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diff --git a/catalogs/english.cat b/catalogs/english.cat new file mode 100644 index 0000000..c94fda9 --- /dev/null +++ b/catalogs/english.cat @@ -0,0 +1,1078 @@ +# Message catalog file required to replay XaoS tutorials in +# English language +# +# Copyright (C) 1997 by Jan Hubicka +# +# Corrected by Tim Goowin +# Further corrections by David Meleedy +# And some more by Nix +# +# There are a few things you should know if you want to change or +# translate this file. +# +# The format of this catalog is identifier[blanks]"value"[blanks] +# +# Identifier is a key used by the program. Do not translate it! Only +# translate the value. If you want a quote character `"' in the text, +# use `\"'. For `\' use `\\'. Don't use `\n' for enter; use a literal +# newline. +# +# If you wish to translate this file into any new language, please let +# me know. You should translate this text freely: you don't need to use +# exactly the same sentences as here, if you have idea how to make text +# more funny, interesting, or add some information, do it. +# +# You can use longer or shorter sentences, since XaoS will automatically +# calculate time for each subtitle. +# +# Also, please let me have any suggestions for improving this text and +# the tutorials. +# +# Tutorial text needs to fit into a 320x200 screen. So all lines must be +# shorter than 40 characters. This is 40 characters: +#234567890123456789012345678901234567890 +# And thats not much! Be careful! +# Please check that your updated tutorials work in 320x200 to ensure +# that everything is OK. +######################################################### +#For file dimension.xaf + +fmath "The math behind fractals" +fmath1 "Fractals are a very new field +of math, so there are still lots +of unsolved questions." +fmath2 "Even the definitions are not clean" +fmath3 "We usually call something a fractal +if some self-similarity can be found" + + +def1 "One of the possible definitions is..." +#Definition from the intro.xaf is displayed here. +#If it is a problem in your langage catalog, let me +#know and I will create a special key +def2 "What does this mean?" +def3 "To explain it we first need +to understand what the topological and +Hausdorff Besicovich dimensions are." + +topo1 "The topological dimension +is the \"normal\" dimension." +topo2 "A point has 0 dimensions" +topo3 "A line has 1" +topo4 "A surface has 2, etc..." + +hb1 "The definition of the +Hausdorff Besicovich dimension +comes from the simple fact that:" +hb2 "A line that is zoomed so that it doubles +in length is twice as long as it was." +hb3 "On the other hand, the size +of a square that is similarly zoomed +grows by four times." +hb4 "Similar rules work in higher +dimensions too." +hb5 "To calculate dimensions from +this fact, you can use the +following equation:" +hb6 "dimension = log s / log z +where z is the zoom change and +s is the size change" +hb7 "for a line with zoom 2, +the size change is also 2. +log 2 / log 2 = 1" +hb8 "for a square with zoom 2, +the size change is 4. +log 4 / log 2 = 2" +hb9 "So this definition gives +the same results for normal shapes" +hb10 "Things will become more interesting +with fractals..." + +hb11 "Consider a snowflake curve" +hb12 "which is created by repeatedly +splitting a line into four lines." +hb13 "The new lines are 1/3 the size of +the original line" +hb14 "After zooming 3 times, these lines will +become exactly as big as the +original lines." +hb15 "Because of the self similarity created +by the infinite repeating +of this metamorphosis," +hb15b "each of these parts will +become an exact copy of the original +fractal." +hb16 "Because there are four such copies, the +fractal size grows by 4X" +hb17 "After putting these values in equations: +log 4 / log 3 = 1.261" +hb18 "We get a value greater than 1 +(The topological dimension +of the curve)" +hb19 "The Hausdorff Besicovich dimension +(1.261) is greater than the +topological dimension." +hb20 "According to this definition, +the snowflake is a fractal." + +defe1 "This definition, however, is not +perfect since it excludes lots of +shapes which are fractals." +defe2 "But it shows one of the +interesting properties of fractals," +defe3 "and it is quite popular." +defe4 "The Hausdorff Besicovich dimension +is also often called a +\"fractal dimension\"" + +######################################################### +#For file escape.xaf +escape "The math behind fractals + +chapter 2 - Escape time fractals" +escape1 "Some fractals (like snowflake) +are created by simple subdivision +and repetition." +escape2 "XaoS can generate a different +category of fractals - called +escape time fractals." +escape3 "The method to generate them +is somewhat different, but is also +based on using iteration." +escape4 "They treat the whole screen as +a complex plane" +escape5 "The real axis is placed horizontally" +escape6 "and the imaginary is placed vertically" +escape7 "Each point has its own orbit" +escape8 "The trajectory of which is calculated +using the iterative function, f(z,c) +where z is the previous position and c +is the new position on the screen." +escape9 "For example in the Mandelbrot +set, the iterative function is z=z^c+c" +orbit1 "In case we want to examine +point 0 - 0.6i" +orbit2 "We assign this parameter to c" +orbit3 "Iteration of the orbit +starts at z=0+0i" +orbit3b "Then we repeatedly calculate +the iterative function, and we +repeatedly get a new z value for +the next iteration." +orbit4 "We define the point that belongs to the +set, in case the orbit stays finite." +orbit5 "In this case it does..." +orbit6 "So this point is inside the set." +orbit7 "In other cases it would +go quickly to infinity." +orbit8 "(for example, the value 10+0i +The first iteration is 110, +the second 12110 etc..)" +orbit9 "So such points are outside the set." + +bail1 "We are still speaking about +infinite numbers and iterations +of infinite numbers..." +bail2 "But computers are +finite, so they can't +calculate fractals exactly." +bail3 "It can be proved that in the +case where the orbit's distance from +zero is more than 2, the orbit +always goes to inifinity." +bail4 "So we can interrupt calculations +after the orbit fails this test. +(This is called the bailout test)" +bail5 "In cases where we calculate points +outside the set, we now need just a +finite number of iterations." +bail6 "This also creates the colorful +stripes around the set." +bail7 "They are colored according to the +number of iterations of orbits needed +to fall in the bailout set." +iter1 "Inside the set we still +need infinite numbers of calculations" +iter2 "The only way to do it is to interrupt +the calculations after a given +number of iterations and +use the approximate results" +iter3 "The maximal number of iterations +therefore specifies how exact +the approximation will be." +iter4 "Without any iterations you would create +just a circle with a radius of 2 +(because of the bailout condition)" +iter5 "Greater numbers of iterations makes +more exact approximations, but +it takes much longer to calculate." +limit1 "XaoS, by default, calculates +170 iterations." +limit2 "In some areas you could zoom for a +long time without reaching this limit." +limit3 "In other areas you get +inexact results quite soon." +limit4 "Images get quite boring +when this happens." +limit5 "But after increasing the number +of iterations, you will get lots of new +and exciting details." +ofracts1 "Other fractals in XaoS are +calculated using different formulae +and bailout tests, but the method +is basically the same." +ofracts2 "So many calculations are required +that XaoS performs lots of +optimizations. + +You might want to read about +these in the file +doc/xaos.info" + +######################################################### +#For file anim.xaf +anim "XaoS features overview + +Animations and position files" + +######################################################### +#For file anim.xhf + +anim2 "As you have probably noticed, +XaoS is able to replay animations +and tutorials." + +anim3 "They can be recorded directly +from XaoS," + +languag1 "since animations and +position files are stored +in a simple command language" + +languag2 "(position files are +just one frame animations)." + +languag3 "Animations can be manually +edited later to achieve more +professional results." + +languag4 "Most animations in these tutorials +were written completely manually, +starting from just a position file." + +modif1 "A simple modification" + +modif2 "generates an \"unzoom\" movie," +modif3 "and this modification, a \"zoom\" movie." + +newanim "You can also write completely +new animations and effects." + +examples "XaoS also comes with +many example files, that can +be loaded randomly from the +save / load menu." + +examples2 "You can also use position +files to exchange coordinates with +other programs." + +examples3 "The only limits are your +imagination, and the command +language described in xaos.info." + +######################################################### +#For file barnsley.xaf + +intro4 "An introduction to fractals + +Chapter 5-Barnsley's formula" + +barnsley1 "Another formula +introduced by Michael Barnsley" + +barnsley2 "generates this strange fractal." + +barnsley3 "It is not very interesting +to explore," + +barnsley4 "but it has beautiful Julias!" + +barnsley5 "It is interesting because it has +a \"crystalline\" structure," + +barnsley6 "rather than the \"organic\" +structure found in many other +fractals." + +barnsley7 "Michael Barnsley has also introduced +other formulas." + +barnsley8 "One of them generates this fractal." + +######################################################### +#For file filter.xaf + +filter "XaoS features overview + +filters" + +######################################################### +#For file filter.xhf + +filter1 "A filter is an effect applied +to each frame after the fractal +is calculated." + +filter2 "XaoS implements the +following filters:" + +motblur "motion blur," + +edge "two edge detection filters," + +edge2 "(the first makes wide lines and is +useful at high resolutions," + +edge3 "the second makes +narrower lines)," + +star "a simple star-field filter," + +interlace "an interlace filter, (this speeds up +calculations and gives the effect of +motion blur at higher resolutions)," + +stereo "a random dot +stereogram filter," + +stereo2 "(if you are unable to see anything +in the next images and you can +normally see random dot stereograms, +you probably have the screen size +incorrectly configured---use `xaos +-help' for more information)," + +emboss1 "an emboss filter," #NEW + +palettef1 "a palette emulator filter, +(enables color cycling on +truecolor displays)" #NEW + +truecolorf "a true color filter, (creates +true-color images on 8bpp displays)." + +######################################################### +#For file fractal.xaf + +end "The end." + +fcopyright "The introduction to fractals +was done by Jan Hubicka in July 1997 +and later modified and updated +for new versions of XaoS + +Corrections by: +Tim Goodwin <tgoodwin@cygnus.co.uk> +and +David Meleedy <dmm@skepsis.com> +and +Nix <nix@esperi.demon.co.uk>" +# Add your copyright here if you are translating/correcting this file + +suggestions " +Please send all ideas, +suggestion, thanks, flames +and bug-reports to: + +xaos-discuss@lists.sourceforge.net + +Thank You" + +######################################################### +#For file incolor.xaf + +incolor1 "Usually, points inside the set are +displayed using a single solid +color." + +incolor2 "This makes the set boundaries +very visible, but the areas inside the +set are quite boring." + +incolor3 "To make it a bit more +interesting, you can use the +value of the last orbit to assign +color to points inside the set." + +incolor4 "XaoS has ten different +ways to do that. They are called +\"in coloring modes\"." + +zmag "zmag + +Color is calculated from +the magnitude of the last orbit." + +######################################################### +#For file innew.xaf + +innew1 "Decomposition like + +This works in same way +as color decomposition +in outside coloring modes +" + +innew2 "Real / Imag + +Color is calculated from the +real part of the last orbit divided +by the imaginary part." + +innew3 "The next 6 coloring modes are +formulas mostly chosen at random, or +copied from other programs." + +######################################################### +#For file intro.xaf + +fractal "...Fractals..." +fractal1 "What is a fractal?" + +fractal2 "Benoit Mandelbrot's definition: +a fractal is a set for which the +Hausdorff Besicovich dimension +strictly exceeds the +topological dimension." + +fractal3 "Still in the dark?" + +fractal4 "Don't worry. +This definition is only important if +you're a mathematician." + +fractal5 "In English, +a fractal is a shape" + +fractal6 "that is built from pieces" + +fractal7 "each of which is approximately a +reduced size copy of the whole +fractal." + +fractal8 "This process repeats itself" + +fractal9 "to build the complete fractal." + +facts "There are many surprising +facts about fractals:" + +fact1 "Fractals are independent of scale," +fact2 "they are self similar," +fact3 "and they often resemble objects +found in the nature" +#fact4 "such as clouds, mountains, +#or coastlines." +fact5 "There are also many +mathematical structures +that define fractals," +fact6 "like the one you see on the screen." +fmath4 "Most fractals are +created by an iterative process" +fmath5 "for example the fractal known +as the von Koch curve" +fmath6 "is created by changing +one line" +fmath7 "into four lines" +fmath8 "This is the first +iteration of the process" +fmath9 "Then we repeat this change" +fmath10 "after 2 iterations..." +fmath11 "after 3 iterations..." +fmath12 "after 4 iterations.." +fmath13 "and after an infinite number of +iterations we get a fractal." +fmath14 "Its shape looks like one third of +a snowflake." +tree1 "Lots of other shapes could +be constructed by similar methods." +tree2 "For example by changing a line +in a different way" +tree3 "We can get a tree." +nstr "Iterations can possibly +introduce random noise into a fractal" +nstr2 "By changing a line into two" +nstr3 "lines and adding some small error" +nstr4 "you can get fractals looking like +a coastline." +nstr5 "A similar process could +create clouds, mountains, and lots of +other shapes from nature" + +####################################################### +## mset.xaf + +fact7 "Undoubtedly the most famous fractal is.." + +mset "The Mandelbrot Set" +mset1 "It is generated from +a very simple formula," +mset2 "but it is one of the +most beautiful fractals." +mset3 "Since the Mandelbrot set is a fractal," +mset4 "its boundaries contain" +mset5 "miniature copies of +the whole set." +mset6 "This is the largest one, about 50 +times smaller than the entire set." +mset7 "The Mandelbrot set is +not completely self similar," +mset8 "so each miniature +copy is different." +mset9 "This one is about 76,000 times +smaller than the whole." +mset10 "Copies in different parts +of the set differ more." + +nat "The boundaries don't just contain +copies of the whole set," +nat1 "but a truly infinite variety +of different shapes." +nat2 "Some of them are surprisingly +similar to those found in nature:" +nat3 "you can see trees," +nat4 "rivers with lakes," +nat5 "galaxies," +nat6 "and waterfalls." +nat7 "The Mandelbrot set also contains many +completely novel shapes." + +############################################################################### +############ + +juliach "An introduction to fractals + +Chapter 2-Julia" + +julia "The Mandelbrot set is not the only +fractal generated by the formula: +z=z^2+c" +julia1 "The other is..." +julia2 "the Julia set" +julia3 "There is not just one Julia set," +julia4 "but an infinite +variety of them." +julia5 "Each is constructed from a \"seed\"," +julia6 "which is a point selected +from the Mandelbrot set." +julia7 "The Mandelbrot set can be seen +as a map of various Julia sets." +julia8 "Points inside the Mandelbrot set +correspond to Julias with large +connected black areas," +julia9 "whereas points outside the Mandelbrot set +correspond to disconnected Julias." +julia10 "The most interesting Julias have +their seed just at the boundaries of +the Mandelbrot set." + +theme "The theme of a Julia set also +depends heavily on the seed point +you choose." +theme1 "When you zoom in +to the Mandelbrot set, you will get +a very thematically similar fractal" +theme2 "when switching to the +corresponding Julia." +theme3 "But zoom out again, and you discover" +theme4 "that you are in a completely +different fractal." +theme5 "Julia sets may seem to be quite +boring since they don't change themes" +theme6 "and remain faithful to the +seed chosen from the Mandelbrot set." +theme7 "But by carefully choosing the +seed point you can generate" +theme8 "beautiful images." + +######################################################### +#For file keys.xhf + +keys "Keys: + +q - stop replay +Space - skip frame + (can take a while) +Left/Right - adjust speed of subtitles" + +######################################################### +#For file magnet.xaf + +intro7 "An introduction to fractals + +Chapter 8-Magnet" + +magnet "This is NOT the Mandelbrot set." +magnet1 "This fractal is called \"magnet\" +since its formula comes +from theoretical physics." +magnet2 "It is derived from the study +of theoretical lattices in the +context of magnetic renormalization +transformations." + +similiar "Its similarity to the Mandelbrot set +is interesting since this is a real +world formula." + +magjulia "Its julia sets are quite unusual." + +magnet3 "There is also a second magnet fractal." + +######################################################### +#For file new.xaf + +new "What's new in version 3.0?" +speed "1. Speedups" +speed1 "The main calculation loops +are now unrolled and +do periodicity checking." +speed2 "New images are calculated using +boundary detection," +speed3 "so calculating new images +is now much faster." +speed4 "For example, calculation +of the Mandelbrot set at +1,000,000 iterations..." +speed5 "calculating..." +speed6 "finished." +speed7 "XaoS has a heuristic that +automatically disables periodicity +checking when it doesn't expect the +calculated point to be inside the set +(when all surrounding points aren't)." +speed8 "Also the main zooming routines +have been optimized so zooming is +approximately twice as fast." +speed9 "XaoS now reaches 130FPS +on my 130Mhz Pentium." + +new2 "2. Filters." +new3 "3. Nine out-coloring modes." +new4 "4. New in-coloring modes." +new5 "5. True-color coloring modes." +new6 "6. Animation save/replay." +newend "And many other enhancements, such +as image rotation, better palette +generation... See the ChangeLog for +a complete list of changes." #NEW + +######################################################### +#For file newton.xaf + +intro3 "An introduction to fractals + +Chapter 4-Newton's method" +newton "This fractal is generated by +a completely different formula:" +newton1 "Newton's numerical method for finding +the roots of a polynomial x^3=1." +newton2 "It counts the number of iterations +required to get the approximate root." +newton3 "You can see the three roots +as blue circles." +newton4 "The most interesting parts are in places +where the starting point is almost +equidistant from two or three roots." +newton5 "This fractal is very self similar +and not very interesting to explore." +newton6 "But XaoS is able to +generate \"Julia-like\" sets," +newton7 "where it uses the error in the +approximation as the seed." +newton8 "This makes the Newton fractal +more interesting." +newton9 "XaoS can also generate an other +Newton fractal." +newton10 "Newton's numerical method for finding +the roots of a polynomial x^4=1." +newton11 "You can see the four roots +as blue circles." + +######################################################### +#For file octo.xaf +intro6 "An introduction to fractals + +Chapter 7-Octo" +octo "Octo is a less well known fractal." +octo1 "We've chosen it for XaoS +because of its unusual shape." +octo2 "XaoS is also able +to generate \"Julia-like\" sets, +similar to those in the Newton set." + +######################################################### +#For file outcolor.xaf + +outcolor "Out coloring modes" +outcolor1 "The Mandelbrot set is just +the boring black lake +in the middle of screen" +outcolor2 "The colorful stripes +around it are the boundaries +of the set." +outcolor3 "Normally the coloring is +based on the number of iterations +required to reach the bail-out value." +outcolor4 "But there are other +ways to do the coloring." +outcolor5 "XaoS calls them +out-coloring modes." + +iterreal "iter+real + +This mode colors the boundaries by +adding the real part of the last +orbit to the number of iterations." +iterreal1 "You can use it to make +quite boring images more interesting." + +iterimag "iter+imag is similar to iter+real." +iterimag2 "The only difference is that it uses +the imaginary part of the last +orbit." + +iprdi "iter+real/imag + +This mode colors the boundaries by +adding the number of iterations to +the real part of the last orbit +divided by the imaginary part." + +sum "iter+real+imag+real/imag + +is the sum of all the previous coloring +modes." + +decomp "binary decomposition + +When the imaginary part is greater +than zero, this mode uses the number +of iterations; otherwise it uses the +maximal number of iterations minus +the number of iterations of binary +decomposition." + +bio "biomorphs + +This coloring mode is so called since +it makes some fractals look like +one celled animals." + +######################################################### +#For file outnew.xhf + +potential "potential + +This coloring mode looks +very good in true-color +for unzoomed images." + +cdecom "color decomposition" +cdecom2 "In this mode, the color is calculated +from the angle of the last orbit." +cdecom3 "It is similar to +binary decomposition but +interpolates colors smoothly." +cdecom4 "For the Newton type, it can be used +to color the set based on which root +is found, rather than the number of +iterations." + +smooth "smooth + +Smooth coloring mode tries to remove +stripes caused by iterations and +make smooth gradations." +smooth1 "It does not work for the Newton set +and magnet formulae since they have +finite attractors." +smooth2 "And it only works for true color and +high color display modes. So if you +have 8bpp, you will need to enable +the true color filter." + +######################################################### +#For file outnew.xhf + +intro5 "An introduction to fractals + +Chapter 6-Phoenix" + +phoenix "This is the Mandelbrot set for +a formula known as Phoenix." + +phoenix1 "It looks different than the other +fractals in XaoS, but some similarity +to the Mandelbrot set can be found:" + +phoenix2 "the Phoenix set also contains a +\"tail\" with miniature copies of +the whole set," + +phoenix3 "there is still a correspondence of +\"theme\" between the Mandelbrot +version and the Julias," + +phoenix4 "but the Julias are very different." + +######################################################### +#For file plane.xaf + +plane1 "Usually, the real part of a point +in the complex plane is mapped to +the x coordinate on the screen; the +imaginary part is mapped to the y +coordinate." + +plane2 "XaoS provides 6 alternative +mapping modes" +plane3 "1/mu + +This is an inversion - areas from +infinity come to 0 and 0 is mapped +to infinity. This lets you see what +happens to a fractal when it is +infinitely unzoomed." +plane4 "This is a normal Mandelbrot..." +plane5 "and this is an inverted one." +plane6 "As you can see, the set was +in the center and now it is +all around. The infinitely large +blue area around the set +is mapped into the small +circle around 0." +plane7 "The next few images will be +shown in normal, and then inverted mode +to let you see what happens" + +plane8 "1/mu+0.25 + +This is another inverted mode, but +with a different center of inversion. +" +plane9 "Since the center of inversion lies +at the boundary of Mandelbrot set, +you can now see infinite parabolic +boundaries." +plane10 "It has an interesting effect on +other fractals too, since it usually +breaks their symmetry." + +lambda "The lambda plane provides a +completely different view." + +ilambda "1/lambda + +This is a combination of +inversion and the lambda plane." + +imlambda "1/(lambda-1) + +This is combination of lambda, +move, and inversion." + +imlambda2 "It gives a very interesting +deformation of the Mandelbrot set." + +mick "1/(mu-1.40115) + +This again, is inversion with a moved +center. The center is now placed +into Feigenbaum points - points +where the Mandelbrot set is self +similar. This highly magnifies the +details around this point." + +######################################################### +#For file power.xaf + +intro2 "An introduction to fractals + +Chapter 3-Higher power Mandelbrot sets" + +power "z^2+c is not the only +formula that generates fractals." +power2 "Just a slightly modified one: x^3+c +generates a similar fractal." +power3 "And it is, of course, also +full of copies of the main set." + +power4 "Similar fractals can be generated +by slightly modified formulae" + +pjulia "and each has a corresponding series +of Julia sets too." + +######################################################### +#For file truecolor.xaf + +truecolor "True-color coloring modes" +truecolor1 "Usually fractals are colored using +a palette. In true-color mode, the +palette is emulated." +truecolor2 "The only difference is that the +palette is bigger and colors are +smoothly interpolated in coloring +modes." +truecolor3 "True-color coloring mode +uses a completely different +technique. It uses various parameters +from the calculation" +truecolor4 "to generate an exact +color - not just an index +into the palette." +truecolor5 "This makes it possible to display up +to four values in each pixel." +truecolor6 "True color coloring mode of course +requires true color. So on 8bpp +displays, you need to enable the +true-color filter." + +######################################################### +#for file pert.xaf #NEW (up to end of file) + +pert0 "Perturbation" +pert1 "Just as the Julia formula uses +different seeds to generate +various Julias from one formula," +pert2 "you can change the perturbation +value for the Mandelbrot sets." +pert3 "It changes the starting position of +the orbit from the default value of 0." +pert4 "Its value doesn't affect the +resulting fractal as much as the seed +does for the Julias, but it is useful +when you want to make a fractal more +random." + +########################################################## +#for file palette.xaf + +pal "Random palettes" +pal0 "XaoS doesn't come with large +library of predefined palettes +like many other programs, but +generates random palettes." +pal1 "So you can simply keep pressing 'P' +until XaoS generates a palette that +you like for your fractal." +pal2 "Three different algorithms +are used:" +pal3 "The first makes stripes going from +some color to black." +pal4 "The second makes stripes from black +to some color to white." +pal5 "The third is inspired by cubist +paintings." + +########################################################### +#for file other.xaf + +auto1 "Autopilot" +auto2 "If you are lazy, you +can enable autopilot to +let XaoS explore a fractal +automatically." +fastjulia1 "Fast Julia browsing mode" +fastjulia2 "This mode lets you morph +the Julia set according to the +current seed." +fastjulia3 "It is also useful as a preview of an +area before you zoom in - because of +the thematic correspondence between +the Julia and the point you choose, +you can see the approximate theme +around a point before you zoom in." +rotation "Image rotation" +cycling "Color cycling" +bailout "Bailout" +bailout1 "That's the Mandelbrot set with an +outcoloring mode 'smooth.'" +bailout2 "By increasing bailout to 64, you get +more balanced color transitions." +bailout3 "For most fractal types different bailout +values result in similar fractals." +bailout4 "That's not true for Barnsley fractals." + + + + +############################################## +#for file trice.xaf + +trice1 "Triceratops and Catseye fractals" +trice2 "If you change the bailout value" +trice3 "of an escape-time fractal" +trice4 "to a smaller value," +trice5 "you will get an other fractal." +trice6 "With this method we can get" +trice7 "very interesting patterns" +trice8 "with separate areas of one color." +trice9 "The Triceratops fractal" +trice10 "is also made with this method." +trice11 "Many similar pictures can be" +trice12 "made of Triceratops." +trice13 "The Catseye fractal" +trice14 "is like an eye of a cat." +trice15 "But if we raise the bailout value..." +trice16 "...we get a more interesting fractal..." +trice17 "...with bubbles..." +trice18 "...and beautiful Julias." + +############################################## +#for file fourfr.xaf + +fourfr1 "Mandelbar, Lambda, Manowar and Spider" +fourfr2 "This is the Mandelbar set." +fourfr3 "It's formula is: z = (conj(z))^2 + c" +fourfr4 "Some of its Julias are interesting." +fourfr5 "But let's see other fractals now." +fourfr6 "The Lambda fractal has a structure" +fourfr7 "similar to Mandelbrot's." +fourfr8 "It's like the Mandelbrot set +on the lambda plane." +fourfr9 "But Lambda is a Julia set, +here is MandelLambda." +fourfr10 "...fast Julia mode..." +fourfr11 "This is the fractal Manowar." +fourfr12 "It was found by a user of Fractint." +fourfr13 "It has Julias similar to the whole set." +fourfr14 "This fractal is called Spider." +fourfr15 "It was found by a user of Fractint, too." +fourfr16 "And it has Julias similar +to the whole set, too." + +############################################## +#for file classic.xaf + +classic1 "Sierpinski Gasket, S.Carpet, +Koch Snowflake" +classic2 "This is the famous +Sierpinski Gasket fractal." +classic3 "And this is +the escape-time variant of it." +classic4 "You can change its shape by selecting" +classic5 "another 'Julia seed'" +classic6 "This fractal is the Sierpinski Carpet." +classic7 "And here is it's escape-time variant." +classic8 "This is famous, too." +classic9 "And finally, this is +the escape-time variant" +classic10 "of the Koch Snowflake." + +############################################## +#for file otherfr.xaf + +otherfr1 "Other fractal types in XaoS" |