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239<nav role="navigation" aria-label="Recent Comments"><ul id="recentcomments"><li class="recentcomments"><span class="comment-author-link">louisa</span> on <a href="https://superfractals.com/welcome/#comment-1466">Welcome</a></li><li class="recentcomments"><span class="comment-author-link">K. LeÅniak</span> on <a href="https://superfractals.com/sierpinski-fractal-manifold/#comment-1465">Sierpinski Fractal Manifold</a></li><li class="recentcomments"><span class="comment-author-link">K. 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247 <li class="cat-item cat-item-1"><a href="https://superfractals.com/category/uncategorized/">Uncategorized</a> 248</li> 249 </ul> 250 251 </nav></aside><aside id="archives-2" class="widget widget_archive"><h2 class="widget-title">Archives</h2><nav role="navigation" aria-label="Archives"> 252 <ul> 253 <li><a href='https://superfractals.com/2017/04/'>April 2017</a></li> 254 <li><a href='https://superfractals.com/2017/01/'>January 2017</a></li> 255 <li><a href='https://superfractals.com/2016/11/'>November 2016</a></li> 256 <li><a href='https://superfractals.com/2016/06/'>June 2016</a></li> 257 <li><a href='https://superfractals.com/2015/05/'>May 2015</a></li> 258 </ul> 259 260 </nav></aside> </div><!-- .widget-area --> 261 262 </div><!-- .secondary --> 263 264 </div><!-- .sidebar --> 265 266 <div id="content" class="site-content"> 267 268 <div id="primary" class="content-area"> 269 <main id="main" class="site-main" role="main"> 270 271 272<article id="post-59" class="post-59 page type-page status-publish hentry"> 273 274 <header class="entry-header"> 275 <h1 class="entry-title">SuperFractals</h1> </header><!-- .entry-header --> 276 277 <div class="entry-content"> 278 <p><i> 279 <div class="slideshow_container slideshow_container_style-light" style="height: 200px; " data-slideshow-id="190" data-style-name="style-light" data-style-version="2.3.1" > 280 281 <div class="slideshow_loading_icon"></div> 282 283 <div class="slideshow_content" style="display: none;"> 284 285 <div class="slideshow_view"> 286 <div class="slideshow_slide slideshow_slide_image"> 287 <img src="https://superfractals.com/wp-content/uploads/2015/05/face1.jpg" alt="face1" width="240" height="240" /> 288 <div class="slideshow_description_box slideshow_transparent"> 289 <div class="slideshow_title">face1</div> </div> 290 </div> 291 292 <div style="clear: both;"></div></div><div class="slideshow_view"> 293 <div class="slideshow_slide slideshow_slide_image"> 294 <img src="https://superfractals.com/wp-content/uploads/2015/05/face2.jpg" alt="face2" width="240" height="240" /> 295 <div class="slideshow_description_box slideshow_transparent"> 296 <div class="slideshow_title">face2</div> </div> 297 </div> 298 299 <div style="clear: both;"></div></div><div class="slideshow_view"> 300 <div class="slideshow_slide slideshow_slide_image"> 301 <img src="https://superfractals.com/wp-content/uploads/2015/05/face3.jpg" alt="face3" width="240" height="240" /> 302 <div class="slideshow_description_box slideshow_transparent"> 303 <div class="slideshow_title">face3</div> </div> 304 </div> 305 306 <div style="clear: both;"></div></div><div class="slideshow_view"> 307 <div class="slideshow_slide slideshow_slide_image"> 308 <img src="https://superfractals.com/wp-content/uploads/2015/05/face4.jpg" alt="face4" width="240" height="240" /> 309 <div class="slideshow_description_box slideshow_transparent"> 310 <div class="slideshow_title">face4</div> </div> 311 </div> 312 313 <div style="clear: both;"></div></div><div class="slideshow_view"> 314 <div class="slideshow_slide slideshow_slide_image"> 315 <img src="https://superfractals.com/wp-content/uploads/2015/05/face5.jpg" alt="face5" width="240" height="240" /> 316 <div class="slideshow_description_box slideshow_transparent"> 317 <div class="slideshow_title">face5</div> </div> 318 </div> 319 320 <div style="clear: both;"></div></div><div class="slideshow_view"> 321 <div class="slideshow_slide slideshow_slide_image"> 322 <img src="https://superfractals.com/wp-content/uploads/2015/05/face6.jpg" alt="face6" width="200" height="200" /> 323 <div class="slideshow_description_box slideshow_transparent"> 324 <div class="slideshow_title">face6</div> </div> 325 </div> 326 327 <div style="clear: both;"></div></div><div class="slideshow_view"> 328 <div class="slideshow_slide slideshow_slide_image"> 329 <img src="https://superfractals.com/wp-content/uploads/2015/05/face7.jpg" alt="face7" width="200" height="200" /> 330 <div class="slideshow_description_box slideshow_transparent"> 331 <div class="slideshow_title">face7</div> </div> 332 </div> 333 334 <div style="clear: both;"></div></div><div class="slideshow_view"> 335 <div class="slideshow_slide slideshow_slide_image"> 336 <img src="https://superfractals.com/wp-content/uploads/2015/05/face8.jpg" alt="face8" width="200" height="200" /> 337 <div class="slideshow_description_box slideshow_transparent"> 338 <div class="slideshow_title">face8</div> </div> 339 </div> 340 341 <div style="clear: both;"></div></div><div class="slideshow_view"> 342 <div class="slideshow_slide slideshow_slide_image"> 343 <img src="https://superfractals.com/wp-content/uploads/2015/05/face9.jpg" alt="face9" width="200" height="200" /> 344 <div class="slideshow_description_box slideshow_transparent"> 345 <div class="slideshow_title">face9</div> </div> 346 </div> 347 348 <div style="clear: both;"></div></div><div class="slideshow_view"> 349 <div class="slideshow_slide slideshow_slide_image"> 350 <img src="https://superfractals.com/wp-content/uploads/2015/05/face10.jpg" alt="face10" width="200" height="200" /> 351 <div class="slideshow_description_box slideshow_transparent"> 352 <div class="slideshow_title">face10</div> </div> 353 </div> 354 355 <div style="clear: both;"></div></div><div class="slideshow_view"> 356 <div class="slideshow_slide slideshow_slide_image"> 357 <img src="https://superfractals.com/wp-content/uploads/2015/05/face11.jpg" alt="face11" width="200" height="200" /> 358 <div class="slideshow_description_box slideshow_transparent"> 359 <div class="slideshow_title">face11</div> </div> 360 </div> 361 362 <div style="clear: both;"></div></div><div class="slideshow_view"> 363 <div class="slideshow_slide slideshow_slide_image"> 364 <img src="https://superfractals.com/wp-content/uploads/2015/05/face12.jpg" alt="face12" width="200" height="200" /> 365 <div class="slideshow_description_box slideshow_transparent"> 366 <div class="slideshow_title">face12</div> </div> 367 </div> 368 369 <div style="clear: both;"></div></div><div class="slideshow_view"> 370 <div class="slideshow_slide slideshow_slide_image"> 371 <img src="https://superfractals.com/wp-content/uploads/2015/05/face13.jpg" alt="face13" width="200" height="200" /> 372 <div class="slideshow_description_box slideshow_transparent"> 373 <div class="slideshow_title">face13</div> </div> 374 </div> 375 376 <div style="clear: both;"></div></div><div class="slideshow_view"> 377 <div class="slideshow_slide slideshow_slide_image"> 378 <img src="https://superfractals.com/wp-content/uploads/2015/05/face14.jpg" alt="face14" width="200" height="200" /> 379 <div class="slideshow_description_box slideshow_transparent"> 380 <div class="slideshow_title">face14</div> </div> 381 </div> 382 383 <div style="clear: both;"></div></div><div class="slideshow_view"> 384 <div class="slideshow_slide slideshow_slide_image"> 385 <img src="https://superfractals.com/wp-content/uploads/2015/05/face15.jpg" alt="face15" width="200" height="200" /> 386 <div class="slideshow_description_box slideshow_transparent"> 387 <div class="slideshow_title">face15</div> </div> 388 </div> 389 390 <div style="clear: both;"></div></div><div class="slideshow_view"> 391 <div class="slideshow_slide slideshow_slide_image"> 392 <img src="https://superfractals.com/wp-content/uploads/2015/05/face16.jpg" alt="face16" width="200" height="200" /> 393 <div class="slideshow_description_box slideshow_transparent"> 394 <div class="slideshow_title">face16</div> </div> 395 </div> 396 397 <div style="clear: both;"></div></div><div class="slideshow_view"> 398 <div class="slideshow_slide slideshow_slide_image"> 399 <img src="https://superfractals.com/wp-content/uploads/2015/05/face17.jpg" alt="face17" width="240" height="240" /> 400 <div class="slideshow_description_box slideshow_transparent"> 401 <div class="slideshow_title">face17</div> </div> 402 </div> 403 404 <div style="clear: both;"></div></div> 405 </div> 406 407 <div class="slideshow_controlPanel slideshow_transparent" style="display: none;"><ul><li class="slideshow_togglePlay" data-play-text="Play" data-pause-text="Pause"></li></ul></div> 408 409 <div class="slideshow_button slideshow_previous slideshow_transparent" role="button" data-previous-text="Previous" style="display: none;"></div> 410 <div class="slideshow_button slideshow_next slideshow_transparent" role="button" data-next-text="Next" style="display: none;"></div> 411 412 <div class="slideshow_pagination" style="display: none;" data-go-to-text="Go to slide"><div class="slideshow_pagination_center"></div></div> 413 414 <!-- WordPress Slideshow Version 2.3.1 --> 415 416 </div> 417 418</i>This is a sequence of pictures converging towards elements of a superfractal. In this case the superfractal comprises an uncountable collection of pictures. Here the superfractal is probed using a Markov Chain Monte Carlo algorithm. Three IFSs of four affine maps each are used, together with an image of a face from which colors are stolen. Here the superfractal is made from what are called ‘1-variable’ fractals.</p> 419<p>For more detailed technical information, please see the paper : <a href="http://superfractals.com/index.php/a-fractal-valued-random-iteration-algorithm-and-fractal-heirarchy/" target="_blank">A Fractal Valued Random Iteration Algorithm and Fractal Hierarchy</a> by Michael Barnsley, John Hutchinson and <span class="style7">Ã</span>rjan Stenflo.</p> 420 </div><!-- .entry-content --> 421 422 423</article><!-- #post-59 --> 424 425<div id="comments" class="comments-area"> 426 427 428 429 <div id="respond" class="comment-respond"> 430 <h3 id="reply-title" class="comment-reply-title">Leave a Reply <small><a rel="nofollow" id="cancel-comment-reply-link" href="/superfractals/#respond" style="display:none;">Cancel reply</a></small></h3><form action="https://superfractals.com/wp-comments-post.php" method="post" id="commentform" class="comment-form" novalidate><p class="comment-notes"><span id="email-notes">Your email address will not be published.</span> Required fields are marked <span class="required">*</span></p><p class="comment-form-comment"><label for="comment">Comment</label> <textarea id="comment" name="comment" cols="45" rows="8" maxlength="65525" required="required"></textarea></p><p class="comment-form-author"><label for="author">Name <span class="required">*</span></label> <input id="author" name="author" type="text" value="" size="30" maxlength="245" required='required' /></p> 431<p class="comment-form-email"><label for="email">Email <span class="required">*</span></label> <input id="email" name="email" type="email" value="" size="30" maxlength="100" aria-describedby="email-notes" required='required' /></p> 432<p class="comment-form-url"><label for="url">Website</label> <input id="url" name="url" type="url" value="" size="30" maxlength="200" /></p> 433<p class="comment-form-cookies-consent"><input id="wp-comment-cookies-consent" name="wp-comment-cookies-consent" type="checkbox" value="yes" /> <label for="wp-comment-cookies-consent">Save my name, email, and website in this browser for the next time I comment.</label></p> 434<p class="form-submit"><input name="submit" type="submit" id="submit" class="submit" value="Post Comment" /> <input type='hidden' name='comment_post_ID' value='59' id='comment_post_ID' /> 435<input type='hidden' name='comment_parent' id='comment_parent' value='0' /> 436</p><p style="display: none;"><input type="hidden" id="akismet_comment_nonce" name="akismet_comment_nonce" value="4c17284187" /></p><p style="display: none !important;"><label>Δ<textarea name="ak_hp_textarea" cols="45" rows="8" maxlength="100"></textarea></label><input type="hidden" id="ak_js" name="ak_js" value="63"/>
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