ð¡Œ/ðžïžðïžðžïž/â/ð/ð¢/â/ð ð¡ð¡¹ð«°âªð¢âºð¡Œâ¯â¯ðððð±ð¡œâ©©ð¥á¯œáª£ðŠžâðŠžáª£á¯œð¥â©©ð¡œð±ðððâ¯â¯ð¡Œâºð¢âªð«°ð¡¹ð¡ð /â/ð¬/ð ð¡ð¡¹ð«°âªð¢âºâžâ¯ððð±ð¡œâ©©ð¥á¯œáª£ðŠžâðŠžáª£á¯œð¥â©©ð¡œð±ððâ¯âžâºð¢âªð«°ð¡¹ð¡ð /áºÆ§ê»I.ð ð¡ð¡¹ð«°âªð¢âºâžâ¯ððð±ð¡œâ©©ð¥á¯œáª£ðŠžâðŠžáª£á¯œð¥â©©ð¡œð±ððâ¯âžâºð¢âªð«°ð¡¹ð¡ð .IFSB ADDED
A:=1;V:=(2^-11.5)atan(21/2);X:=0;Y:=0;Z:=1/A/tan(V/2); camera position (-X,0,-Z) direction(X,0,Z) vertical(0,1,0) fov(V);
light color (64) position (0,0,-8*sqrt(2)) shadows(0);#
ambient(1);background(1);antialiasing(3); O:=translate(2-sqrt(2),0,0) scale(sqrt(2)-1) stretch(-1,0,0,sqrt(2)-1); OO:=scale(3-2*sqrt(2)); set O88O = bound(0,0,0,1) (OO + (id()+rotate(90)+rotate(180)+rotate(270)) O) O88O; set O00O = bound(0,0,0,1) ((id()+rotate(90)+rotate(180)+rotate(270)) O) O00O; build (id()+rotate(0,1,0,90)+rotate(0,1,0,180)+rotate(0,1,0,270)+rotate(1,0,0,90)+rotate(1,0,0,270)) bound(0,0,0,1) translate(0,0,sqrt(2)) stretch(0,0,-1,sqrt(2)-1) O00O;color(1); build (id()+rotate(0,1,0,90)+rotate(0,1,0,180)+rotate(0,1,0,270)+rotate(1,0,0,90)+rotate(1,0,0,270)) bound(0,0,0,1) translate(0,0,sqrt(2)) stretch(0,0,-1,sqrt(2)-1) O88O;color(0,.958,.487);
ð¡Œ/ðžïžðïžðžïž/â/ð/ð¢/â/ð ð¡ð¡¹ð«°âªð¢âºð¡Œâ¯â¯ðððð±ð¡œâ©©ð¥á¯œáª£ðŠžâðŠžáª£á¯œð¥â©©ð¡œð±ðððâ¯â¯ð¡Œâºð¢âªð«°ð¡¹ð¡ð /â/ð¬/ð ð¡ð¡¹ð«°âªð¢âºð¡Œâ¯ðð±ð¡œâ©©ð¥á¯œáª£ðŠžâðŠžáª£á¯œð¥â©©ð¡œð±ðâ¯ð¡Œâºð¢âªð«°ð¡¹ð¡ð /QAêŒðªœ.â MTH..â¢ðâ°â¢âââ¯âââ¢â°ð⢠â â â ð ð¡ð¡¹ð«°âªð¢âºð¡Œâ¯ðð±ð¡œâ©©ð¥á¯œáª£ðŠžâðŠžáª£á¯œð¥â©©ð¡œð±ðâ¯ð¡Œâºð¢âªð«°ð¡¹ð¡ð â â â â¢ðâ°â¢âââ¯âââ¢â°ðâ¢..HTML.ZPAQ ADDED
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Apollonian Hierarchy TreeBasic Square with Texture GLSL Texture Code Mandelbulber2 HDD Usage AI News Submission Platforms ABACABA Encoding Functions ABACABA Palindrome Encoding Regex for HTML Links GitHub Clickable File Trees UTF-16 Length Explanation Surrogate Pairs vs UTF-16 UTF-16 Surrogate Pair Issue Codegolf Abacaba Encoder Decoder Perspective Projection Terms Densest Hyperbolic Circle Packing RSS Feed Resources Inversive Geometry Visualization Cloudflare CAPTCHA Proxy Issue Smith Chart Analysis Apollonian Packing Issue Naming Smith Chart Fractals Square to Circle Mapping Square to Circle Mapping Grid Size Flexibility Mapping Square Grid to Circle Visualize 5x5 Grid CSS Grid Visualization HTML Structure Issues HTML Editor Overview HTML Canvas Code Assistance Center Overflowing Text Alternatives to Scour.ing Base3 Grid Tooltip Color Duplication Issue AI URL Crawling Setup Moiré Pattern Applications Remove Min Max Validation Moltbook Overview Centering canvas properly Firefox RAM 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This is a copy of a shared ChatGPT chat. It won't be added to memory. Fri, Jul 24 at 3:08 PM You said: Web search STAR FROM 4 PICTURE IS MADE FROM TAKING CENTERS IN 1 PICTURE SO ARE ANY SOFTWARE TO COMPUTE AND VISUALIZE ( PRIORITY TO WRITE INTO VECTOR SVG ) WHOLE POINCARE APOLONIAN DIRECTIONS LIKE THROUGH CIRCLES IN 2 PICTURE WHILE THROUGH ANY ITERATION DEPTH SO WHOLE PATH STRUCTURE COULD BE VIEWED LIKE IN 3 PICTURE OF DIFERENTAL SIERPINSKI CARPET WHERE PRECISE METRIC STRUCTURE INTO ELEMENT (PIXEL) IS NAVIGABLE WHILE SUCH STRUCTURE TO BE IN CURVILINEAR POINCARE APOLONIAN ITERATED DEPTH MAP REMINDING SMITH CHART WHILE MADE IN NESTED INVERSIVE CENTRAL CIRCLES ( AND/OR POINCARE ITERATED CIRCLE INVERTION HYPERBOLICS WITHIN EACH CIRCLE ) LIKE IN PICTURES 1 AND 4 AND WHILE IN WHOLE ITERATED POINCARE DIRECTIONS SO DIFERENTAL POINCARE SIERPINSKI APOLONIAN INVERTION MAP
ChatGPT said:
Based on your images, I think you're asking for something more general than an Apollonian gasket.
You want a system that computes the entire inversion graph / geodesic navigation structure, not merely the circles themselves.
Essentially:
nodes = inversion circle centers (or Descartes configurations),
edges = inversion relation / parent-child / neighboring tangent circles,
recursively through arbitrary depth,
visualized in the Poincaré disk,
preferably exportable as SVG,
navigable like the differential SierpiÅski carpet rather than only displaying the circles.That is much closer to a hyperbolic graph visualization than to a traditional fractal renderer.
The best existing tools I know are: Software Computes geometry Hyperbolic graph SVG Arbitrary depth Suitable Fractal Science Kit (your first image) â â limited â circles only Cinderella / Cinderella2 â partial â limited educational Geogebra partial â â limited no Hypertiling (Python) ââ ââ ââ millions excellent cduck/hyperbolic ââ â â unlimited excellent HyperRogue engine â ââ no SVG huge visualization Inkscape extensions â â â no drawing only
The two strongest candidates are:
- Hypertiling âââââ
Designed specifically for huge Poincaré graphs.
It generates
vertices
adjacency
geodesics
dual graph
arbitra
