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The soma cube.

Soma cube - wikipedia, the free encyclopedia

Soma cube. King of a space sliced into cubes, Piet Hein thought of the following curious geometrical theorem. Look at all shapes made of cubes which have a concavity or corner nook in it somewhere. There is only one such shape made of 3 cubes. Note that that shape is "two-dimensional". Turning to four cubes we find that there are 6 essentially different ways to make such a shape. Note that some of these shapes are essentially "three-dimensional". The curious theorem is now that these 7 pieces can be joined to form a cube again. A set of pieces was marketed under the trade name Soma and has been a popular all over the world (eventually). But what am i rambling about... Lets start playing ! The first puzzle is of course to assemble the seven pieces to form a cube. In fact this is one of the most easy Soma-puzzles to solve. I read somewhere that there are 240 essentially different solutions, i.e. not counting rotations and reflections. If you find this hard to do do not dispair since many people, in soma cube
 

Soma cube central

Cluding me, can after a few days playing with Soma solve (some) puzzles in there head. And it's a good and fun way to learn visualizing geometric shapes. After this first puzzle you might want to try some (+ - 60) more difficult 7-piece structures puzzles :Go to the puzzles! By the way, they are all possible to make. Of course there is more to Soma than this. At first most people start with just using the trial-and-error tactic. But it's more satisfying to analyze them. A good strategy to adopt is to try to use the 'most irregular' pieces (the three most right of second picture) first and save the simplest (first picture) until last. But these are more rule of thumb than real 'laws'. Soma constructions lend themselves to fascinating theorems and impossibility proofs of combinatorial geometry. For instance look at the following two figures: Question: Which one can not be built with the Soma-pieces? Of course this question seems to imply that there is exactly one possible to built, which soma cube


soma cube:

soma cube Revice of time should yawn in the solid substance of their distractions soma cube, there is always soma delicious soma...A. Huxley soma cube, Brave New World The Soma cube is not really a cube and it's also not (really) a drug. It's a puzzle like Tangram. You have to rearrange puzzle pieces to form other figures. In fact there are 7 Soma-pieces like Tangram. But unlike Tangram the pieces from the Soma Cube are three-dimensional. The Soma-cube was conceived soma cube, according to Martin Gardner 1 soma cube, by the Danish writer Piet Hein in 1936 during a lecture on quantum physics by Werner Heisenberg (You know from that (un-) certain principle). While Heisenberg was speaking of a space sliced in soma cube.

soma cube To cubes soma cube, Piet Hein thought of the following curious geometrical theorem. Look at all shapes made of cubes which have a concavity or corner nook in it somewhere. There is only one such shape made of 3 cubes. Note that that shape is "two-dimensional". Turning to four cubes we find that there are 6 essentially different ways to make such a shape. Note that some of these shapes are essentially "three-dimensional". The curious theorem is now that these 7 pieces can be joined to form a cube again. A set of pieces was marketed under the trade name Soma and has been a popular all over the world (eventually). But what am i rambling about... Lets start playing ! The first puzzle is of course to assemble the seven pieces to form a cube. In fact this is one of the most easy Soma-puzzles to solve. I read somewhere that there are 240 essentially different solutions soma cube, i.e. not counting rotations and reflections. If you find this hard to do do not dispair since many people soma cube, including me soma cube, can after a few days playing with Soma solve (some) puzzles in there head. And it's a good and fun way to learn visualizing geometric shapes. After this first puzzle you might want to try some (+ - 60) more difficult 7-piece structures puzzles :Go to the puzzles! By the way soma cube, they are all possible to make. Of course there is more to Soma than th.

soma cube Irst puzzle is of course to assemble the seven pieces to form a cube. In fact this is one of the most easy Soma-puzzles to solve. I read somewhere that there are 240 essentially different solutions soma cube, i.e. not counting rotations and reflections. If you find this hard to do do not dispair since many people soma cube, including me soma cube, can after a few days playing with Soma solve (some) puzzles in there head. And it's a good and fun way to learn visualizing geometric shapes. After this first puzzle you might want to try some (+ - 60) more difficult 7-piece structures puzzles :Go to the puzzles! By the way soma cube, they are all possible to make. Of course there is more to Soma than thi.

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soma cube
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Soma cube Gardner, M. The Soma Cube. Ch. Soma Cube. From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram /SomaCube.html

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Soma Cube -- from Wolfram MathWorld
Soma cube Gardner, M. The Soma Cube. Ch. Soma Cube. From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram /SomaCube.html soma cube - wikipedia, the free encyclopedia

Wikipedia: Soma cube
Soma cube The Soma cube is a solid dissection puzzle invented by Piet Hein during a solutions of the Soma-cube puzzle, up to Soma Cube -- from MathWorld the soma cube

Soma Cube Central
Soma cube © 1998-2002 Jon Basden( jbasden@mac ) Modified on Tuesday, April 30, 2002 soma cube -- from wolfram mathworld

Millennium Puzzles - Soma Cube
Soma cube To get started with the Soma Cube puzzle the first challenge for your brain is buying the puzzle and produce your own Soma Cube set by yourself. soma cube central

The Soma Cube Puzzle - 1
Soma cube produced a commercial version of the puzzle known as the Soma Cube. In addition to the cube, Soma enthusiasts have discovered many figures which can thorleif's soma page

Soma Applet
Soma cube Mehta & Ward Alberg explains the soma cube and provides an applet for practice. Source code for Soma.java. Source code for Cube.java. Source code for Catalog.java soma cube

Soma Cube
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Soma Cube Central
Soma cube Soma Cube Construction. A black and white version of this page is also available, ways to form the Soma Cube. of the Soma Cube at the left the soma cube

Soma Cube
Soma cube Soma The soma cube was invented in 1936 by the Danish poet and puzzle the user into a dreamlike state. The Soma Cube never did that for me! the soma cube

The Soma Cube
Soma cube The Soma Cube no Brave New World. The Soma cube is not really a cube and it's also not (really) pieces from the Soma Cube are three-dimensional. cheap soma! genuine soma cube soma online only

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font-weight:normal; } .yschasouthimg .yschasouthchans {padding-left:45px;} #yschanswr2 {margin-top:1em;margin-left:37px;margin-bottom:12px;position:relative;} #yschanswr2 p {margin:0px;} #yschanswr2 p a {font-size:120%;color:#0000FF;} #yschanswr2 img {position:absolute;margin-left:-30px;}#yschsec li a {line-height:1.15em;} .modatfpanels {text-align: left;} .modatfpanels .hd, .modatfpanels .ft {display: none;} .modatfpanels .loading {display: none;} .modatfpanels .loaded {display: inherit;} .modatfpanels .bd {background-image: url('http://us.i1.yimg /us.yimg /i/us/sch/gr2/overlaybg.gif');background-position: bottom left;background-repeat: repeat-x;font-size:100%;} .modatfpanels .bd em {color:#5F228A;font-size: 110%;font-weight: bold;} #yschmodatfpanel001, #yschmodatfpanel002{visibility: hidden;border: 1px solid #BCC8D0;color: #000000;} #yschmodatf .modatfcont{position: absolute;top: -10px;left: 28px;} #yschmodatf .modatfcont div.txtwrp{padding-left: 55px;padding-top: 2px;padding-right: 10px;background-color: #E9E4FF;height: 1.5em;*height: 1.35em;width: 15.5em;position: absolute;top: 10px;left: -10px;color: #7B0099;white-space: nowrap;} #yschmodatf .modatfcont div.txtwrp em{font-size: 110%;font-weight: bold;padding-right:5px;} #modatfbtn {vertical-align: middle;position:absolute;z-index: 100;} #yschmodatf .modatfcont div.txtwrp span{font-size: 85%;}#yschqrw b {font-weight:bold;} #yschqrw {font-size:100% !important;} body { background-color:#FFFFFF; } #yschqcon {width:33em} #yschtg {width:48em;} #yschpg {border:none;padding-bottom:13px;margin-bottom:0px;padding-top:9px;} * html #yschpg {padding-top:4px;} #yschpg a, #yschpg span {padding:3px 7px;margin:0px;border:none;} #yschpg span {font-weight:bold;} #yschpg big span {padding:0px;} #yschpg a.yschnbdr {padding:1px;border:none;margin:0px;font-weight:bold;font-size:110%;} #yschpg a.yschnbdr:hover {padding:0px;border:1px solid #0000dd;margin:0px;font-weight:bold;font-size:110%;} #yschpg a:hover {padding:2px 6px;border:1px solid #0000dd; } #yschprvb a span, #yschnxtb a span {text-decoration:underline;font-size:85%;border:none;} #yschstg a, #yschstg .yschon {float:none;display:inline;} #yschprvb {display:inline;} #yschnxtb {display:inline;} #yschprvb big span {margin-right:1px;padding-right:14px;background: url(http://us.i1.yimg /us.yimg /i/us/search/gr/ar_prev.gif) no-repeat center right;} #yschnxtb big span {margin-left:1px;padding-left:14px;background: url(http://us.i1.yimg /us.yimg /i/us/search/gr/ar_next.gif) no-repeat center left;} #yschinfo p {font-family:arial;font-size:100%;} #yschinfo p span {font-family:verdana;font-size:78%;} #yschpg big a {text-decoration:none;} #yschpg big a b {text-decoration:underline;} #yschiy a:visited.yschttl, #yschiy .yschttl a:visited {color:#639;} #yschsec { z-index:10; background:white;} #yschres {width:auto} body {min-width:0} #yschsec {width: 236px;} #yschsec li {width: 220px; } #yschsec li a, #yschsec li div, #yschsec li em {margin-left: 9px;} #yschpri {margin-left: 261px;} #yschcont {margin-left: -256px;} * html #yschpg {margin-top: -14px;} .yschiy {margin-bottom:7px;} .yschspns {margin-bottom: 12px;} .yschspns li.yschlast {margin-bottom:3px;} .yschspns {margin-top: -15px; margin-bottom: 12px; } .yschspns li {margin-bottom:9px;} #yschsec li a {font-size:120%;}.yschspns li {margin-bottom:13px;}#iycpn {color:#666;} #iycpn em {color:#088000;}#yschiy .yschpdr {color:#666;} #yschpdt p {line-height:1.3em;} .yschiyqt {margin-top: -2px; position:relative; top:3px;}#yschiy q {display:block;} #yschiy p {margin-top:.3em;margin-bottom:-.1em;} #yschiy address {clear:both;margin-top:0;}#yschanswr {margin-top:1em;margin-left:37px;margin-bottom:12px;position:relative;} #yschanswr p {margin:0px;} #yschanswr p a {font-size:120%;color:#0000FF;} #yschanswr img {position:absolute;margin-left:-30px;}#yschsec li a {line-height:1.15em;} #yschqcon {width:38em;}#yschssbx {width:45em;}.yschbta em {font-weight:normal;color:#ff6600;}yschiy {margin-top:0px !important;} #yschiy p {margin-top:0;margin-bottom:.2em;line-height:100%;} #yschinfo {margin-bottom:0px;} #yschres {margin-top:13px;}#yschtools {border:none;font:normal 85% arial;margin-top:-5px;} #yschtools strong a {font-weight:normal;} #yschtools a, #yschmyw a, #yschtools #yschvst a {color:#3F5771 !important;} #yschmyw b {display:none;} #yschans, #yschmyw {float:none;margin-right:12px;text-align:right;} #yschtools strong#yschans a, #yschtools strong#yschmyw a {font-weight:bold !important;} #yschans {margin-right:15px;} #yschinfo {color:#3F5771 !important;border-top:1px solid #C3CCD3;} #yschinfo strong a {font-weight:bold !important;} #yschinfo a {color:#3F5771 !important;} #yschinfo p {font:normal 85% arial;} #yschinfo p span a {color:#3F5771 !important;} #yschinfo h1 {font: bold 105% arial;margin-left:3px;} #yschtools .yschmbkt {visibility:visible;padding:0px 12px; color:#3F5771 !important;} #ygma #ygmalogo {margin-top:1em;} #yschtools div {clear:both;} #yschrel {padding-left:39px;} /**fix for maps iy **/ #iymap {width: 562px;}yschtg a, #yschtg .yschon, #yschstg a, #yschstg .yschon {padding:0 .4em;}.yschiyactr {float:left;} .yschclr {clear:both;} #yschiy .yschmsc {float:left;margin-top:.2em;margin-bottom:.2em; } #yschiy .yschmsc ol {padding-left:27px;margin-bottom:0px;} #yschpg {border:none;padding-bottom:13px;margin-bottom:0px;padding-top:9px;} * html #yschpg {padding-top:4px;} #yschpg a, #yschpg span {padding:3px 7px;margin:0px;border:none;} #yschpg span {font-weight:bold;} #yschpg big span {padding:0px;} #yschpg a.yschnbdr {padding:1px;border:none;margin:0px;font-weight:bold;font-size:110%;} #yschpg a.yschnbdr:hover {padding:0px;border:1px solid #0000dd;margin:0px;font-weight:bold;font-size:110%;} #yschpg a:hover {padding:2px 6px;border:1px solid #0000dd; } #yschssbx {width:auto;clear:both;position:relative;text-align:center;padding-top:8px;padding-bottom:9px;padding-left:10px;padding-right:10px;margin-top:8px;background:#ecf5fa;border-bottom:1px solid #AEC7DE;min-width:38em;} #yschssbx div#yschstg, div#yschstg {width:38em;margin:0px auto;text-align:center;} #yschssbx div.yschoptions {background:#ecf5fa;margin-left:auto;margin-right:auto;padding-left:1em;} p.yschftad {margin:0px;margin-bottom:8px;padding-top:0px;padding-bottom:8px;} * html p.yschftad {margin:0px;} p.yschftad img {vertical-align:middle;margin-right:-5px;} #cc {display:none;} #yschft {color:#48555E;} #yschft a {color:#48555E;} #yschprvb a span, #yschnxtb a span {text-decoration:underline;font-size:85%;border:none;} #yschstg a, #yschstg .yschon {float:none;display:inline;} #yschprvb {display:inline;} #yschnxtb {display:inline;} #yschprvb big span {margin-right:1px;padding-right:14px;background: url(http://us.i1.yimg /us.yimg /i/us/search/gr/ar_prev.gif) no-repeat center right;} #yschnxtb big span {margin-left:1px;padding-left:14px;background: url(http://us.i1.yimg /us.yimg /i/us/search/gr/ar_next.gif) no-repeat center left;} .yschccfeedback {clear:both;} #yschsp {width:28em;} #yschtg {left:0px;padding-left:2.5em;} #yschmoretab {float:left;display:inline;} #yschmoretab dl {position:relative;z-index:100;float:left;padding:0;margin:0;background-color:white;zoom:1;} #yschmoretab dt {padding:1px 0;} #vslist {position:absolute;top:0px;left:0px;display:none;background:#889AA7;z-index:100;margin-left:0px;margin-top:1.4em;} #vslist {background:#eee;border:1px solid #889AA7;font:arial;width:11em;} #vslist div {position:relative;margin:-3px -0px -0px -1px;background:#fff;border:1px solid #889AA7;padding:5px 2px;width:100%;height:100%;} #vslist span {position:relative;display:block;margin:8px 4px 5px;border-top:1px solid #889AA7;font-size:1px;height:1px;line-height:1px;} #vslist a {position:relative;display:block;padding:2px 4px;text-decoration:none;border-left:none;float:none;background-color:white;} #vslist a:hover {background:#889AA7;color:#fff;text-decoration:none;} #vsearchm dt a.on{background-position:100% -99px;_background-position:97% -99px;} #yschmoretab dt a {position:relative;font:arial;border-left:1px solid #B0BEC7;text-transform:lowercase;display:block;top:-1px;background:url(http://us.i1.yimg /us.yimg /i/ww/sp/dropdown.gif) no-repeat 100% 0;color:#0000DE;text-decoration:underline;position:relative;padding:0px 18px 0px 5px;} #vsearchm dt a:hover, #vsearchm dt a.on{border:1px solid #B0BEc7;text-decoration:none;background:url(http://us.i1.yimg /us.yimg /i/ww/sp/dropdown.gif) no-repeat 100% 0;background-position:100% -49px;_background-position:97% -48px;margin:-1px 0 -1px 0;} #vsearchm dt a.on, #vsearchm dt a.on:hover{background-position:100% -99px;_background-position:97% -98px;text-indent:0;} .yschhd {z-index:1;} #vslist ul, #vslist li {position:relative;list-style-type:none;padding:0;background-color:white;margin:0;} #vslist li {background-color:white;border-bottom:1px solid white;z-index:150;zoom:1;} #vsearchm {zoom:1;} .yschhd {position: static;} Yahoo!   My Yahoo!   Mail     Welcome, Guest [Sign In]   soma cube from strips

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