tag:blogger.com,1999:blog-35712509364084820622024-03-04T23:25:10.154-08:00Pictures of Mathsylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.comBlogger192125tag:blogger.com,1999:blog-3571250936408482062.post-73052341179652660302016-03-28T09:52:00.003-07:002016-03-28T09:52:40.500-07:00<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
Infinite families of tangent circles. More <a href="http://benice-equation.blogspot.com/2013/10/infinite-families-of-tangent-circles.html">here</a><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="http://4.bp.blogspot.com/-jWuNoys_yW0/UnLAXswrHvI/AAAAAAAADO4/NYE_q7nzG0g/s1600/tangent_circles_04.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://4.bp.blogspot.com/-jWuNoys_yW0/UnLAXswrHvI/AAAAAAAADO4/NYE_q7nzG0g/s1600/tangent_circles_04.gif" height="320" width="320" /></a><a href="http://2.bp.blogspot.com/-tjw9okP4b80/UnLACyK5wbI/AAAAAAAADOg/yzA_iFdkxkk/s1600/tangent_circles_01.gif" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/-tjw9okP4b80/UnLACyK5wbI/AAAAAAAADOg/yzA_iFdkxkk/s1600/tangent_circles_01.gif" height="320" width="320" /></a></div>
sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-56018471669197331812016-03-22T14:55:00.004-07:002016-03-22T14:58:22.241-07:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEoSJS8WI6K8R3n3cEAEOLL9Es4rAkj_NYe_OD9tzQxdxgwAZ6DVobuCM7bi95LKpd70MW9R0934eztX4JYSE2_Ol9Ai5rVTZfWtPEMB7DMFivnAQ_M1J8Mcc3s7RBTbh9_Vn578rfa91V/s1600/theodors_truck.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEoSJS8WI6K8R3n3cEAEOLL9Es4rAkj_NYe_OD9tzQxdxgwAZ6DVobuCM7bi95LKpd70MW9R0934eztX4JYSE2_Ol9Ai5rVTZfWtPEMB7DMFivnAQ_M1J8Mcc3s7RBTbh9_Vn578rfa91V/s400/theodors_truck.jpg" width="400" /></a></div>
<a href="http://paulbourke.net/fractals/popcorn/">Pickover's Popcorn fractal</a> rendered
using a triangular variation of the <a href="https://en.wikipedia.org/wiki/Hilbert_curve">Hilbert space-filling curve</a>.<br />
By <a href="http://gallery.bridgesmathart.org/exhibitions/2015-joint-mathematics-meetings/lkmitch">Kerry Mitchell </a>sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-46649196706257629162016-03-22T13:24:00.000-07:002016-03-22T13:29:35.632-07:00Visualizing Conformal Mapping<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<a href="data:image/png;base64,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" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a>Beautiful works by <a href="http://gallery.bridgesmathart.org/exhibitions/2014-bridges-conference/s31415">Samuel Monnier</a> visually exploring the <a href="https://en.wikipedia.org/wiki/Latt%C3%A8s_map">Lattès map</a><br />
<img alt="" src="data:image/png;base64,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" /> <br />
<div class="separator" style="clear: both; text-align: center;">
<a href="data:image/png;base64,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" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjU1zuq79N3hMuFsC8o72kBuV-SC68qWvUN3MDe76pE5BDnY8x2zHBTxwc3BlNA5hoFQFS3lwYYjf7WU3sjPlBpOwkoREwxQeuZdMLh0_635TI97cwLM9omBnzUFxWP6HDhq2BRzLWq7ATy/s1600/20120601-lat33.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjU1zuq79N3hMuFsC8o72kBuV-SC68qWvUN3MDe76pE5BDnY8x2zHBTxwc3BlNA5hoFQFS3lwYYjf7WU3sjPlBpOwkoREwxQeuZdMLh0_635TI97cwLM9omBnzUFxWP6HDhq2BRzLWq7ATy/s320/20120601-lat33.jpg" width="320" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiB9Czxi79Rw6aOgfUJpAj2IYT8c4pvsn9L_ROoA7qRC7iVDJf6er45Dt7pjLE9YsZUAnKDCZQffKHYSFEVw-qntNuQa3rGdhEL0EAh4WkQ2s2K4tJWDYDlryknMj10I4Vl3OgMl6qf8ahK/s1600/20120514-lat30.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiB9Czxi79Rw6aOgfUJpAj2IYT8c4pvsn9L_ROoA7qRC7iVDJf6er45Dt7pjLE9YsZUAnKDCZQffKHYSFEVw-qntNuQa3rGdhEL0EAh4WkQ2s2K4tJWDYDlryknMj10I4Vl3OgMl6qf8ahK/s320/20120514-lat30.jpg" width="320" /></a></div>
sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-70986442056370266222016-03-22T12:59:00.001-07:002016-03-22T12:59:56.582-07:00Limit set<div class="separator" style="clear: both; text-align: center;">
<a href="http://homepages.math.uic.edu/~ddumas/limset/cg1h_horo_anim.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://homepages.math.uic.edu/~ddumas/limset/cg1h_horo_anim.gif" height="320" width="167" /></a></div>
<a href="https://en.wikipedia.org/wiki/Limit_set">Limit set</a> of a group determined by a thrice punctured sphere<br />
By <a href="http://homepages.math.uic.edu/~ddumas/limset/">David Dumas</a>sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-46625303012734490132016-01-24T21:48:00.002-08:002016-03-22T13:30:35.630-07:00Twin Snowflakes<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="story-body-text story-content" data-para-count="253" data-total-count="605" itemprop="articleBody">
"Since each snowflake faces a <a href="http://www.nytimes.com/2014/12/02/science/snowflake-symmetry.html">different turbulent path</a>
through the atmosphere, each twist, turn and fall grants it a unique
symmetry. But if you subtract nature’s volatility from the equation,
then these icy flowers are no longer guaranteed uniqueness.</div>
<div class="story-body-text story-content" data-para-count="205" data-total-count="810" itemprop="articleBody">
By
placing two crystal seeds next to each other and growing them under the
exact same conditions, Dr. Libbrecht found that he could create two
snowflakes with nearly the same intricate shapes and patterns."</div>
<div style="text-align: left;">
<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZ9SNnBZlH5XG6vk15d8WOTCNWB_VPDgurafR90a7kEVCVQn5uN3oX0tGTJ1sUMHl9XlNjX1TFkLVuhTTH3rrATC-mdG9ycKo-KRhX9ZGYVTpShpvmNalU6r211Jdp3LVPGgtcrLC3JShx/s1600/Screen+Shot+2016-01-25+at+12.50.37+AM.png" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZ9SNnBZlH5XG6vk15d8WOTCNWB_VPDgurafR90a7kEVCVQn5uN3oX0tGTJ1sUMHl9XlNjX1TFkLVuhTTH3rrATC-mdG9ycKo-KRhX9ZGYVTpShpvmNalU6r211Jdp3LVPGgtcrLC3JShx/s400/Screen+Shot+2016-01-25+at+12.50.37+AM.png" width="400" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><span class="caption-text" style="font-size: small;">Twin snowflakes, grown from crystals under the same temperature and humidity conditions, surrounded by water droplets. </span><span class="credit" itemprop="copyrightHolder" style="font-size: small;">
(<a href="http://www.nytimes.com/2016/01/23/science/who-ever-said-no-two-snowflakes-were-alike.html?rref=collection%2Fsectioncollection%2Fscience&_r=0">Kenneth Libbrech</a>) </span></td></tr>
</tbody></table>
</div>
<br />
<div style="text-align: left;">
<br />
<span class="credit" itemprop="copyrightHolder" style="font-size: small;"></span>
<br />
<br />
<br />
<figure class="media photo embedded has-adjacency layout-jumbo-horizontal media-100000004160318" data-media-action="modal" id="media-100000004160318" itemid="http://static01.nyt.com/images/2016/01/22/science/22Snowflake3/22Snowflake3-master1050.jpg" itemprop="associatedMedia" itemscope="" itemtype="http://schema.org/ImageObject" role="group"><figcaption class="caption" itemprop="caption description"></figcaption><figcaption class="caption" itemprop="caption description"><br />
</figcaption><figcaption class="caption" itemprop="caption description">
</figcaption></figure></div>
sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-10114495196242229332015-10-01T21:16:00.000-07:002015-10-01T21:16:15.489-07:00<div class="separator" style="clear: both; text-align: left;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgP7nMUqmdiS_iLk0NXZCHqsuqazmU3N9s_N0loVafRU1bFHpoIiZo31hoShWFGFNRM2W13zi2nARio3_m9d4tyJy7z317G6JcIBqjR6EyqfdgsUaA4QNnKigIc519LADa_5_jyc1dkwsD1/s1600/2CF13E0100000578-0-image-a-9_1443721626562.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="270" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgP7nMUqmdiS_iLk0NXZCHqsuqazmU3N9s_N0loVafRU1bFHpoIiZo31hoShWFGFNRM2W13zi2nARio3_m9d4tyJy7z317G6JcIBqjR6EyqfdgsUaA4QNnKigIc519LADa_5_jyc1dkwsD1/s400/2CF13E0100000578-0-image-a-9_1443721626562.jpg" width="400" /></a></div>
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
new record for largest skydiving formation - 202 people
sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-15515004670399798502015-02-16T17:48:00.001-08:002015-02-16T17:48:06.789-08:00<a href="http://i.stack.imgur.com/j0VcR.png" imageanchor="1" ><img border="0" src="http://i.stack.imgur.com/j0VcR.png" /></a>
Multiplication table mod 512sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-30287206927577582512015-02-16T17:44:00.000-08:002015-02-16T17:44:29.938-08:00<a href="http://i.imgur.com/gL0U75t.gif" imageanchor="1" ><img border="0" src="http://i.imgur.com/gL0U75t.gif" /></a>sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-30352781808677840992015-02-15T14:36:00.001-08:002020-02-13T15:37:04.649-08:00John Conway's Game of Life<br />
<br />
<iframe allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/C2vgICfQawE?rel=0" width="560"></iframe>
jump to 1:55sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com1tag:blogger.com,1999:blog-3571250936408482062.post-15569782014646716972015-02-15T08:50:00.003-08:002015-02-15T08:52:29.019-08:00<div class="separator" style="clear: both; text-align: center;">
<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgLQm7zLIrtcrP3g7CcPap9nYa3ZaofZKXsgzcVAfyC-n8uRk6NMVkGZzt-flKzGp2DMWpvzYp6uhJQk5bBSIdXuGk8_oxcUq8q3A5Yg6T2SZg88rs6xxLvxSmUtrHhxh2VIdPUYjW_IeYC/s1600/800px-PrimitivePythagoreanTriplesRev08.svg.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgLQm7zLIrtcrP3g7CcPap9nYa3ZaofZKXsgzcVAfyC-n8uRk6NMVkGZzt-flKzGp2DMWpvzYp6uhJQk5bBSIdXuGk8_oxcUq8q3A5Yg6T2SZg88rs6xxLvxSmUtrHhxh2VIdPUYjW_IeYC/s1600/800px-PrimitivePythagoreanTriplesRev08.svg.png" height="199" width="400" /></a></div>
<br />
<div>
<a href="http://en.wikipedia.org/wiki/Pythagorean_triple">Primitive Pythagorean Triples</a></div>
sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-83415097783354391082013-03-24T18:12:00.000-07:002013-03-24T18:12:23.827-07:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEia34w_NLlcbULrqdMBpjboB6hOLp8lbJbtdY5dqX4Pm5olKGs85CiV4ndZCLBHZOO53GSYYue1tRjMnmX0sl035avcA5wgIU-fJeKFLYP_Tz2V6uRFmO4JudgmFn5CiK2D6z37h_7NjiDo/s1600/torus_knot_twisted.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEia34w_NLlcbULrqdMBpjboB6hOLp8lbJbtdY5dqX4Pm5olKGs85CiV4ndZCLBHZOO53GSYYue1tRjMnmX0sl035avcA5wgIU-fJeKFLYP_Tz2V6uRFmO4JudgmFn5CiK2D6z37h_7NjiDo/s1600/torus_knot_twisted.png" width="475" /></a></div>
<br />
"The shapes are are nodes of a twisted torus knot. In producing the model, surface normals were reversed to maintain color interest and mathematical harmony. A <a href="http://en.wikipedia.org/wiki/Torus_knot">torus knot</a> is a knot that lies on the surface of an unknotted torus in R3."<br />
By <a href="http://gallery.bridgesmathart.org/exhibitions/2013-joint-mathematics-meetings/harry-benke">Harry Benke </a>sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-85340711525986837332013-03-23T23:17:00.000-07:002013-03-23T23:17:30.592-07:00<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDsx6KjEWGYj9n6G063i54KUUiCNJ4dv4_3fpefSfQQxTXjfJ4humBkP6JDwb1QCNTRIMavsbcUha8yq30kiQ20XzT6gPztMaBnx3Z5CNdIW2GgVi2JkFWp7TCjDIBoKS0m1PudZdCEcmN/s1600/convergence.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDsx6KjEWGYj9n6G063i54KUUiCNJ4dv4_3fpefSfQQxTXjfJ4humBkP6JDwb1QCNTRIMavsbcUha8yq30kiQ20XzT6gPztMaBnx3Z5CNdIW2GgVi2JkFWp7TCjDIBoKS0m1PudZdCEcmN/s400/convergence.png" width="500" /></a></div>
<br />
"This image is produced by applying <a href="http://en.wikipedia.org/wiki/Newton%27s_method">Newton's method</a> for root finding to
the complex function (z^(2+3i)-.09)*(z^(2-3i) -.09).The white areas are
points in the complex plane where this function does not converge to
any root. The background is produced using Perlin noise functions."<br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOlvSi0S9XhM7vedgmpY3cLIn_hFcQuDOiEVU1-tGH-fafWrrmGYs_8BM-f0SAqQ51e5oWBPwwqMWXTIIrh46k6KSLB6zU5UG32Kmopz1uglpTuOY35YD_dpMsKBbY85Z3Fppmvp2bZ8QF/s1600/starwheeljmm.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOlvSi0S9XhM7vedgmpY3cLIn_hFcQuDOiEVU1-tGH-fafWrrmGYs_8BM-f0SAqQ51e5oWBPwwqMWXTIIrh46k6KSLB6zU5UG32Kmopz1uglpTuOY35YD_dpMsKBbY85Z3Fppmvp2bZ8QF/s1600/starwheeljmm.png" width="500" /></a></div>
<br />
"This image is produced by iterating the complex polynomial (z^2-2)/z^2.
This complex polynomial has no attracting fixed points in the complex
plane."<br />
<br />
By <a href="http://gallery.bridgesmathart.org/exhibitions/2013-joint-mathematics-meetings/navigus">Robert Spann </a>sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-59068036870157363302013-03-21T20:50:00.000-07:002013-03-21T21:10:43.382-07:00<a href="http://www.thisiscolossal.com/2013/03/light-sculptures-by-diet-wiegman/">Light sculptures by Diet Wiegman</a><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjee__y2Xx20t78nVBQk_NeiZ4htHOORhnzLCqaakWbnCzSNCBOlN-2AfD_l2lq_S-IdadALW-N6K2SwfD8DPsyOHGkNmHkSZANuvvN1D3hiRLy480hGZGnoLzOojnjcYWAPs2jv2N5MZHH/s1600/diet-2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjee__y2Xx20t78nVBQk_NeiZ4htHOORhnzLCqaakWbnCzSNCBOlN-2AfD_l2lq_S-IdadALW-N6K2SwfD8DPsyOHGkNmHkSZANuvvN1D3hiRLy480hGZGnoLzOojnjcYWAPs2jv2N5MZHH/s640/diet-2.png" width="513" /> </a></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_G72StjM2GZs0X79FO9OfX50QEOLwCymTBS_OULBLCYj5VZizz-6-7T8DKc-KYDn4X1L9oNxBxrqgup-bu15LeuJdrMVkHSBvibx8gDTpy0zZMHtgkxoSORYxQHpyltk3RMNCa60NgG7o/s1600/diet-3.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_G72StjM2GZs0X79FO9OfX50QEOLwCymTBS_OULBLCYj5VZizz-6-7T8DKc-KYDn4X1L9oNxBxrqgup-bu15LeuJdrMVkHSBvibx8gDTpy0zZMHtgkxoSORYxQHpyltk3RMNCa60NgG7o/s640/diet-3.png" width="480" /></a></div>
<div style="text-align: left;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjee__y2Xx20t78nVBQk_NeiZ4htHOORhnzLCqaakWbnCzSNCBOlN-2AfD_l2lq_S-IdadALW-N6K2SwfD8DPsyOHGkNmHkSZANuvvN1D3hiRLy480hGZGnoLzOojnjcYWAPs2jv2N5MZHH/s1600/diet-2.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"> </a> </div>
<div style="text-align: left;">
<br /></div>
<div style="text-align: left;">
It's awesome how two different projections of a 3-dimensional object onto a 2-dimensional plane can look nothing alike. I like that in each of these pictures we're looking at both projections at once.
</div>
sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-64085046911725561412013-01-23T10:26:00.003-08:002013-01-23T10:26:55.499-08:00<iframe width="560" height="315" src="http://www.youtube.com/embed/QiYIYXEX9Ko?rel=0" frameborder="0" allowfullscreen></iframe>
How locks worksylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-23721231563528611412013-01-22T20:37:00.000-08:002013-01-22T20:37:54.417-08:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXU7dj76u5KnZ-RV4WXj-B9gtvd0S3ix02EL-j8fWgy_gN7sey7b_xYbx7jlNlk5B7I4XPstet22OMDHB_vYIoi0i0fWI_nxKdUNTEewsZFR1EbMxJxOEzbIByCw2f-FCM22VD8rUEUPyB/s1600/jonty-3.jpg" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" width="500" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXU7dj76u5KnZ-RV4WXj-B9gtvd0S3ix02EL-j8fWgy_gN7sey7b_xYbx7jlNlk5B7I4XPstet22OMDHB_vYIoi0i0fWI_nxKdUNTEewsZFR1EbMxJxOEzbIByCw2f-FCM22VD8rUEUPyB/s400/jonty-3.jpg" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjprbb0kHEmxrt3LEV1NR-snKqc7p3dDkpE1Ux1ix-5FstLEVYwJulnVp7OikQI3crwuB57DOabiFn_8Cw4rCL8Q1GUBF7XYLqwyRLaY_bDP_F3uTww6knwvqlMV_T-vdr77WE6F4r2rqPX/s1600/jonty-2.jpg" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" width="500" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjprbb0kHEmxrt3LEV1NR-snKqc7p3dDkpE1Ux1ix-5FstLEVYwJulnVp7OikQI3crwuB57DOabiFn_8Cw4rCL8Q1GUBF7XYLqwyRLaY_bDP_F3uTww6knwvqlMV_T-vdr77WE6F4r2rqPX/s400/jonty-2.jpg" /></a></div>
"Artist Jonty Hurwitz makes <a href="http://laughingsquid.com/distorted-anamorphic-sculptures-by-jonty-hurwitz/">anamorphic sculptures</a> that at first glance appear abstract, but when viewed in a certain way, reveal distinct forms. To create the effect, Hurwitz scans objects and then distorts them using 3D software and quite a lot of math. The completed sculptures can then be viewed undistorted using mirrored cylinders or from very specific angles."sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-20024032475465648302012-12-08T14:31:00.000-08:002012-12-08T14:31:56.925-08:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgxvl4hvexp_wr_jZSZm4sRuwMuAEoWM4u9aPWRuJ2uNfl_8vDg3tXfTYgeM55Z5fb8SUO5Plq7ryBKiX5mIb8L8NngOF7pBIch4WOLz49_KItrc8riEe7MoWb8x5Tm3yU7HliGTvuS7gD2/s1600/Screen+shot+2012-12-08+at+5.37.00+PM.png" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" width="500" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgxvl4hvexp_wr_jZSZm4sRuwMuAEoWM4u9aPWRuJ2uNfl_8vDg3tXfTYgeM55Z5fb8SUO5Plq7ryBKiX5mIb8L8NngOF7pBIch4WOLz49_KItrc8riEe7MoWb8x5Tm3yU7HliGTvuS7gD2/s400/Screen+shot+2012-12-08+at+5.37.00+PM.png" /></a></div>
<a href="http://www.futilitycloset.com/2012/11/16/the-earthquake-rose/?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed:%20FutilityCloset%20%28Futility%20Closet%29">
"When a magnitude 6.8 earthquake shook Olympia, Wash., in 2001, shopowner Jason Ward discovered that a sand-tracing pendulum had recorded the vibrations in the image above."</a>sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com1tag:blogger.com,1999:blog-3571250936408482062.post-16717498183708084702012-11-30T12:16:00.001-08:002012-11-30T12:16:56.867-08:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggxa8M25Pu2dONiZQyQ5rDvIJN7T1wXOCcGOzAGgCl3sXSSjqwTEtaz-3CiBTN3zwi7LMeZuMU-JsGhyNkVOMDG3hT1QpFm2mkluJi7mp03ccAJ9seOQ4OwQZkcOW8ser2XKodZbhGvL3E/s1600/Screen+shot+2012-11-30+at+3.23.41+PM.png" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" width="500" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggxa8M25Pu2dONiZQyQ5rDvIJN7T1wXOCcGOzAGgCl3sXSSjqwTEtaz-3CiBTN3zwi7LMeZuMU-JsGhyNkVOMDG3hT1QpFm2mkluJi7mp03ccAJ9seOQ4OwQZkcOW8ser2XKodZbhGvL3E/s400/Screen+shot+2012-11-30+at+3.23.41+PM.png" /></a></div>
Forty billion particles evolve under their own gravity. More <a href="http://www.mpa-garching.mpg.de/galform/millennium/">here</a>.sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-70047456348874837862012-11-30T11:28:00.002-08:002012-11-30T11:28:14.830-08:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhtueW44OPy_ay1XCFXGUvBMWicA0CGWcIzjy0sggAEdSYiYGE1dAHsvFL69_KifnmUV3mTo2ejmfa8YhORmRldCGiW3onT1zbZKCRFzZiVNGcuR87Z779V5d2DKWL111H3VurNAf3Tr082/s1600/gblueprickleindigo.jpg" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" height="308" width="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhtueW44OPy_ay1XCFXGUvBMWicA0CGWcIzjy0sggAEdSYiYGE1dAHsvFL69_KifnmUV3mTo2ejmfa8YhORmRldCGiW3onT1zbZKCRFzZiVNGcuR87Z779V5d2DKWL111H3VurNAf3Tr082/s400/gblueprickleindigo.jpg" /></a></div>
"<a href="http://www.xenodream.com/meshexgalp6.htm">The object</a> was generated with 7 million triangles, simplified to 1 million for export and rendered with Indigo."sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-90475288318302577602012-11-30T11:15:00.000-08:002012-11-30T11:26:29.885-08:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8stUmhZyhoJGVTlK2I1GhBiWbcVQczoW8Ahxg3yZnQX4hgela0bvN9Fbjsi9gl-eRGmmgxEXRBrNWaEcemvKdOZISec3HgkRbnyYAQBBJ4GUgajkM4GKz65a1k-nlXZWvq59sbjI2RQHG/s1600/mx434.jpg" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" width="500" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8stUmhZyhoJGVTlK2I1GhBiWbcVQczoW8Ahxg3yZnQX4hgela0bvN9Fbjsi9gl-eRGmmgxEXRBrNWaEcemvKdOZISec3HgkRbnyYAQBBJ4GUgajkM4GKz65a1k-nlXZWvq59sbjI2RQHG/s400/mx434.jpg" /></a></div>
"The artist creates the basic idea of the picture (plot, esthetics), basic colours, basic principles of their development. Then a computer works on the picture's individuality, adding more variations and fluctuations of the basic elements and letting them develop with time: the picture living its own life with objects moved and transformed but still following the original artist's concept." <a href="http://moca.virtual.museum/base/base01.htm">Sam Base</a>sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-71058528882379945442012-11-30T11:13:00.003-08:002012-11-30T11:23:41.057-08:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEik6gjMB-YnnYjqNltF51v63MJtuwSE-GrA_d7Ujiyfjlettk6JmR79wmdebH3Iw4h7KSSS0FxWILUKBDJE1PEKLpLrTi_qf13n158p2YOX-nqaz005SYRRX5Xsk73QpfZrZ0MR3P2Y93/s1600/Freudian+Lips.jpg" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" height="320" width="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEik6gjMB-YnnYjqNltF51v63MJtuwSE-GrA_d7Ujiyfjlettk6JmR79wmdebH3Iw4h7KSSS0FxWILUKBDJE1PEKLpLrTi_qf13n158p2YOX-nqaz005SYRRX5Xsk73QpfZrZ0MR3P2Y93/s400/Freudian+Lips.jpg" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDMx8SRDGAYUirn7Su0f3siO08b5BMMYCRMcYgJQufuU3Np4lR4SdHuYyfV4VMqNUi9vhXCkfSm6B83HVTh9nMUZR59ujqIRA1whOnShANBiQpEGr1I2HNhIkJcDzQokguNks-3JIW0Nzc/s1600/Sizzling+Impact.jpg" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" height="320" width="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDMx8SRDGAYUirn7Su0f3siO08b5BMMYCRMcYgJQufuU3Np4lR4SdHuYyfV4VMqNUi9vhXCkfSm6B83HVTh9nMUZR59ujqIRA1whOnShANBiQpEGr1I2HNhIkJcDzQokguNks-3JIW0Nzc/s400/Sizzling+Impact.jpg" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8LECIHDrgFUr4sdpqomn4BeFnw8NVGyXxETFYv23ofJBUU7tXwI-uG3oaI05BtfxWDzzo-9cbdolxzEszNxGCAX6NTE8Igo5k-p_S6ngQsMQGyL9KEbDooCVIrjBz0wvVOE4Rh7ByEuyd/s1600/Dali+Clouds.jpg" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" height="320" width="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8LECIHDrgFUr4sdpqomn4BeFnw8NVGyXxETFYv23ofJBUU7tXwI-uG3oaI05BtfxWDzzo-9cbdolxzEszNxGCAX6NTE8Igo5k-p_S6ngQsMQGyL9KEbDooCVIrjBz0wvVOE4Rh7ByEuyd/s400/Dali+Clouds.jpg" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEheeSED-c4qNG0KL2sMWzRUTPapihzeovtQzm2p3CMtyIHX3LESguv4He7L1s-wGBMSjzGLbZDqIw7G280bFC9KzNCbsMUzOkM__yr2FC9mDovwQ6BLP9Pu93Po-hx0i5Mf0fqu09NUYNf3/s1600/Bloodstream.jpg" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" height="320" width="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEheeSED-c4qNG0KL2sMWzRUTPapihzeovtQzm2p3CMtyIHX3LESguv4He7L1s-wGBMSjzGLbZDqIw7G280bFC9KzNCbsMUzOkM__yr2FC9mDovwQ6BLP9Pu93Po-hx0i5Mf0fqu09NUYNf3/s400/Bloodstream.jpg" /></a></div>
<a href="http://sussna.com/images/cpg132/thumbnails.php?album=36">Michael Sussna</a>'s geometric scenerysylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-89663928369354751332012-10-25T00:52:00.000-07:002012-10-25T00:52:18.681-07:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6zMWN2vyGj4ey5P9YiWYDZYe-8dKBdR8eURxE0dLiWax6JY70mET9iWaMAXWIrJvqFk9Pddab-Th0bT_1gp54CylHPNd6A-b7AgjoVy6OrDUuzMJdr5sICHeAsOdUSWH09JYSRzl2zgo4/s1600/LoxodromeSconce1-large.jpg" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" height="400" width="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6zMWN2vyGj4ey5P9YiWYDZYe-8dKBdR8eURxE0dLiWax6JY70mET9iWaMAXWIrJvqFk9Pddab-Th0bT_1gp54CylHPNd6A-b7AgjoVy6OrDUuzMJdr5sICHeAsOdUSWH09JYSRzl2zgo4/s400/LoxodromeSconce1-large.jpg" /></a></div>
<a href="http://www.bugman123.com/Math/index.html">Paul Nylander</a> creates a double spiral by applying a light projection from the top of a <a href="http://picturesofmath.blogspot.com/2011/02/rhumb-line-or-loxodrome-runs-from-north.html">loxodrome</a> onto a plane. sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-3516959181336544662012-10-25T00:22:00.002-07:002012-10-25T00:27:04.853-07:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkvUJkBNp2UZd90tqbd6K3g8_HzShBt85wMXZyzyCdzZj5ocWXrqprHhQZ1N7wKF0yf58wX6R4YThTs-fGE1Rwt146PGXMnB0aB9VaSgSJ43BOltRDeTgW6FL3zHpofs9Mgy6Joz6GZQZm/s1600/h428.png" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" height="400" width="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkvUJkBNp2UZd90tqbd6K3g8_HzShBt85wMXZyzyCdzZj5ocWXrqprHhQZ1N7wKF0yf58wX6R4YThTs-fGE1Rwt146PGXMnB0aB9VaSgSJ43BOltRDeTgW6FL3zHpofs9Mgy6Joz6GZQZm/s400/h428.png" /></a></div>
"A picture of a 428x428 <a href="http://en.wikipedia.org/wiki/Hadamard_matrix">Hadamard matrix</a>, i.e. a matrix with orthogonal columns and all entries equal to +1 (white pixels) or -1 (black pixels). This example was discovered by <a href="http://homepages.math.uic.edu/~ddumas/teaching/2005/fall/math52/">H. Kharaghani and B. Tayfeh-Rezaie</a> in 2004, and was the first of size 428x428. It is not known if there is a 668x668 Hadamard matrix, though it is conjectured that examples of size 4n x 4n exist for all n." sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-39410425894363632172012-10-25T00:13:00.001-07:002012-10-25T00:34:56.665-07:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiBywbh1_Nh954QUP_87UHN4VeT4WOdVtZehvlwKiIxF5v2stnmPuQrO7exVhLL9PNn3THFm567m48MkMieTCzYmcGgOHxEvu3TciD2KVQATLa63iAddETzSaMXGpjsL7shM7UQLSRZI0r/s1600/Screen+shot+2012-10-25+at+3.15.45+AM.png" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" height="249" width="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiBywbh1_Nh954QUP_87UHN4VeT4WOdVtZehvlwKiIxF5v2stnmPuQrO7exVhLL9PNn3THFm567m48MkMieTCzYmcGgOHxEvu3TciD2KVQATLa63iAddETzSaMXGpjsL7shM7UQLSRZI0r/s400/Screen+shot+2012-10-25+at+3.15.45+AM.png" /></a></div>
<a href="http://fqxi.org/community/articles/display/141">John Baez</a> uses <a href="http://en.wikipedia.org/wiki/Category_theory">Category Theory</a> (an abstraction of what is already very abstract math) to answer important questions in physics.
sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-58106020497924458672012-10-25T00:03:00.000-07:002012-10-25T00:34:13.920-07:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEeTukT_dGGWbcEzl31lCN4-gGXOgakA39p-2KNCMtXDLvHaAgiCvyPS_LKxEcefW6MQYtCp06FZVrqGoalxTZusi1D46i0nLxtDtlO_EmBk8lcosmewptZG2-AZIRH1siyo0ddQv-4irz/s1600/Screen+shot+2012-10-25+at+3.08.12+AM.png" imageanchor="1" style="margin-left:1em; margin-right:1em"><img border="0" height="309" width="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEeTukT_dGGWbcEzl31lCN4-gGXOgakA39p-2KNCMtXDLvHaAgiCvyPS_LKxEcefW6MQYtCp06FZVrqGoalxTZusi1D46i0nLxtDtlO_EmBk8lcosmewptZG2-AZIRH1siyo0ddQv-4irz/s400/Screen+shot+2012-10-25+at+3.08.12+AM.png" /></a></div>
Early computer graphics from 1961-1962 by <a href="http://www.zi.biologie.uni-muenchen.de/~franke/WsFr5Korr.htm">Herbert W. Franke</a>sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0tag:blogger.com,1999:blog-3571250936408482062.post-50831714184091004252012-10-24T23:57:00.001-07:002012-10-25T00:35:44.825-07:00<a href="http://www.creativeapplications.net/mac/embers-by-tda-1-kilobyte-to-rule-them-all/">Embers by TDA</a>
<iframe width="560" height="315" src="http://www.youtube.com/embed/dgDlqC19kss?rel=0" frameborder="0" allowfullscreen></iframe>
"Doing spectacular things with very little code has a long tradition in the <a href="http://en.wikipedia.org/wiki/Demoscene">demoscene</a>. Born out of necessity when home computers were slow and memory space scarce, pushing against artificial boundaries became a popular “sport” when PC hardware power blew up. Time and again we’ve seen demosceners tighten the limits in search of a good challenge and do voodoo with 64 and even 4 kilobytes. At the recent edition of <a href="http://en.wikipedia.org/wiki/File:Assembly2004-areena01.jpg">Assembly</a>, a demoscene main event in Helsinki (Finland) with a 20 year history, this race for minimal footprint has reached a new low: 1 kilobyte (1024 bytes) or less! While technically 1k (and smaller) intros are nothing new, Assembly’s first ever “1 kilobyte intro competition” marks a breakthrough for the category."sylvierhttp://www.blogger.com/profile/15171723126094294915noreply@blogger.com0