Spaces:
Running
Running
Add 2 files
Browse files- README.md +7 -5
- index.html +642 -19
README.md
CHANGED
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@@ -1,10 +1,12 @@
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---
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title:
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emoji:
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colorFrom:
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colorTo:
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sdk: static
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pinned: false
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---
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-
Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference
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---
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title: fractal-generator
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+
emoji: 🐳
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colorFrom: blue
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colorTo: blue
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sdk: static
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pinned: false
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+
tags:
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- deepsite
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---
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+
Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference
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index.html
CHANGED
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@@ -1,19 +1,642 @@
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<!
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<html>
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| 1 |
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<!DOCTYPE html>
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| 2 |
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<html lang="en">
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| 3 |
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<head>
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| 4 |
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<meta charset="UTF-8">
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| 5 |
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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| 6 |
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<title>Fractal Universe Explorer</title>
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| 7 |
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<style>
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| 8 |
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@import url('https://fonts.googleapis.com/css2?family=Montserrat:wght@400;700&family=Ubuntu+Mono&display=swap');
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| 9 |
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| 10 |
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:root {
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| 11 |
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--primary: #6c5ce7;
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| 12 |
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--secondary: #0984e3;
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| 13 |
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--dark: #2d3436;
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| 14 |
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--light: #dfe6e9;
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| 15 |
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--accent: #e17055;
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| 16 |
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}
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| 17 |
+
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| 18 |
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* {
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| 19 |
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margin: 0;
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| 20 |
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padding: 0;
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| 21 |
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box-sizing: border-box;
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| 22 |
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}
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| 23 |
+
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| 24 |
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body {
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| 25 |
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font-family: 'Montserrat', sans-serif;
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| 26 |
+
background: linear-gradient(135deg, var(--dark), #000);
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| 27 |
+
color: var(--light);
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| 28 |
+
min-height: 100vh;
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| 29 |
+
overflow-x: hidden;
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| 30 |
+
}
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| 31 |
+
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| 32 |
+
.header {
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| 33 |
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text-align: center;
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| 34 |
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padding: 2rem;
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| 35 |
+
position: relative;
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| 36 |
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}
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| 37 |
+
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| 38 |
+
.title {
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| 39 |
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font-size: 3.5rem;
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| 40 |
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margin-bottom: 1rem;
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| 41 |
+
background: linear-gradient(to right, var(--primary), var(--secondary));
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| 42 |
+
-webkit-background-clip: text;
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| 43 |
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background-clip: text;
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| 44 |
+
color: transparent;
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| 45 |
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text-shadow: 0 0 10px rgba(108, 92, 231, 0.3);
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| 46 |
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}
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| 47 |
+
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| 48 |
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.subtitle {
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| 49 |
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font-size: 1.2rem;
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| 50 |
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opacity: 0.8;
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| 51 |
+
max-width: 800px;
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| 52 |
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margin: 0 auto;
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| 53 |
+
line-height: 1.6;
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| 54 |
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}
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| 55 |
+
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| 56 |
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.container {
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| 57 |
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display: flex;
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| 58 |
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flex-direction: column;
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| 59 |
+
align-items: center;
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| 60 |
+
padding: 2rem;
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| 61 |
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}
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| 62 |
+
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| 63 |
+
.controls {
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| 64 |
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display: flex;
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| 65 |
+
flex-wrap: wrap;
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| 66 |
+
gap: 1rem;
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| 67 |
+
justify-content: center;
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| 68 |
+
margin-bottom: 2rem;
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| 69 |
+
width: 100%;
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| 70 |
+
max-width: 900px;
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| 71 |
+
}
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| 72 |
+
|
| 73 |
+
.control-group {
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| 74 |
+
display: flex;
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| 75 |
+
flex-direction: column;
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| 76 |
+
min-width: 150px;
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| 77 |
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}
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| 78 |
+
|
| 79 |
+
label {
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| 80 |
+
margin-bottom: 0.5rem;
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| 81 |
+
font-size: 0.9rem;
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| 82 |
+
opacity: 0.8;
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| 83 |
+
}
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| 84 |
+
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| 85 |
+
select, input, button {
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| 86 |
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padding: 0.8rem 1rem;
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| 87 |
+
border-radius: 8px;
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| 88 |
+
border: 2px solid rgba(255, 255, 255, 0.1);
|
| 89 |
+
background: rgba(255, 255, 255, 0.05);
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| 90 |
+
color: var(--light);
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| 91 |
+
font-family: 'Ubuntu Mono', monospace;
|
| 92 |
+
transition: all 0.3s ease;
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| 93 |
+
}
|
| 94 |
+
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| 95 |
+
select:focus, input:focus, button:focus {
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| 96 |
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outline: none;
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| 97 |
+
border-color: var(--primary);
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| 98 |
+
box-shadow: 0 0 0 3px rgba(108, 92, 231, 0.3);
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| 99 |
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}
|
| 100 |
+
|
| 101 |
+
button {
|
| 102 |
+
cursor: pointer;
|
| 103 |
+
background: linear-gradient(135deg, var(--primary), var(--secondary));
|
| 104 |
+
color: white;
|
| 105 |
+
font-weight: bold;
|
| 106 |
+
text-transform: uppercase;
|
| 107 |
+
letter-spacing: 1px;
|
| 108 |
+
border: none;
|
| 109 |
+
}
|
| 110 |
+
|
| 111 |
+
button:hover {
|
| 112 |
+
transform: translateY(-2px);
|
| 113 |
+
box-shadow: 0 5px 15px rgba(0, 0, 0, 0.3);
|
| 114 |
+
}
|
| 115 |
+
|
| 116 |
+
.canvas-container {
|
| 117 |
+
position: relative;
|
| 118 |
+
width: 800px;
|
| 119 |
+
height: 600px;
|
| 120 |
+
margin: 0 auto;
|
| 121 |
+
border-radius: 16px;
|
| 122 |
+
overflow: hidden;
|
| 123 |
+
box-shadow: 0 25px 50px -12px rgba(0, 0, 0, 0.5);
|
| 124 |
+
border: 2px solid rgba(255, 255, 255, 0.1);
|
| 125 |
+
}
|
| 126 |
+
|
| 127 |
+
canvas {
|
| 128 |
+
width: 100%;
|
| 129 |
+
height: 100%;
|
| 130 |
+
display: block;
|
| 131 |
+
}
|
| 132 |
+
|
| 133 |
+
.info-panel {
|
| 134 |
+
margin-top: 2rem;
|
| 135 |
+
max-width: 800px;
|
| 136 |
+
padding: 1.5rem;
|
| 137 |
+
background: rgba(0, 0, 0, 0.3);
|
| 138 |
+
border-radius: 16px;
|
| 139 |
+
line-height: 1.6;
|
| 140 |
+
}
|
| 141 |
+
|
| 142 |
+
.fractal-info {
|
| 143 |
+
margin-bottom: 1rem;
|
| 144 |
+
}
|
| 145 |
+
|
| 146 |
+
.fractal-title {
|
| 147 |
+
font-size: 1.5rem;
|
| 148 |
+
margin-bottom: 0.5rem;
|
| 149 |
+
color: var(--primary);
|
| 150 |
+
}
|
| 151 |
+
|
| 152 |
+
.fractal-description {
|
| 153 |
+
font-size: 0.95rem;
|
| 154 |
+
opacity: 0.9;
|
| 155 |
+
}
|
| 156 |
+
|
| 157 |
+
.loading {
|
| 158 |
+
position: absolute;
|
| 159 |
+
top: 0;
|
| 160 |
+
left: 0;
|
| 161 |
+
width: 100%;
|
| 162 |
+
height: 100%;
|
| 163 |
+
display: flex;
|
| 164 |
+
justify-content: center;
|
| 165 |
+
align-items: center;
|
| 166 |
+
background: rgba(0, 0, 0, 0.7);
|
| 167 |
+
z-index: 10;
|
| 168 |
+
opacity: 0;
|
| 169 |
+
pointer-events: none;
|
| 170 |
+
transition: opacity 0.3s ease;
|
| 171 |
+
}
|
| 172 |
+
|
| 173 |
+
.loading.active {
|
| 174 |
+
opacity: 1;
|
| 175 |
+
pointer-events: all;
|
| 176 |
+
}
|
| 177 |
+
|
| 178 |
+
.spinner {
|
| 179 |
+
width: 50px;
|
| 180 |
+
height: 50px;
|
| 181 |
+
border: 5px solid rgba(255, 255, 255, 0.1);
|
| 182 |
+
border-radius: 50%;
|
| 183 |
+
border-top-color: var(--primary);
|
| 184 |
+
animation: spin 1s ease-in-out infinite;
|
| 185 |
+
}
|
| 186 |
+
|
| 187 |
+
@keyframes spin {
|
| 188 |
+
to { transform: rotate(360deg); }
|
| 189 |
+
}
|
| 190 |
+
|
| 191 |
+
@media (max-width: 900px) {
|
| 192 |
+
.canvas-container {
|
| 193 |
+
width: 100%;
|
| 194 |
+
height: 500px;
|
| 195 |
+
}
|
| 196 |
+
}
|
| 197 |
+
|
| 198 |
+
@media (max-width: 600px) {
|
| 199 |
+
.title {
|
| 200 |
+
font-size: 2.5rem;
|
| 201 |
+
}
|
| 202 |
+
|
| 203 |
+
.subtitle {
|
| 204 |
+
font-size: 1rem;
|
| 205 |
+
}
|
| 206 |
+
|
| 207 |
+
.canvas-container {
|
| 208 |
+
height: 400px;
|
| 209 |
+
}
|
| 210 |
+
}
|
| 211 |
+
</style>
|
| 212 |
+
</head>
|
| 213 |
+
<body>
|
| 214 |
+
<div class="header">
|
| 215 |
+
<h1 class="title">Fractal Universe Explorer</h1>
|
| 216 |
+
<p class="subtitle">Explore the infinite complexity of mathematical fractals. Each fractal is generated in real-time using JavaScript, simulating what you might create with Python.</p>
|
| 217 |
+
</div>
|
| 218 |
+
|
| 219 |
+
<div class="container">
|
| 220 |
+
<div class="controls">
|
| 221 |
+
<div class="control-group">
|
| 222 |
+
<label for="fractal-type">Fractal Type</label>
|
| 223 |
+
<select id="fractal-type">
|
| 224 |
+
<option value="mandelbrot">Mandelbrot Set</option>
|
| 225 |
+
<option value="julia">Julia Set</option>
|
| 226 |
+
<option value="burning-ship">Burning Ship</option>
|
| 227 |
+
<option value="sierpinski">Sierpinski Triangle</option>
|
| 228 |
+
<option value="koch">Koch Snowflake</option>
|
| 229 |
+
</select>
|
| 230 |
+
</div>
|
| 231 |
+
|
| 232 |
+
<div class="control-group">
|
| 233 |
+
<label for="color-scheme">Color Scheme</label>
|
| 234 |
+
<select id="color-scheme">
|
| 235 |
+
<option value="rainbow">Rainbow</option>
|
| 236 |
+
<option value="fire">Fire</option>
|
| 237 |
+
<option value="ocean">Ocean</option>
|
| 238 |
+
<option value="monochrome">Monochrome</option>
|
| 239 |
+
<option value="pastel">Pastel</option>
|
| 240 |
+
</select>
|
| 241 |
+
</div>
|
| 242 |
+
|
| 243 |
+
<div class="control-group">
|
| 244 |
+
<label for="iterations">Iterations</label>
|
| 245 |
+
<input type="range" id="iterations" min="10" max="200" value="100">
|
| 246 |
+
<span id="iterations-value">100</span>
|
| 247 |
+
</div>
|
| 248 |
+
|
| 249 |
+
<div class="control-group">
|
| 250 |
+
<label for="zoom">Zoom Level</label>
|
| 251 |
+
<input type="range" id="zoom" min="1" max="20" value="1">
|
| 252 |
+
<span id="zoom-value">1x</span>
|
| 253 |
+
</div>
|
| 254 |
+
|
| 255 |
+
<button id="generate-btn">Generate Fractal</button>
|
| 256 |
+
</div>
|
| 257 |
+
|
| 258 |
+
<div class="canvas-container">
|
| 259 |
+
<canvas id="fractal-canvas"></canvas>
|
| 260 |
+
<div class="loading" id="loading">
|
| 261 |
+
<div class="spinner"></div>
|
| 262 |
+
</div>
|
| 263 |
+
</div>
|
| 264 |
+
|
| 265 |
+
<div class="info-panel">
|
| 266 |
+
<div class="fractal-info">
|
| 267 |
+
<h3 class="fractal-title">Mandelbrot Set</h3>
|
| 268 |
+
<p class="fractal-description" id="fractal-description">
|
| 269 |
+
The Mandelbrot set is the set of complex numbers c for which the function f(z) = z² + c does not diverge when iterated from z = 0.
|
| 270 |
+
It's one of the most famous fractals, exhibiting infinite complexity at every scale.
|
| 271 |
+
</p>
|
| 272 |
+
</div>
|
| 273 |
+
</div>
|
| 274 |
+
</div>
|
| 275 |
+
|
| 276 |
+
<script>
|
| 277 |
+
document.addEventListener('DOMContentLoaded', function() {
|
| 278 |
+
// DOM elements
|
| 279 |
+
const canvas = document.getElementById('fractal-canvas');
|
| 280 |
+
const ctx = canvas.getContext('2d');
|
| 281 |
+
const loading = document.getElementById('loading');
|
| 282 |
+
const generateBtn = document.getElementById('generate-btn');
|
| 283 |
+
const fractalType = document.getElementById('fractal-type');
|
| 284 |
+
const colorScheme = document.getElementById('color-scheme');
|
| 285 |
+
const iterations = document.getElementById('iterations');
|
| 286 |
+
const iterationsValue = document.getElementById('iterations-value');
|
| 287 |
+
const zoom = document.getElementById('zoom');
|
| 288 |
+
const zoomValue = document.getElementById('zoom-value');
|
| 289 |
+
const fractalDescription = document.getElementById('fractal-description');
|
| 290 |
+
|
| 291 |
+
// Canvas setup
|
| 292 |
+
function setupCanvas() {
|
| 293 |
+
const dpr = window.devicePixelRatio || 1;
|
| 294 |
+
const rect = canvas.getBoundingClientRect();
|
| 295 |
+
canvas.width = rect.width * dpr;
|
| 296 |
+
canvas.height = rect.height * dpr;
|
| 297 |
+
ctx.scale(dpr, dpr);
|
| 298 |
+
}
|
| 299 |
+
|
| 300 |
+
setupCanvas();
|
| 301 |
+
window.addEventListener('resize', setupCanvas);
|
| 302 |
+
|
| 303 |
+
// Update displayed values
|
| 304 |
+
iterations.addEventListener('input', function() {
|
| 305 |
+
iterationsValue.textContent = this.value;
|
| 306 |
+
});
|
| 307 |
+
|
| 308 |
+
zoom.addEventListener('input', function() {
|
| 309 |
+
zoomValue.textContent = `${this.value}x`;
|
| 310 |
+
});
|
| 311 |
+
|
| 312 |
+
// Fractal descriptions
|
| 313 |
+
const fractalDescriptions = {
|
| 314 |
+
'mandelbrot': 'The Mandelbrot set is the set of complex numbers c for which the function f(z) = z² + c does not diverge when iterated from z = 0. It\'s one of the most famous fractals, exhibiting infinite complexity at every scale.',
|
| 315 |
+
'julia': 'Julia sets are mathematically defined shapes that are closely related to the Mandelbrot set. Each Julia set corresponds to a different complex number c, determining the shape and complexity of the fractal pattern.',
|
| 316 |
+
'burning-ship': 'The Burning Ship fractal is a variation of the Mandelbrot set that uses a slightly different iteration formula. It reveals ship-like structures that appear to be burning, hence the name.',
|
| 317 |
+
'sierpinski': 'The Sierpinski triangle is a fractal that can be created by recursively subdividing an equilateral triangle into smaller equilateral triangles. It demonstrates perfect self-similarity at all scales.',
|
| 318 |
+
'koch': 'The Koch snowflake is a fractal constructed by starting with an equilateral triangle, then recursively altering each line segment to add a triangular bump. It has an infinite perimeter but finite area.'
|
| 319 |
+
};
|
| 320 |
+
|
| 321 |
+
// Color palettes
|
| 322 |
+
const palettes = {
|
| 323 |
+
'rainbow': (t) => {
|
| 324 |
+
const r = Math.floor((1 - t) * 255);
|
| 325 |
+
const g = Math.floor((Math.sin(t * Math.PI * 2) * 0.5 + 0.5) * 255);
|
| 326 |
+
const b = Math.floor(t * 255);
|
| 327 |
+
return `rgb(${r}, ${g}, ${b})`;
|
| 328 |
+
},
|
| 329 |
+
'fire': (t) => {
|
| 330 |
+
const r = 255;
|
| 331 |
+
const g = Math.floor(t * 128 + 127);
|
| 332 |
+
const b = Math.floor(t * 50);
|
| 333 |
+
return `rgb(${r}, ${g}, ${b})`;
|
| 334 |
+
},
|
| 335 |
+
'ocean': (t) => {
|
| 336 |
+
const r = 0;
|
| 337 |
+
const g = Math.floor(t * 100 + 50);
|
| 338 |
+
const b = Math.floor(t * 200 + 55);
|
| 339 |
+
return `rgb(${r}, ${g}, ${b})`;
|
| 340 |
+
},
|
| 341 |
+
'monochrome': (t) => {
|
| 342 |
+
const c = Math.floor(t * 255);
|
| 343 |
+
return `rgb(${c}, ${c}, ${c})`;
|
| 344 |
+
},
|
| 345 |
+
'pastel': (t) => {
|
| 346 |
+
const r = Math.floor((1 - t) * 200);
|
| 347 |
+
const g = Math.floor((t * 0.5 + 0.5) * 200);
|
| 348 |
+
const b = Math.floor((Math.sin(t * Math.PI) + 1) * 100);
|
| 349 |
+
return `rgb(${r}, ${g}, ${b})`;
|
| 350 |
+
}
|
| 351 |
+
};
|
| 352 |
+
|
| 353 |
+
// Generate fractal
|
| 354 |
+
function generateFractal() {
|
| 355 |
+
loading.classList.add('active');
|
| 356 |
+
|
| 357 |
+
// Get selected values
|
| 358 |
+
const type = fractalType.value;
|
| 359 |
+
const palette = palettes[colorScheme.value];
|
| 360 |
+
const maxIter = parseInt(iterations.value);
|
| 361 |
+
const zoomLevel = parseInt(zoom.value);
|
| 362 |
+
|
| 363 |
+
// Update description
|
| 364 |
+
document.querySelector('.fractal-title').textContent =
|
| 365 |
+
fractalType.options[fractalType.selectedIndex].text;
|
| 366 |
+
fractalDescription.textContent = fractalDescriptions[type];
|
| 367 |
+
|
| 368 |
+
// Clear and prepare canvas
|
| 369 |
+
const width = canvas.width;
|
| 370 |
+
const height = canvas.height;
|
| 371 |
+
|
| 372 |
+
// Use setTimeout to prevent UI freeze during heavy computation
|
| 373 |
+
setTimeout(() => {
|
| 374 |
+
// Draw selected fractal
|
| 375 |
+
switch(type) {
|
| 376 |
+
case 'mandelbrot':
|
| 377 |
+
drawMandelbrot(width, height, palette, maxIter, zoomLevel);
|
| 378 |
+
break;
|
| 379 |
+
case 'julia':
|
| 380 |
+
drawJulia(width, height, palette, maxIter, zoomLevel);
|
| 381 |
+
break;
|
| 382 |
+
case 'burning-ship':
|
| 383 |
+
drawBurningShip(width, height, palette, maxIter, zoomLevel);
|
| 384 |
+
break;
|
| 385 |
+
case 'sierpinski':
|
| 386 |
+
drawSierpinski(width, height, palette, maxIter);
|
| 387 |
+
break;
|
| 388 |
+
case 'koch':
|
| 389 |
+
drawKochSnowflake(width, height, palette, Math.floor(maxIter/15));
|
| 390 |
+
break;
|
| 391 |
+
}
|
| 392 |
+
|
| 393 |
+
loading.classList.remove('active');
|
| 394 |
+
}, 100);
|
| 395 |
+
}
|
| 396 |
+
|
| 397 |
+
// Mandelbrot set
|
| 398 |
+
function drawMandelbrot(width, height, palette, maxIter, zoomLevel) {
|
| 399 |
+
const zoomFactor = Math.pow(2, zoomLevel);
|
| 400 |
+
const centerX = -0.5;
|
| 401 |
+
const centerY = 0;
|
| 402 |
+
const scale = 2 / (Math.min(width, height) / 2) / zoomFactor;
|
| 403 |
+
|
| 404 |
+
const imageData = ctx.createImageData(width, height);
|
| 405 |
+
const data = imageData.data;
|
| 406 |
+
|
| 407 |
+
for (let px = 0; px < width; px++) {
|
| 408 |
+
for (let py = 0; py < height; py++) {
|
| 409 |
+
// Convert pixel coordinates to complex plane
|
| 410 |
+
const x0 = (px - width/2) * scale + centerX;
|
| 411 |
+
const y0 = (py - height/2) * scale + centerY;
|
| 412 |
+
|
| 413 |
+
let x = 0;
|
| 414 |
+
let y = 0;
|
| 415 |
+
let iter = 0;
|
| 416 |
+
|
| 417 |
+
// Iterate until escape or max iterations
|
| 418 |
+
while (x*x + y*y <= 4 && iter < maxIter) {
|
| 419 |
+
const x_new = x*x - y*y + x0;
|
| 420 |
+
y = 2*x*y + y0;
|
| 421 |
+
x = x_new;
|
| 422 |
+
iter++;
|
| 423 |
+
}
|
| 424 |
+
|
| 425 |
+
// Color based on iterations
|
| 426 |
+
const color = palette(iter/maxIter);
|
| 427 |
+
const [r, g, b] = color.match(/\d+/g);
|
| 428 |
+
const idx = (px + py * width) * 4;
|
| 429 |
+
|
| 430 |
+
// Set pixel color
|
| 431 |
+
if (iter === maxIter) {
|
| 432 |
+
// Inside the set (black)
|
| 433 |
+
data[idx] = 0;
|
| 434 |
+
data[idx+1] = 0;
|
| 435 |
+
data[idx+2] = 0;
|
| 436 |
+
} else {
|
| 437 |
+
// Outside (colored by iterations)
|
| 438 |
+
data[idx] = r;
|
| 439 |
+
data[idx+1] = g;
|
| 440 |
+
data[idx+2] = b;
|
| 441 |
+
}
|
| 442 |
+
data[idx+3] = 255; // Alpha
|
| 443 |
+
}
|
| 444 |
+
}
|
| 445 |
+
|
| 446 |
+
ctx.putImageData(imageData, 0, 0);
|
| 447 |
+
}
|
| 448 |
+
|
| 449 |
+
// Julia set (similar to Mandelbrot but with fixed c)
|
| 450 |
+
function drawJulia(width, height, palette, maxIter, zoomLevel) {
|
| 451 |
+
const zoomFactor = Math.pow(2, zoomLevel);
|
| 452 |
+
const centerX = 0;
|
| 453 |
+
const centerY = 0;
|
| 454 |
+
const scale = 2.5 / (Math.min(width, height) / 2) / zoomFactor;
|
| 455 |
+
|
| 456 |
+
// Julia parameters (can be randomized)
|
| 457 |
+
const cRe = -0.7;
|
| 458 |
+
const cIm = 0.27;
|
| 459 |
+
|
| 460 |
+
const imageData = ctx.createImageData(width, height);
|
| 461 |
+
const data = imageData.data;
|
| 462 |
+
|
| 463 |
+
for (let px = 0; px < width; px++) {
|
| 464 |
+
for (let py = 0; py < height; py++) {
|
| 465 |
+
const zx = (px - width/2) * scale + centerX;
|
| 466 |
+
const zy = (py - height/2) * scale + centerY;
|
| 467 |
+
|
| 468 |
+
let x = zx;
|
| 469 |
+
let y = zy;
|
| 470 |
+
let iter = 0;
|
| 471 |
+
|
| 472 |
+
while (x*x + y*y <= 4 && iter < maxIter) {
|
| 473 |
+
const x_new = x*x - y*y + cRe;
|
| 474 |
+
y = 2*x*y + cIm;
|
| 475 |
+
x = x_new;
|
| 476 |
+
iter++;
|
| 477 |
+
}
|
| 478 |
+
|
| 479 |
+
const color = palette(iter/maxIter);
|
| 480 |
+
const [r, g, b] = color.match(/\d+/g);
|
| 481 |
+
const idx = (px + py * width) * 4;
|
| 482 |
+
|
| 483 |
+
data[idx] = (iter === maxIter) ? 0 : r;
|
| 484 |
+
data[idx+1] = (iter === maxIter) ? 0 : g;
|
| 485 |
+
data[idx+2] = (iter === maxIter) ? 0 : b;
|
| 486 |
+
data[idx+3] = 255;
|
| 487 |
+
}
|
| 488 |
+
}
|
| 489 |
+
|
| 490 |
+
ctx.putImageData(imageData, 0, 0);
|
| 491 |
+
}
|
| 492 |
+
|
| 493 |
+
// Burning Ship fractal
|
| 494 |
+
function drawBurningShip(width, height, palette, maxIter, zoomLevel) {
|
| 495 |
+
const zoomFactor = Math.pow(2, zoomLevel);
|
| 496 |
+
const centerX = -0.5;
|
| 497 |
+
const centerY = -0.5;
|
| 498 |
+
const scale = 2.8 / (Math.min(width, height) / 2) / zoomFactor;
|
| 499 |
+
|
| 500 |
+
const imageData = ctx.createImageData(width, height);
|
| 501 |
+
const data = imageData.data;
|
| 502 |
+
|
| 503 |
+
for (let px = 0; px < width; px++) {
|
| 504 |
+
for (let py = 0; py < height; py++) {
|
| 505 |
+
const x0 = (px - width/2) * scale + centerX;
|
| 506 |
+
const y0 = (py - height/2) * scale + centerY;
|
| 507 |
+
|
| 508 |
+
let x = 0;
|
| 509 |
+
let y = 0;
|
| 510 |
+
let iter = 0;
|
| 511 |
+
|
| 512 |
+
while (x*x + y*y <= 4 && iter < maxIter) {
|
| 513 |
+
const x_new = x*x - y*y + x0;
|
| 514 |
+
y = Math.abs(2*x*y) + y0;
|
| 515 |
+
x = Math.abs(x_new);
|
| 516 |
+
iter++;
|
| 517 |
+
}
|
| 518 |
+
|
| 519 |
+
const color = palette(iter/maxIter);
|
| 520 |
+
const [r, g, b] = color.match(/\d+/g);
|
| 521 |
+
const idx = (px + py * width) * 4;
|
| 522 |
+
|
| 523 |
+
data[idx] = (iter === maxIter) ? 0 : r;
|
| 524 |
+
data[idx+1] = (iter === maxIter) ? 0 : g;
|
| 525 |
+
data[idx+2] = (iter === maxIter) ? 0 : b;
|
| 526 |
+
data[idx+3] = 255;
|
| 527 |
+
}
|
| 528 |
+
}
|
| 529 |
+
|
| 530 |
+
ctx.putImageData(imageData, 0, 0);
|
| 531 |
+
}
|
| 532 |
+
|
| 533 |
+
// Sierpinski Triangle (geometric fractal)
|
| 534 |
+
function drawSierpinski(width, height, palette, maxIter) {
|
| 535 |
+
ctx.fillStyle = 'black';
|
| 536 |
+
ctx.fillRect(0, 0, width, height);
|
| 537 |
+
|
| 538 |
+
const size = Math.min(width, height) * 0.9;
|
| 539 |
+
const marginX = (width - size) / 2;
|
| 540 |
+
const marginY = (height - size) / 2;
|
| 541 |
+
|
| 542 |
+
// Starting points (triangle)
|
| 543 |
+
let points = [
|
| 544 |
+
{x: marginX + size/2, y: marginY},
|
| 545 |
+
{x: marginX, y: marginY + size},
|
| 546 |
+
{x: marginX + size, y: marginY + size}
|
| 547 |
+
];
|
| 548 |
+
|
| 549 |
+
// Random starting point
|
| 550 |
+
let px = Math.random() * width;
|
| 551 |
+
let py = Math.random() * height;
|
| 552 |
+
|
| 553 |
+
// Draw many iterations
|
| 554 |
+
for (let i = 0; i < maxIter * 300; i++) {
|
| 555 |
+
// Choose a random corner
|
| 556 |
+
const corner = Math.floor(Math.random() * 3);
|
| 557 |
+
|
| 558 |
+
// Move halfway toward that corner
|
| 559 |
+
px = (px + points[corner].x) / 2;
|
| 560 |
+
py = (py + points[corner].y) / 2;
|
| 561 |
+
|
| 562 |
+
// Draw point
|
| 563 |
+
ctx.fillStyle = palette(i/(maxIter*300));
|
| 564 |
+
ctx.fillRect(px, py, 1, 1);
|
| 565 |
+
}
|
| 566 |
+
}
|
| 567 |
+
|
| 568 |
+
// Koch Snowflake (recursive fractal)
|
| 569 |
+
function drawKochSnowflake(width, height, palette, depth) {
|
| 570 |
+
ctx.fillStyle = 'black';
|
| 571 |
+
ctx.fillRect(0, 0, width, height);
|
| 572 |
+
|
| 573 |
+
const size = Math.min(width, height) * 0.7;
|
| 574 |
+
const centerX = width / 2;
|
| 575 |
+
const centerY = height / 2;
|
| 576 |
+
|
| 577 |
+
// Starting equilateral triangle
|
| 578 |
+
let points = [
|
| 579 |
+
{x: centerX, y: centerY - size/2},
|
| 580 |
+
{x: centerX - size/2, y: centerY + size/2},
|
| 581 |
+
{x: centerX + size/2, y: centerY + size/2}
|
| 582 |
+
];
|
| 583 |
+
|
| 584 |
+
// Draw the snowflake
|
| 585 |
+
ctx.strokeStyle = palette(1.0);
|
| 586 |
+
ctx.lineWidth = 1;
|
| 587 |
+
|
| 588 |
+
function koch(p1, p2, level) {
|
| 589 |
+
if (level === 0) {
|
| 590 |
+
ctx.beginPath();
|
| 591 |
+
ctx.moveTo(p1.x, p1.y);
|
| 592 |
+
ctx.lineTo(p2.x, p2.y);
|
| 593 |
+
ctx.strokeStyle = palette(1 - level/depth);
|
| 594 |
+
ctx.stroke();
|
| 595 |
+
} else {
|
| 596 |
+
const dx = p2.x - p1.x;
|
| 597 |
+
const dy = p2.y - p1.y;
|
| 598 |
+
|
| 599 |
+
// Calculate intermediate points
|
| 600 |
+
const a = {
|
| 601 |
+
x: p1.x + dx / 3,
|
| 602 |
+
y: p1.y + dy / 3
|
| 603 |
+
};
|
| 604 |
+
|
| 605 |
+
const b = {
|
| 606 |
+
x: p1.x + dx / 2 - dy * Math.sqrt(3)/6,
|
| 607 |
+
y: p1.y + dy / 2 + dx * Math.sqrt(3)/6
|
| 608 |
+
};
|
| 609 |
+
|
| 610 |
+
const c = {
|
| 611 |
+
x: p1.x + 2*dx/3,
|
| 612 |
+
y: p1.y + 2*dy/3
|
| 613 |
+
};
|
| 614 |
+
|
| 615 |
+
// Recursively draw the 4 segments
|
| 616 |
+
koch(p1, a, level - 1);
|
| 617 |
+
koch(a, b, level - 1);
|
| 618 |
+
koch(b, c, level - 1);
|
| 619 |
+
koch(c, p2, level - 1);
|
| 620 |
+
}
|
| 621 |
+
}
|
| 622 |
+
|
| 623 |
+
// Draw the three initial sides
|
| 624 |
+
koch(points[0], points[1], depth);
|
| 625 |
+
koch(points[1], points[2], depth);
|
| 626 |
+
koch(points[2], points[0], depth);
|
| 627 |
+
}
|
| 628 |
+
|
| 629 |
+
// Events
|
| 630 |
+
generateBtn.addEventListener('click', generateFractal);
|
| 631 |
+
fractalType.addEventListener('change', function() {
|
| 632 |
+
document.querySelector('.fractal-title').textContent =
|
| 633 |
+
this.options[this.selectedIndex].text;
|
| 634 |
+
fractalDescription.textContent = fractalDescriptions[this.value];
|
| 635 |
+
});
|
| 636 |
+
|
| 637 |
+
// Generate initial fractal
|
| 638 |
+
generateFractal();
|
| 639 |
+
});
|
| 640 |
+
</script>
|
| 641 |
+
<p style="border-radius: 8px; text-align: center; font-size: 12px; color: #fff; margin-top: 16px;position: fixed; left: 8px; bottom: 8px; z-index: 10; background: rgba(0, 0, 0, 0.8); padding: 4px 8px;">Made with <a href="https://enzostvs-deepsite.hf.space" style="color: #fff;" target="_blank" >DeepSite</a> <img src="https://enzostvs-deepsite.hf.space/logo.svg" alt="DeepSite Logo" style="width: 16px; height: 16px; vertical-align: middle;"></p></body>
|
| 642 |
+
</html>
|