## Welcome to the Second Life Forums Archive

These forums are CLOSED. Please visit the new forums HERE

# User Friendly Generalised Fractal Generator

Seifert Surface
Mathematician
Join date: 14 Jun 2005
Posts: 912
09-15-2005 00:07
The following is a set of scripts for generating fractals (strictly speaking, fractal trees). I used variants of this script to build all of the fractals in my (2005) burning life build.

An example fractal tree generator (simply these scripts put into prims) is currently available in The Future (222, 41, 172), for the princely fee of L\$1.

All of the instructions for use are at the start of the main script, and should be self-explanatory. There are also some "before/after" pictures attached, and some examples of things that you can make that aren't trees.
CODE
`/////////////////////////////////////////////////////Fractal Generator 1.0//////////////////////////////////////////////////////////////////////////by//////////////////////////////////////////////////////////////////////////////Seifert Surface////////////////////////////2G!tGLf 2nLt9cG/////Aug 2005///////////////////////////////////////////////Instructions for use://Rez a prim, mess around with it however you want. When you're done, make 3 copies of it.//Put this script ("Fractal Generator 1.0") in one, which will be the base prim of the //fractal. Put the script "Fractal Generator 1.0 Child" in another, and "Fractal Generator //1.0 Rescaler" in the third. Take the "rescaler" prim, make sure it's name is "Object", //and put it in the contents of the base prim (the one with this script). The scripts will //build the fractal out of copies of this "rescaler" prim.//Now we tell the scripts how we want the fractal to be built. Make some number of copies //of the "child" prims (2 or 3 is a good number), and arrange them near or touching the //"base" prim. Rotating them is fine, scaling them (down usually) is a good idea, but //remember whenever you scale it to scale all three dimensions equally (use the grey boxes //in the "Stretch" tool, not the red, green or blue). Rotating or moving the base prim is //fine, but don't rescale it at this stage (the scripts rely on the "rescaler" prim to be //an exact copy of the base prim).//Now decide how many iterations you want the fractal to contain. 3 is a good number to //start with. This script calculates beforehand how many prims the final fractal will //contain, and will not build if it contains more than the "prim_limit" below. You can //change this number (it is set in the first line of code below) to something bigger, but //I take no responsibility if you end up crashing a sim! This is *not* a piece of self //replicating code, but it will rez many prims relatively quickly. You have been warned.//The formula for the number of prims in the final fractal, starting from b children and //doing i iterations is:// i+1                    if b == 1// (b^(i+1) - 1)/(b - 1)  if b >= 1//Having decided on the number of iterations you want, simply enter this number into the //"Description" of the object (in the "General" tab of the extended editing controls). //Finally, link all the child prims to the base prim, making sure that the base prim is //the root of the link set. To do this, select the child prims first, add the base prim to//the selection last (by holding down Shift and clicking on it), and then link (Ctrl-L, or//selecting "Link" from the "Tools" menu).//Now say "go" (the script will only listen to its owner), and the fractal will begin //building (as long as the final fractal wouldn't contain too many prims). A good trick is//to have the base and child prims (which are now linked) selected in edit mode, so that //once the fractal is built, you can easily move the generator away. The generator will //rez copies of the base and the child prims in their exact locations, so it can be //difficult to select them.//If you don't like how it turned out, simply edit the positions and scales of the child //prims (you might want to unlink first and then relink again), and when you're happy, say//"go" again, and it will generate the new fractal. //Issues://It is impossible to rez a prim that is smaller than 0.01 metres, or larger than 10.0 //metres in any dimension. The script will detect when it tries to do so, and counts how //many prims fail to rez because of this. It is also impossible to rez a prim further than //around 10 metres distance from the rezzing object, which is the base prim. Unfortunately //it doesn't seem to be exactly 10 metres, so I haven't implemented a similar check to see //how many prims would be too far from the base prim to be rezzed. The code is in there, //but commented out. Let me know if you work out something reliable. As is, attempting to//rez a prim too far from the base will silently fail.//If you modify the code, please keep my name with it, and make sure you don't crash a sim!//Please do not sell this code, or anything with this code in it. Selling objects created//with this code is ok. It would be nice if people would let me know what they're making //with it :)//   Seifert Surface//   2G!tGLf 2nLt9cG///////Start of code///////integer prim_limit = 255; //wont build anything with more than this number of primsinteger iterations;  //number of levels to go downinteger branching;  //number of elts in each list list posns;list rotns;list scales;vector base_posn;integer listen_control;integer count_replies;      //for making sure that all child prims in the base have repliedinteger bad_scales = 0;     //counting how many prims were too small or too big to rez//integer bad_positions = 0;  //counting how many prims were too far away from the generator to rez//this seems unreliable - according to the wiki rezzing at a distance of more than 10 meters fails silently, //but it seems to be able to go a little further (11 meters?). So the distance checking code is here but commented out, //you can experiment with it if you like. As is, when trying to rez prims too far away, it will just fail silently.rez_children(vector pos, rotation rot, float scl, integer iters){    integer branch = 0;    for(branch = 0; branch < branching; branch++)    {        //llSay(0, "iter: "+(string)iters+" branch: "+(string)branch);        vector check_scale = llGetScale()*llList2Float(scales, branch)*scl;        if(check_scale.x < 0.01 || check_scale.x > 10.0 || check_scale.y < 0.01 || check_scale.y > 10.0 || check_scale.z < 0.01 || check_scale.z > 10.0)        {            bad_scales++;        }        else        {            //start of distance checking code, commented out due to unreliability            //vector check_pos = pos + scl*(llList2Vector(posns, branch)*rot);            //            //if(llVecMag(check_pos) > 10)            // {            //     bad_positions++;            //  }            //  else                    //  {                    //end of dist checking code                llRezObject("Object", base_posn + pos + scl*(llList2Vector(posns, branch)*rot), //position to rez                <0,0,0>,   //given vel... ignore                llList2Rot(rotns, branch)*rot, //rotation to rez                llRound(1000000.0 * llList2Float(scales, branch)*scl)  //scaling, including workaround passing integer                );            // }   //(from dist checking code)        }        //llSleep(1.0);  //if you want to slow it down to see what its doing        if(iters > 1)        {        rez_children((pos + scl*llList2Vector(posns, branch)*rot), llList2Rot(rotns, branch)*rot, llList2Float(scales, branch)*scl, iters - 1);        }                  }}    default{    state_entry()    {        key owner = llGetOwner();  //will only listen to its owner        listen_control = llListen(0, "", owner, "");    }    on_rez(integer number)    {        llResetScript();    }    listen(integer channel, string name, key id, string message)    {        if(message == "go")  //say "go" to make it start        {            llSay(0, "Recording data...");            state Recording;                   }    }           state_exit()    {        llListenRemove(listen_control);    }   }state Recording{   state_entry()   {        branching = llGetNumberOfPrims() - 1; //dont count the root prim        if(branching <= 0)        {            llSay(0, "Link child prims first!");            state default;        }        //llSay(0, "branching: "+(string)branching);        //check how many prims there will be... (assuming none too small/big/far away)        iterations = (integer)llGetObjectDesc();  //put desired number of iterations in the object description        if(iterations <= 0)        {            llSay(0, "Number of iterations (enter it into the object description) must be a positive integer!");            state default;        }        //llSay(0, "iterations: "+(string)iterations);        integer num_prims;        if(branching == 1)        {           num_prims = iterations + 1;        }        else        {          float fi = (float)iterations;        float fb = (float)branching;        float temp1 = llPow(fb,(fi + 1)) - 1.0;  //some math here...        float temp2 = (fb - 1.0);        num_prims = llRound(temp1/temp2);        }        llSay(0, "Final fractal will contain prims: "+(string)num_prims);        if(num_prims > prim_limit)        {            llSay(0, "Too many prims!");            state default;        }               count_replies = 0; //going to need all of the child prims to reply        posns = [];        rotns = [];        scales = [];        integer branch = 0;        for(branch = 0; branch < branching; branch++)        {  //reset lists to correct lengths        posns = llListInsertList(posns, [ZERO_VECTOR], branch);        rotns = llListInsertList(rotns, [ZERO_ROTATION], branch);        scales = llListInsertList(scales, [1.0], branch);        }               llMessageLinked(LINK_ALL_OTHERS, 0, "return", NULL_KEY);  //ask all child prims to report their parameters   }   link_message(integer sender_num, integer num, string str, key id)   {        count_replies++;        integer branch = sender_num - 2;        llSay(0, "Replied, child prim: "+(string)branch);        list reply = llParseString2List(str, ["|"], []);  //reply is of form <position>|<rotation>|scale               vector temp_pos = (vector)llList2String(reply, 0);        rotation temp_rot = (rotation)llList2String(reply, 1);               vector temp = llGetScale();    //only measures scaling in x, but doesnt matter which: child prims should         float tempx = temp.x;          //be scaled in all coords equally for code to work properly        float temp_scale = (float)llList2String(reply, 2)/tempx;  //stored scale is relative to root prim scale               //llSay(0, (string)temp_pos+(string)temp_rot+(string)temp_scale);               posns = llListReplaceList(posns, [temp_pos], branch, branch);        rotns = llListReplaceList(rotns, [temp_rot], branch, branch);        scales = llListReplaceList(scales, [temp_scale], branch, branch);        if(count_replies >= branching)        {           //llSay(0, "posns: "+llDumpList2String(posns, "|"));           //llSay(0, "rotns: "+llDumpList2String(rotns, "|"));           //llSay(0, "scales: "+llDumpList2String(scales, "|"));           state Building;        }    }}   state Building{     state_entry()    {                    //llSay(0, "Starting...depth: "+(string)iterations)+" branching: "+(string)branching);        base_posn = llGetPos();        bad_scales = 0;        //bad_positions = 0;                    llRezObject("Object", base_posn, <0,0,0>, llGetRot(),1); //rez copy of the base          rez_children(<0,0,0>, llGetRot(), 1.0, iterations);      //yay recursion!!        llSay(0, "Done! "+(string)bad_scales+" prims had sizes too large or too small.");         //llSay(0, "(string)bad_positions+" had positions too far from base prim.");        state default;    }}       `

CODE
`//////////////////////////////////////////////////Fractal Generator 1.0 Child///////////////////////////////////////////////////////////////////////by//////////////////////////////////////////////////////////////////////////////Seifert Surface////////////////////////////2G!tGLf 2nLt9cG/////Aug 2005/////////////////////////////////////////////default{    state_entry()    {    }    link_message(integer sender_num, integer num, string str, key id)    {        vector pos = llGetLocalPos();        rotation rot = llGetLocalRot();        vector temp = llGetScale();        float scale = temp.x;  //everything assumes scaling happens on all 3 axes equally, so just pick one        list data = [pos, rot, scale];        string reply = llDumpList2String(data, "|");        llMessageLinked(1, 0, reply, NULL_KEY);    }}   `

CODE
`////////////////////////////////////////////////Fractal Generator 1.0 Rescaler//////////////////////////////////////////////////////////////////////by//////////////////////////////////////////////////////////////////////////////Seifert Surface////////////////////////////2G!tGLf 2nLt9cG/////Aug 2005/////////////////////////////////////////////default{    state_entry()    {    }    on_rez(integer number)    {        if(number != 0) //when rezzed by an avatar, don't do anything        {            float scale = (float)number/1000000.0;  //sneaky way to get a float in here using an integer...            llSetScale(llGetScale()*scale);            llRemoveInventory(llGetScriptName());   //kill the script when done        }    }}`
_____________________
-Seifert Surface
2G!tGLf 2nLt9cG
The Librarian
Join date: 4 Nov 2002
Posts: 1,423
09-15-2005 06:44
/54/3e/61647/1.html
_____________________
i've got nothing.
Eddie Escher
Builder of things...
Join date: 11 Jul 2003
Posts: 461
09-16-2005 00:35
Seifert - your fractals are awsome man. Its cool of you to share the scripts with the comunity
_____________________
Eddie Escher
...apparently 3 out of 4 people make up 75% of the population here...

Eddie Escher Gadgets & Skins: Hotei and Seacliff