Math on the Street: Origami Polyhedra Links

<div id="SideBar"> <p align="center"> <a href="http://math.serenevy.net/?page=Home" target="_top"><img src="http://math.serenevy.net/Images/SmallLogo.gif" alt="Math on the Street" border=0 width=166 height=70></a> </p> <p><img src="http://math.serenevy.net/Images/RedDot.gif" alt="" height=8 width=8> <a href="http://math.serenevy.net/?page=About" target="_top">About the Project</a></p> <p><img src="http://math.serenevy.net/Images/RedDot.gif" alt="" height=8 width=8> <a href="http://math.serenevy.net/?page=Acknowledgments" target="_top">Acknowledgments</a></p> <p><img src="http://math.serenevy.net/Images/RedDot.gif" alt="" height=8 width=8> <a href="http://math.serenevy.net/?page=FunMath" target="_top">Fun Math Activities</a> <ul> <li><a href="http://math.serenevy.net/?page=OrigamiHome" target="_top">Origami</a></li> </ul> </p> </div>      <div id="Content"> <h1>Origami</h1> <center><table width="85%"><tr><td width="33%" align="center"><a href="http://math.serenevy.net/?page=OrigamiHome" class="button" target="_top">Polyhedra</a></td><td width="33%" align="center"><a href="http://math.serenevy.net/?page=Origami-Figures" class="button" target="_top">Magic Pinwheel</a></td><td width="33%" align="center"><a href="http://math.serenevy.net/?page=Origami-WhereMath" class="button" target="_top">Where's The Math?</a></td></tr></table><table width="85%"><tr><td width="33%" align="center"><a href="http://math.serenevy.net/?page=Origami-Challenge" class="button" target="_top">Challenge Problems</a></td><td width="33%" align="center"><a href="http://math.serenevy.net/?page=Origami-Handouts" class="button" target="_top">Handouts</a></td><td width="33%" align="center"><a href="http://math.serenevy.net/?page=Origami-Links" class="button" target="_top">Links</a></td></tr></table></center><center><hr width=80% /></center> <br> <h2>Links</h2> <ul> <a href="http://math.serenevy.net/?page=Origami-PolyhedraLinks" target="_top">Instructions for Making Origami Polyhedra</a><br> <a href="http://math.serenevy.net/?page=Origami-OtherFigureLinks" target="_top">Instructions for Making Other Origami Figures</a><br> <a href="http://math.serenevy.net/?page=Origami-ArtLinks" target="_top">Mathematics in Origami</a><br> <a href="http://math.serenevy.net/?page=Origami-TeachingLinks" target="_top">Using Origami to Teach Standard Mathematics Topics</a><br> <a href="http://math.serenevy.net/?page=Origami-MathLinks" target="_top">Origami as a Field of Mathematics</a><br> <a href="http://math.serenevy.net/?page=Origami-ApplicationLinks" target="_top">Applications of Mathematical Origami</a><br> <a href="http://math.serenevy.net/?page=Origami-SonobeHistoryLinks" target="_top">History of the Sonobe Module</a><br> </ul> <br><br><hr width="50%"><br><br> <h3>Instructions for Making Origami Polyhedra</h3> <ul> <li> <a href="http://nuwen.net/poly.html" target="_top"><img class="right" style="margin: 3pt" src="http://math.serenevy.net/Origami/Images/SmallEpcot.jpg" alt="Epcot Ball instructions" width=100 height=97></a> Stephan Lavavej has a nice page with photos showing how to make <a href="http://nuwen.net/poly.html" target="_top">Sonobe modules</a>. His web page also shows how to put the modules together to make a cube, a stellated octahedron, a stellated icosahedron, and a really neat 'Epcot ball' (geodesic dome).<br><br></li> <li> Meenakshi Mukhopadhyay has a beautiful page featuring folding instructions for lots of her own designs and links to others. Most of her instructions are for <a href="http://home.comcast.net/~meenaks/diagrams" target="_top">origami cubes and Sonobe variations</a>, but she also includes a wide range of other models.<br><br></li> <li><a href="http://www.math.lsu.edu/~verrill/" target="_top">Helena Verrill</a> has a wonderful origami page with instructions for making an impressive variety of <a href="http://www.math.lsu.edu/~verrill/origami/" target="_top">polyhedra, tessellations, and quilts</a>. She includes instructions for making a cube dissection puzzle and a colorful model of Pascal's triangle.<br><br></li> <li><a href="http://www.merrimack.edu/~thull/phzig/phzig.html" target="_top">PHiZZ units</a>, invented by <a href="http://www.merrimack.edu/~thull/" target="_top">Tom Hull</a>, are great for constructing a <a href="http://www.merrimack.edu/~thull/combgeom/bucky/buckynotes.html" target="_top">buckyball</a> or a <a href="http://www.merrimack.edu/~thull/combgeom/tori/torusnotes.html" target="_top">torus</a>. Michal Kosmulski has experimented with using PHiZZ units to build a <a href="http://hektor.umcs.lublin.pl/~mikosmul/origami/misc.html" target="_top">Klein bottle</a>.<br><br></li> <li>Jim Plank's page features instructions for constructing a number of polyhedra where each module is an edge of the finished piece. You can learn how to make a neat model with <a href="http://www.cs.utk.edu/~plank/plank/pics/origami/" target="_top">5 interlocking tetrahedra</a>.<br><br></li> <li>Jeannine Mosely has a neat way of making <a href="http://world.std.com/~j9/sponge/cubes.html" target="_top">origami cubes from business cards</a>. These cubes are amazingly simple and can be combined to build any conglomeration of cubes imaginable. Brian shows how to put the cubes together to make a neat <a href="http://origami.kvi.nl/models/units/cardcube.htm" target="_top">puzzle cube</a>. If you learn to make the basic units, you can help Jeannine with her <a href="http://world.std.com/~j9/sponge/" target="_top">Business Card Menger Sponge Project</a> that will ultimately involve 66,048 business cards. <a href="http://www1.zetosa.com.pl/~burczyk/index-en.html" target="_top">Krystyna Burczyk</a> has some <a href="http://www1.zetosa.com.pl/~burczyk/origami/g2-03-en.htm" target="_top">pictures and mathematical facts about the Menger sponge</a> on her origami page.<br><br></li> <li>Rona Gurkewitz, Bennett Arnstein, and Lewis Simon have written several books about origami and polyhedra. These books explain many mathematical ideas involved in the construction of polyhedra. They also show ways to make neat modular and multi-modular origami models. Books include <a href="http://www.amazon.com/Modular-Origami-Polyhedra-Lewis-Simon/dp/0486404765/ref=sr_1_1/102-4753131-9727353?ie=UTF8&s=books&qid=1175354264&sr=1-1" target="_top">Modular Origami Polyhedra</a>, <a href="http://www.amazon.com/3-D-Geometric-Origami-Rona-Gurkewitz/dp/0486288633/ref=sr_1_2/102-4753131-9727353?ie=UTF8&s=books&qid=1175354264&sr=1-2" target="_top">3-D Geometric Origami</a>, and <a href="http://www.amazon.com/Multimodular-Origami-Polyhedra-Archimedeans-Buckyballs/dp/0486423174/ref=sr_1_3/102-4753131-9727353?ie=UTF8&s=books&qid=1175354264&sr=1-3" target="_top">Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality</a>.<br><br></li> <li>There are several pages that show how to weave polyhedra from strips of paper. Paula Versnick has an excellent page describing Heinz Strobl's <a href="http://home.tiscali.nl/gerard.paula/origami/knotology.html" target="_top">Knotology</a> method of making polyhedra. <a href="http://jimvb.home.mindspring.com/polyhedra.htm" target="_top">Jim Blowers</a> has a nice page with instructions for another method of weaving polyhedra, and <a href="http://www.faust.fr.bw.schule.de/mhb/flechten/indexeng.htm" target="_top">H. B. Meyer</a> has a discussion of the mathematical principles involved with this second method.<br><br></li> <li>Krzysiek Tartas has a web page showing a variety of fantastic modular origami structures that he has made. His work includes <a href="http://origami.psikus.pl/index_en.php?kat=3" target="_top">PHiZZ creations</a> and some amazing <a href="http://origami.psikus.pl/index_en.php?kat=2" target="_top">Sonobe polyhedra</a>.<br><br></li> </ul> <div id="BottomBar"> <p /><hr> <img class="left" src="http://math.serenevy.net/Images/BWLogo.gif" alt="Math on the Street!" border=0 width="150" height="57"> <p class="about"> Last Updated: February 2003<br> <a href="http://math.serenevy.net/?page=Home" target="_top">http://math.serenevy.net/</a><br> Amanda Katharine Serenevy<br> <a href="mailto:viajera@bu.edu" target="_top">viajera@bu.edu</a><br> </p> </div> </div>