Adventures in Stacking


	Adventures in Stacking

Djiezes

12-29-2007 6:12 PM

1128 views

tags:

architecture, science, math, mathematics, stacking, overhang

2 Comments |

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12-30-2007 2:37 AM

Deepti

pop for that last pic....cool!

12-30-2007 2:11 PM

bignosemousie

This is so amazing. I wish I had enough books of similar size to do this myself.

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<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://www.clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/ec5d20f6-9ca3-41da-b3cc-aad9ca9c03e9/194B8E81-825E-4C6B-A262-7C956B522D8E/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html" href="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html" style="font-size: 11px;">bldgblog.blogspot.com</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html"><H3 class="post-title"> 
<A title="permanent link" href="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html">Adventures in Stacking</A>
</H3></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html"><I>New Scientist</I> published an awesome little article this week about nothing more complex than <A target="_blank" href="http://www.newscientist.com/article/mg19626351.800-how-to-create-an-extreme-overhang-with-toy-bricks.html">stacking blocks of wood</A> <SMALL></SMALL></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html"><div align="center"><img src="http://content9.clipmarks.com/blog_cache/bldgblog.blogspot.com/img/D8AA3B6B-70C6-4DAF-BE02-5FD7EB0BFA69" alt="" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html">Computer scientists <A target="_blank" href="http://www.dcs.warwick.ac.uk/people/academic/Mike.Paterson/">Mike Paterson</A> and <A target="_blank" href="http://www.cs.tau.ac.il/~zwick/">Uri Zwick</A> have calculated new shapes and arrangements for the so-called "overhang problem," by which one attempts to stack blocks outward from the edge of a table so that the blocks "overhang" as far as possible</blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html"><div align="center"><img src="http://content6.clipmarks.com/blog_cache/bldgblog.blogspot.com/img/BE54F51E-B580-49D0-B314-43BC840F195D" alt="" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html">In two papers, available as PDFs (<A target="_blank" href="http://arxiv.org/pdf/0707.0093">here</A> and <A target="_blank" href="http://arxiv.org/pdf/0710.2357">here</A>), Paterson and Zwick write about balancing "harmonic stacks," then stabilizing them, through "minute displacements" of space and weight within the stack structure.</blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html"><div align="center"><img src="http://content7.clipmarks.com/blog_cache/bldgblog.blogspot.com/img/F0606691-E1B3-4365-85E6-AC26CCF9AF83" alt="" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html"><DIV>They talk about parabolic stacks and spinal stacks ("A stack is <I>spinal</I> if its support set has just a single block at each level"), and about the spatial structure of brick walls, describing "well-behaved collections of forces that stabilize symmetric and asymmetric brick-wall stacks." </DIV></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html"><div align="center"><img src="http://content8.clipmarks.com/blog_cache/bldgblog.blogspot.com/img/069D0894-272D-4C1D-B50D-FDF3B7B31BBE" alt="" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html">Image: London's P&O Building gets demolished in reverse</blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://bldgblog.blogspot.com/2007/12/adventures-in-stacking.html"><div align="center"><img src="http://content9.clipmarks.com/blog_cache/bldgblog.blogspot.com/img/466217F8-E5EC-4A13-A19B-0AFA70C11BB3" alt="" /></div></blockquote></div><div style="margin: 0px 6px 6px 4px;"><table style="font-size: 11px;border-spacing: 0px;padding: 0px;" cellpadding="0" cellspacing="0" width="100%"><tr><td style="background:transparent;border-width:0px;padding:0px;">&nbsp;</td><td align="right" style="background:transparent;border-width:0px;padding:0px;width:107px" width="107"><a href="http://clipmarks.com/share/194B8E81-825E-4C6B-A262-7C956B522D8E/blog/" title="blog or email this clip"><img src="http://content6.clipmarks.com/images/c2b-foot.png" border="0" alt="blog it" width="107" height="17" style="border-width:0px;padding:0px;margin:0px;" /></a></td></tr></table></div></div>