.Article Google Scholar Goodchild, M.F., 1982, The fractional Brownian process as a terrain simulation model: Model. Simulation 13, 1133–1137. Google Scholar Goodchild, M.F., and Mark, D.M., 1987, The fractal nature of geographic phenomena: Ann. AAG 77, 265–278. Google Scholar Goodchild, M.F., Klinkenberg, B., Glieca, M., and Hasan, M., 1985, Statistics of hydrologic networks on fractional Brownian surfaces: Model. Simulation 16, 317–323. Google Scholar Hakanson, L., 1978, The length of closed geomorphic lines: Math. Geol. 10, 141–167.Article Google Scholar Hobson, R.D., 1972, Surface roughness in topography: A quantitative approach: in Spatial Analysis in Geomorphology, R.J. Chorley, (Ed.): Methuen, London, pp. 221–245. Google Scholar Hunt, C.B., 1967, Physiography of the United States: Freeman, San Francisco. Google Scholar Kagan, Y.Y., and Knopoff, L., 1980, Spatial distribution of earthquakes: The two-point correlation function: Geophys. J. R. Astron. Soc. 62, 303–320. Google Scholar Kadanoff, L.P., 1986, Fractals, where’s the physics?: Phys. Today, February, 1986. Google Scholar Kennedy, S.K., and Lin, W.-H., 1986, Fract-A fortran subroutine to calculate the variables necessary to determine the fractal dimension of closed forms: Comput. Geosci. 12, 705–712.Article Google Scholar Kent, C., and Wong, J., 1982, An index of littoral zone complexity and its measurement: Can. J. Fish Aquatic Sci. 39, 847–853.Article Google Scholar Klinkenberg, B., 1988, Tests of a fractal model of topography: Ph.D. thesis, University of Western Ontario. Google Scholar Lovejoy, S., 1982, Area-perimeter relation for rain and cloud areas: Science 216, 185–187.Article Google Scholar Lovejoy, S., and Mandelbrot, B.B., 1985, Fractal properties of rain, and a fractal model: Tellus 37 (A), 209–232. Google Scholar Lovejoy, S., and Schertzer, D., 1985, Generalized scale invariance in the atmosphere and fractal models of rain: Water Resources Res. 21(8), 1233–1250.Article Google Scholar Lovejoy, S., and Schertzer, D., 1986, Scale invariance, symmetries, fractals, and stochastic simulations of atmospheric phenomena: Bull. Am. Meteorol. Soc. 67, 21–32.2.0.CO;2" data-track-item_id="10.1175/1520-0477(1986)0672.0.CO;2" data-track-action="Article reference" data-track-value="Article reference" href=" aria-label="Article reference 32" data-doi="10.1175/1520-0477(1986)0672.0.CO;2">Article Google Scholar Lovejoy, S., and Schertzer, D., 1988, Extreme variability, scaling and fractals in remote sensing: analysisFractal eXtreme 2.220 free download. Fractal eXtreme, is a
--> Hi all,I'm very happy to announce the release of Ultra Fractal 6.05. This free update for existing version 6 users improves anti-aliasing quality when rendering to disk (especially with higher Depth settings), along with various bug fixes and small improvements. You can download it here: here for a full list of changes in this version: let me know if you experience any problems with the update.Note: because these downloads are new, Windows might flag them as an uncommon download. In this case, click the "More info" link in the dialog that appears when trying to install. Verify that the publisher is Phreakware (my company) and click "Run anyway" to install. Hi all,I'm very happy to announce the release of Ultra Fractal 6.05. This free update for existing version 6 users improves anti-aliasing quality when rendering to disk (especially with higher Depth settings), along with various bug fixes and small improvements. You can download it here: here for a full list of changes in this version: let me know if you experience any problems with the update.Note: because these downloads are new, Windows might flag them as an uncommon download. In this case, click the "More info" link in the dialog that appears when trying to install. Verify that the publisher is Phreakware (my company) and click "Run anyway" to install. Ultra Fractal author edited Jun 29 '22 at 1:03 pm --> Improved the anti-aliasing algorithm used by the Render to Disk feature to produce better results and take less CPU time, especially with Depth settings larger than 1.Docked Mode tool windows now only show the mode of the fractal window they belong to, which fixes problems with e.g. Explore mode and multiple fractal windows.Previews in eyedropper mode now get a higher calculation priority, so they also work well if the fractal is currently calculating.Double-clicking a float value in an edit control now also includes the sign in the selection on Windows.Implemented Esc shortcut to cancel the eyedropper.Oh yes! I'm loving these most of all! Thanks and keep up the great work! - Improved the anti-aliasing algorithm used by the Render to Disk feature to produce better results and take less CPU time, especially with Depth settings larger than 1.- Docked Mode tool windows now only show the mode of the fractal window they belong to, which fixes problems with e.g. Explore mode and multiple fractal windows.- Previews in eyedropper. Fractal Explorer Fractal eXtreme Downloads Fractal eXtreme Fractal Theory Fractal eXtreme Relicensing FX Fractal eXtreme Software Fractal Forge 2 Fractal Forge Fractal Laboratory Fractal eXtreme, free download. Fractal eXtreme 2.230: Fractal eXtreme by Cygnus Software Fractal eXtreme is a powerful fractal exploration softwareComments
License: All 1 2 | Free Fractal Mapper is a high-powered mapping system that lets gamers create a wide variety of of maps - dungeons, continents, cities, and more! Fractal Mapper is a high-powered mapping system that lets gamers create a wide variety of of Maps - dungeons, continents, cities, and more! With it's easy to use interface, powerful features, and unique capabilities, making high quality Maps with Fractal Mapper is a breeze! Main features: - Fractal based drawing tools for realistic... Category: Games / Tools & EditorsPublisher: NBOS Software, License: Shareware, Price: USD $0.00, File Size: 39.4 MBPlatform: Windows The Fractal Science Kit fractal generator is a Windows program to generate a mathematical object called a fractal. The 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 Julia set, Mandelbrot discovered what is now called the Mandelbrot set and inspired a generation of mathematicians and... Category: Home & Education / MathematicsPublisher: Hilbert, LLC, License: Shareware, Price: USD $0.00, File Size: 0Platform: Windows Fractal eXtreme is a fast, easy to use fractal exploration program for Windows, especially Windows XP and Windows Vista (64-bit version available for 64-bit Vista). Fractal eXtreme is a fast, easy to use Fractal exploration program for Windows, especially Windows XP and Windows Vista (64-bit version available for 64-bit Vista). Fractal eXtreme features real-time interactive zooming on the Mandelbrot set and many other fractals, an innovative palette editor, multi-level undo, anti-aliased Fractal images, and effortless creation... Category: Multimedia & Design / Multimedia App'sPublisher: Cygnus Software, License: Shareware, Price: USD $34.95, File Size: 11.9 MBPlatform: Windows Fractal Fantasy is a wonderful, easy to use utility for drawing self-similar graphics. Fractal Fantasy is a wonderful, easy to use utility for drawing self-similar graphics.Fractal Fantasy offers you a very simple but powerful method to draw realistic or artistic Fractal objects such as leaves, trees, grasses or various fantastic things else. Just drawing several shaping triangles, then a self-similar graphics will be generated automatically by the program. Category: Multimedia & Design / Multimedia App'sPublisher: WiseHuman Software, License: Shareware, Price: USD $14.95, File Size: 1.2 MBPlatform: Windows Ultra Fractal is a tool to create fractal art, by which images are created by repeated fractal formula calculations. Ultra Fractal is a tool to create Fractal art, by which images are created by repeated Fractal formula calculations. These formulas are mathematical indeed, but the resulting pictures are beautiful and complex. You can create your own fractals, change the colors, add layers, use masks, and even create animations using this software. Ultra Fractal goes a... Category: Multimedia & Design / Multimedia App'sPublisher: Frederik Slijkerman, License: Shareware, Price: USD $79.00, File Size: 6.3 MBPlatform: Windows Fractal Morphing Screen Saver is a screen saver for Windows. Fractal Morphing Screen Saver is a screen saver for Windows. Fractals fascinate us with their beauty and attractiveness. And as
2025-03-28It'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.
2025-04-15 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 >
2025-03-28Presented at MGUS-87, Redwood City, CA. Google Scholar Goodchild, M.F., 1980, Fractals and the accuracy of geographical measures: Math. Geol. 12, 85–98.Article Google Scholar Goodchild, M.F., 1982, The fractional Brownian process as a terrain simulation model: Model. Simulation 13, 1133–1137. Google Scholar Goodchild, M.F., and Mark, D.M., 1987, The fractal nature of geographic phenomena: Ann. AAG 77, 265–278. Google Scholar Goodchild, M.F., Klinkenberg, B., Glieca, M., and Hasan, M., 1985, Statistics of hydrologic networks on fractional Brownian surfaces: Model. Simulation 16, 317–323. Google Scholar Hakanson, L., 1978, The length of closed geomorphic lines: Math. Geol. 10, 141–167.Article Google Scholar Hobson, R.D., 1972, Surface roughness in topography: A quantitative approach: in Spatial Analysis in Geomorphology, R.J. Chorley, (Ed.): Methuen, London, pp. 221–245. Google Scholar Hunt, C.B., 1967, Physiography of the United States: Freeman, San Francisco. Google Scholar Kagan, Y.Y., and Knopoff, L., 1980, Spatial distribution of earthquakes: The two-point correlation function: Geophys. J. R. Astron. Soc. 62, 303–320. Google Scholar Kadanoff, L.P., 1986, Fractals, where’s the physics?: Phys. Today, February, 1986. Google Scholar Kennedy, S.K., and Lin, W.-H., 1986, Fract-A fortran subroutine to calculate the variables necessary to determine the fractal dimension of closed forms: Comput. Geosci. 12, 705–712.Article Google Scholar Kent, C., and Wong, J., 1982, An index of littoral zone complexity and its measurement: Can. J. Fish Aquatic Sci. 39, 847–853.Article Google Scholar Klinkenberg, B., 1988, Tests of a fractal model of topography: Ph.D. thesis, University of Western Ontario. Google Scholar Lovejoy, S., 1982, Area-perimeter relation for rain and cloud areas: Science 216, 185–187.Article Google Scholar Lovejoy, S., and Mandelbrot, B.B., 1985, Fractal properties of rain, and a fractal model: Tellus 37 (A), 209–232. Google Scholar Lovejoy, S., and Schertzer, D., 1985, Generalized scale invariance in the atmosphere and fractal models of rain: Water Resources Res. 21(8), 1233–1250.Article Google Scholar Lovejoy, S., and Schertzer, D., 1986, Scale invariance, symmetries, fractals, and stochastic simulations of atmospheric phenomena: Bull. Am. Meteorol. Soc. 67, 21–32.2.0.CO;2" data-track-item_id="10.1175/1520-0477(1986)0672.0.CO;2" data-track-action="Article reference" data-track-value="Article reference" href=" aria-label="Article reference 32" data-doi="10.1175/1520-0477(1986)0672.0.CO;2">Article Google Scholar Lovejoy, S., and Schertzer, D., 1988, Extreme variability, scaling and fractals in remote sensing: analysis
2025-04-04