tag:blogger.com,1999:blog-7691251033406320222.post4429890124022832854..comments2024-03-26T04:19:38.862-07:00Comments on kitchen table math, the sequel: 5OSME: 5th international conference on origami in science, mathematics and educationCatherine Johnsonhttp://www.blogger.com/profile/03347093496361370174noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-7691251033406320222.post-20789337885799134502009-10-09T19:59:37.446-07:002009-10-09T19:59:37.446-07:00Google "card models" and you will bring ...Google "card models" and you will bring up a world of people who make complex scale models out of card stock (stiff paper). This technique goes back hundreds of years.<br /><br /><br />What I'm talking about are shapes shown in the following paper from 4OSME.<br /><br />"Building Free-Form Structures From Sheet Material"<br /><br /><br />I write CAD software that can be used (one part of which) to create curved surfaces which are unwrapped into flat patterns that can be CNC cut out. Most of these are large scale structures that include framing. The frames are cut out and the unwrapped plates are marked with the locations for the frames. Everything is CNC cut out of aluminum, steel, or plywood. <br /><br />If a surface has double curvature, you can subdivide the surface until you able to flatten it without too much stretch for the material. All curved surfaces can be made from flat material if you subdivide the surface enough or if the material can be stretched. (A little stretch goes a long way.) Some people build curved structures out of plywood and they call this "tortured" plywood construction. The big question is how much stretch is allowed before the shape becomes unbuildable or the material fails.<br /><br />I have some pictures, but I can't insert them here. One is a sculpture that was designed and built in Alaska - Anchorage, I think, but I can't find a picture of it online. <br /><br />Another interesting project I worked on was a half-dome in a cathedral that needed to be painted. Instead of painting the dome, the artist created a small picture that was transformed to the shape of the dome. The dome wasn't perfect, so exact measurements had to taken. I had to recreate the almost dome shape on the computer, divide it into 15 degree wedge sections and unwrap it flat. The digitized picture was mapped to those pieces and plotted (using pigment-based inks) on artist canvas. (Giclee printing). These pieces were then glued to the dome. The big unknown was whether the mapping of the 2D artist picture to the 3D dome model or the unwrapping of the doubly-curved wedge shapes would cause enough distortion to be visible.<br /><br />This is the finished dome.<br /><br />http://photos.churchofstanthonys.org/GalleryFilmstrip.aspx?gallery=152039&photo=5143338<br /><br />Constructing 3D shapes from 2D patterns covers many different fields. Unfortunately, too many people are rediscovering the wheel.SteveHhttps://www.blogger.com/profile/03956560674752399562noreply@blogger.comtag:blogger.com,1999:blog-7691251033406320222.post-63868731954983425112009-10-09T08:54:49.580-07:002009-10-09T08:54:49.580-07:00SteveH,
Re < Is origami limited to constructio...SteveH,<br /><br />Re < Is origami limited to construction from one sheet of paper?<br /><br />No, there is modular origami made from several to many sheets of paper, which then are combined to make a model. <br /><br />Re < I've been inolved with developable and expandable curved surfaces for many years, but nobody makes any links to origami.<br /><br />Do you have photos I can see of what you have developed?<br /><br />Re < Are card models considered to be something else? <br /><br />I'm not sure what you mean by card models, but in fact, I am working on a potential cross school building project as part of 5OSME, using business cards. in a later message I will post some links to projects spearheaded by Jeannine Moseley, who built Menger's sponge and a business card model of Union Station in Worcester, MA.<br /><br />Please see http://www.langorigami.com/science/4osme/program.php4 for papers presented at 4OSME.<br /><br />More later.<br /><br />Thanks.<br /><br />PatsyPatsy Wang-Iversonhttps://www.blogger.com/profile/01640535069016255102noreply@blogger.comtag:blogger.com,1999:blog-7691251033406320222.post-31955028642706423912009-10-08T15:47:04.351-07:002009-10-08T15:47:04.351-07:00Hi Patsy!
Thanks!Hi Patsy!<br /><br />Thanks!Catherine Johnsonhttps://www.blogger.com/profile/03347093496361370174noreply@blogger.comtag:blogger.com,1999:blog-7691251033406320222.post-83587450868579618532009-10-08T11:33:44.123-07:002009-10-08T11:33:44.123-07:00Is origami limited to construction from one sheet ...Is origami limited to construction from one sheet of paper? Are card models considered to be something else? I've been inolved with developable and expandable curved surfaces for many years, but nobody makes any links to origami. Do you consider Gehry's Bilbao Guggenheim museum origami?SteveHhttps://www.blogger.com/profile/03956560674752399562noreply@blogger.com