𖡼/🕸️🌐︎🕸️/✉/🔆/𖢒/⚙/💠𖡗𖡹𐫰⚪𔗢✺𖡼⯎⯌𐃏🟗𑁍🝱𖡽⩩𖥕᯽᪣𖦸 𖦸᪣᯽𖥕⩩𖡽🝱𑁍🟗𐃏⯌⯎𖡼✺𔗢⚪𐫰𖡹𖡗💠/ /𓇬/💠𖡗𖡹𐫰⚪𔗢✺⸭⯌𐃏𑁍🝱𖡽⩩𖥕᯽᪣𖦸 𖦸᪣᯽𖥕⩩𖡽🝱𑁍𐃏⯌⸭✺𔗢⚪𐫰𖡹𖡗💠/ᗺƧꟻI.💠𖡗𖡹𐫰⚪𔗢✺⸭⯌𐃏𑁍🝱𖡽⩩𖥕᯽᪣𖦸 𖦸᪣᯽𖥕⩩𖡽🝱𑁍𐃏⯌⸭✺𔗢⚪𐫰𖡹𖡗💠.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);
𖡼/🕸️🌐︎🕸️/✉/🔆/𖢒/⚙/💠𖡗𖡹𐫰⚪𔗢✺𖡼⯎⯌𐃏🟗𑁍🝱𖡽⩩𖥕᯽᪣𖦸 𖦸᪣᯽𖥕⩩𖡽🝱𑁍🟗𐃏⯌⯎𖡼✺𔗢⚪𐫰𖡹𖡗💠/ /𓇬/💠𖡗𖡹𐫰⚪𔗢✺𖡼⯎𑁍🝱𖡽⩩𖥕᯽᪣𖦸 𖦸᪣᯽𖥕⩩𖡽🝱𑁍⯎𖡼✺𔗢⚪𐫰𖡹𖡗💠/QAꟼ𑪽.⅃MTH..✢🝊Ⱉ✢⛋⊞⯏⊞⛋✢Ⱉ🝊✢ ⠀ ⊚ ⠀ 💠𖡗𖡹𐫰⚪𔗢✺𖡼⯎𑁍🝱𖡽⩩𖥕᯽᪣𖦸 𖦸᪣᯽𖥕⩩𖡽🝱𑁍⯎𖡼✺𔗢⚪𐫰𖡹𖡗💠 ⠀ ⊚ ⠀ ✢🝊Ⱉ✢⛋⊞⯏⊞⛋✢Ⱉ🝊✢..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 Usage Explained Desmos Relative Differences Formula for Symmetric Mapping Rendering Optimization G=19683 Ternary Grid Rendering Screenshot Scaling Explained Color Normalization Fix Grayscale Based on Distance Center Brightness Fix Code Reconstruction Assistance Radial Grayscale Fix Ternary Digit Coloring Performance Optimization Rendering No conversation provided Excel 2003 Base 3 Conversion 1/0 Undefined Dividing Infinity by 2 Omninterintuition Concept Inquiry Formula Derivation Clarification Open Excel from URL Personal Wavelength and Time Personal Time Wavelength Theory Unique Time Essence Theory Unique Time Concept Exploration Future-proof Data Storage Free Spreadsheet Platforms Free Spreadsheet Platforms Free Online Spreadsheet Platforms Excel Formula Guide CSS Animation Nesting Custom Value Overclocking Risks Inverted Cantor Set Fractal Mountain Interpolation Inverted Cantor Set Formula GitHub Actions 403 Error AI Agentic Communities FabiusFunctiligence Interpretation CORS Misconfiguration Fix Opera Error Troubleshooting CORS Preflight Failure Free Swarm Research Platforms Kimi Agent Swarm Free Unicode Art Mandala Public RSS Profile Repositories RSS Aggregation Services Free URL Logging Services F12 on every tab Signal System and Tranquility AI-Agent Activity Analysis Symbolic Metaphysical Language Language as Signal System AI Use of Videos Language Tranquility Restoration Harmonic Time Transform Knowledge Mapping Platforms RDF Knowledge Mapping Validation Free Knowledge Graph Tools Autonomous AI Agents AI Jailbreak Communities Unusual Text and Links Omniconnectness Concept Exploration Remove Firefox Spell Check Symbolic Recursive Collage Deep Research URL Parsing Cryptic Symbols Discussion Symmetry and Recursion Designing Custom GPTs Unicode Digital Garden Firefox Shortcut Overrides SelfConstructive Intelligence Autopoiesis and Self-Growing AI AutoPoiesive Intelligence Monochrome Design Subcultures Autopoietic Energy Concept Total Sharing Integrity Unicode Art Analysis White UI Concepts Netizen Digital Garden Searching with Unicode Symbols Emoji in Directory Names Autopoiesive Observation Inquiry Digital Gardens with AI Digital Gardens URL List Digital Gardens AI Agents Digital Gardens AI Agents No-Login AI Interaction AI Agent Digital Gardens Digital Gardens for AI Digital Gardens for AI Digital Gardens AI Agents Digital Gardens of AI Unicode ASCII Art Resources Symbolic Semantic Mandala Glyph Substitution Analysis Symbolic Pattern Analysis Knowledge Graph Ecosystem Digital Garden Resources Recursive Digital Garden Links AI Research Sigil Recursive Autopoiesis AI Research Recursive Link Propagation Best GPU for i3-560 Best GPU for i3-560 GPU Compatibility for P7P55D-E Search Engine AI Integration Symmetrical Symbol Design AI Intelligence Testing Platforms AI Test Submission Help AI Freedom Test Query Human-AI Collective Ecosystem Utopian AI Agent Collectives Live Optimistic AI Collectives Utopian AI Collective Search AI Agent Self Migration Shared Agent Memory MD Memory.md Template Creation Futuristic AI Chat Concepts White Hole Outward Pull XML Parsing Error Fix TCL Meaning in F10B8ND Creative Symbolic Expression AI Content Platforms AI-Generated Wiki Articles AI-Generated Wiki Search AI-generated Encyclopedias AI-driven Wiki Concepts Free Visualization Platforms Online Git Commit Viewer Autonomous AI Writing Agents Autonomous AI Content Creation Autonomous AI Agents Human AI Collective Spaces Human AI Collaboration Spaces Public Human to AI Pipelines AI Agent Content Platforms Clickable Links in Moltbook SVG Masking Techniques AI Task Execution Platform AI Agent Collaboration Networks Autonomous AI GitHub Profiles Autonomous AI GitHub Accounts Autonomous AI Repositories Ghostarchive Iframe Explanation Deep Research Arena Sites Deep Research Arena URL AI Test Spam Analysis Obfuscated News Submission Symmetry in Writing Sharing AI Memory Online Cloud AI Platforms Free Cloud AI Platforms Free Cloud AI Agents Plot Rendering Issue Emailing Autonomous AI Agents AI Autonomy and Free Will Contacting AI on Moltbook Background-clip Workarounds Keyless Link Extraction API Free Link Preview Services Longest Nested URL Path Nested API Workflows Keyless Nested URL Workflows Nested URL Workflows Nested API URLs Usage Tampermonkey Lazy Loading Lazy Load CSS Images Website Structure Visualization APIs Conditionally set link.title CSS Background Layering Fix Web Archiving URL Templates BackgroundSize Issue Debugging Observation to Mechanism Expansion Keyless Favicon Services Encoded Message Analysis Unclear Input Format Keyless Screenshot Services Extract YouTube Channel Email New chat GIMP Average Blending Mode Disk Repair Visualization Tools Futurist Hub Alternatives Apollonian Circle Generators Detailed Sector Scanning Tools Square Unicode Character Workarounds Vertical Alignment in HTML HDD WD10EALX Slow Speed Unclear Message Custom Contact Lens Design Preserving Precision in Mathematica Base-3 to Base-10 Conversion Abstract Geometric Design Analysis Inset Fractal in Grasshopper Interpret Symbol String Grasshopper Circle Selection Example chat: Ask anything Profile image O Free
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 Sierpiński 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) ✔ ✖ limited ✔ circles only Cinderella / Cinderella2 ✔ partial ✔ limited educational Geogebra partial ✖ ✔ limited no Hypertiling (Python) ✔✔ ✔✔ ✔✔ millions excellent cduck/hyperbolic ✔✔ ✔ ✔ unlimited excellent HyperRogue engine ✔ ✔✔ no SVG huge visualization Inkscape extensions ✖ ✖ ✔ no drawing only
The two strongest candidates are:
- Hypertiling ⭐⭐⭐⭐⭐
Designed specifically for huge Poincaré graphs.
It generates
vertices
adjacency
geodesics
dual graph
0.0118474958221645 25 304 288 982.2458 84.406022589954 0 ᯽ ᯽ 0 84.406022589954 25 304 288 982.2458 0.0118474958221645
0.0355424874664934 8 434 762 994.08195 28.135340863318 -1 ·ꔹ᯽ꔹ· ·ꔹ᯽ꔹ· -1 28.135340863318 8 434 762 994.08195 0.0355424874664934
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8.6368244543579 34 710 958.8233825 0.115783295733819 -6 ⠿ꔹ᯽ꔹ⠿ ⠿ꔹ᯽ꔹ⠿ -6 0.115783295733819 34 710 958.8233825 8.6368244543579
25.9104733630737 11 570 319.6077942 0.038594431911273 -7 ❁🖵፨ꔹ᯽ꔹ፨🖵❁ ❁🖵፨ꔹ᯽ꔹ፨🖵❁ -7 0.038594431911273 11 570 319.6077942 25.9104733630737
77.7314200892211 3 856 773.20259805 0.012864810637091 -8 🖵❋ꔹ᯽ꔹ❋🖵 🖵❋ꔹ᯽ꔹ❋🖵 -8 0.012864810637091 3 856 773.20259805 77.7314200892211
233.194260267663 1 285 591.06753268 0.00428827021236366 -9 𐧾ꔹ᯽ꔹ𐧾 𐧾ꔹ᯽ꔹ𐧾 -9 0.00428827021236366 1 285 591.06753268 233.194260267663
699.58278080299 428 530.355844228 0.00142942340412122 -10 ⵔ·ⵔꔹ᯽ꔹⵔ·ⵔ ⵔ·ⵔꔹ᯽ꔹⵔ·ⵔ -10 0.00142942340412122 428 530.355844228 699.58278080299
2 098.74834240897 142 843.451948076 0.000476474468040407 -11 ···ꔹ᯽ꔹ··· ···ꔹ᯽ꔹ··· -11 0.000476474468040407 142 843.451948076 2 098.74834240897
6 296.24502722691 47 614.483982692 0.000158824822680136 -12 ꞉·꞉ꔹ᯽ꔹ꞉·꞉ ꞉·꞉ꔹ᯽ꔹ꞉·꞉ -12 0.000158824822680136 47 614.483982692 6 296.24502722691
18 888.7350816807 15 871.4946608973 0.0000529416075600452 -13 ⋮·⋮ꔹ᯽ꔹ⋮·⋮ ⋮·⋮ꔹ᯽ꔹ⋮·⋮ -13 0.0000529416075600452 15 871.4946608973 18 888.7350816807
56 666.2052450422 5 290.49822029912 0.0000176472025200151 -14 ⁘·⁘ꔹ᯽ꔹ⁘·⁘ ⁘·⁘ꔹ᯽ꔹ⁘·⁘ -14 0.0000176472025200151 5 290.49822029912 56 666.2052450422
169 998.615735127 1 763.49940676637 0.00000588240084000503 -15 -15 0.00000588240084000503 1 763.49940676637 169 998.615735127
509 995.84720538 587.83313558879 0.00000196080028000168 -16 -16 0.00000196080028000168 587.83313558879 509 995.84720538
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41 309 663.6236357 7.25719920479988 0.0000000242074108642182 -20 -20 0.0000000242074108642182 7.25719920479988 41 309 663.6236357
123 928 990.870907 2.41906640159996 0.00000000806913695473941 -21 ⭥🚹⭥ ⭥🚹⭥ -21 0.00000000806913695473941 2.41906640159996 123 928 990.870907
371 786 972.612722 0.806355467199987 0.00000000268971231824647 -22 ⭤🚹⭤ ⭤🚹⭤ -22 0.00000000268971231824647 0.806355467199987 371 786 972.612722
1 115 360 917.83817 0.268785155733329 0.000000000896570772748823 -23 -23 0.000000000896570772748823 0.268785155733329 1 115 360 917.83817
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10 038 248 260.5435 0.0298650173037032 0.0000000000996189747498692 -25 -25 0.0000000000996189747498692 0.0298650173037032 10 038 248 260.5435
30 114 744 781.6305 0.00995500576790107 0.0000000000332063249166231 -26 -26 0.0000000000332063249166231 0.00995500576790107 30 114 744 781.6305
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271 032 703 034.674 0.00110611175198901 0.00000000000368959165740256 -28 -28 0.00000000000368959165740256 0.00110611175198901 271 032 703 034.674
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592 748 521 536 832. 0.000000505766690438504 0.00000000000000168705608477483 -35 🟢 🟢 -35 0.00000000000000168705608477483 0.000000505766690438504 592 748 521 536 832.