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{"id":801,"date":"2023-06-05T10:44:47","date_gmt":"2023-06-05T10:44:47","guid":{"rendered":"https:\/\/www.foldworks.net\/?p=801"},"modified":"2023-06-29T11:10:14","modified_gmt":"2023-06-29T11:10:14","slug":"geometry-weekend-2023","status":"publish","type":"post","link":"https:\/\/www.foldworks.net\/geometry-weekend-2023\/","title":{"rendered":"Geometry Weekend 2023"},"content":{"rendered":"

Introduction<\/h2>\n
A good overview of the origins of modular origami is at The Public Paperfolding History Project: Modular Origami: http:\/\/www.origamiheaven.com\/historyofmodularorigami.htm <\/a><\/p>\n
The same site also has the Modular Origami Design Encyclopaedia<\/a>.<\/p>\n

Origami to make<\/h2>\n
Here is a selection of modular origami to make. How could you develop your own ideas from these?<\/p>\n
Curler Unit<\/em> by Herman Van Goubergen<\/p>\n
$\"Curler$ <\/a>
Curler Unit Cuboctahedron by Herman Van Goubergen, folded by Tung Ken Lam<\/figcaption><\/figure>\n
https:\/\/www.britishorigami.org\/cp-resource\/curler-units\/<\/a><\/p>\n
Dodecahedron (Penultimate Unit)<\/em> by Robert Neale
\nhttps:\/\/web.eecs.utk.edu\/~jplank\/plank\/origami\/penultimate\/pentagon.html<\/a><\/p>\n
Meditations on a Waterbomb<\/em> (1977) contains classic modular origami by Kenneth Kawamura and Joe Power:
\nhttp:\/\/www.origamiheaven.com\/pdfs\/meditations.pdf<\/a><\/p>\n
Five Intersecting Tetrahedra<\/em> by Tom Hull and Francis Ow
\nhttp:\/\/origametry.net\/fit.html<\/a><\/p>\n
The website<\/a> of the late Francis Ow has many diagrams of his excellent work, including his 120 degree unit<\/a>.<\/p>\n
Waterbomb Corrugation<\/em>: start with the simple two by two version<\/a> and then try doubling the frequency for the harder four by four version. <\/a>A video tutorial may help:<\/p>\n
<\/iframe><\/p>\nWhen creasing large paper or a large number of squares, you can score the crosses with a ruler and a tool like a ballpoint pen that has run out of ink. <iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/5WM0E3ZnTUg\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<h2>Books and resources to read<\/h2>\nAs well as my own origami <a href=\"https:\/\/www.foldworks.net\/home\/publications-and-commissions\/\">books<\/a>, including Origami from Surface to Form <\/em> <a href=\"https:\/\/woodenbooks.com\/index.php#!ORI\">(read online in full at Wooden Books)<\/a>, here are some others that are well worth reading:<\/p>\nDavid Brill. Brilliant Origami: A Collection of Original Design. <\/em>Japan Publications, 1996.<\/p>\nKunihiko Kasahara and Toshie Takahama. Origami for the Connoisseur.<\/em> Japan Publications, 1988.<\/p>\nKunihiko Kasahara. Origami Omnibus: Paper-Folding for Everybody. <\/em>Japan Publications, 1988.<\/p>\nJun Maekawa. The Art & Science of Geometric Origami: Create Spectacular Paper Polyhedra, Waves, Spirals, Fractals and More!<\/em> Tuttle Publishing, 2022.<\/p>\nDavid Mitchell. Mathematical Origami: Geometrical Shapes by Paper Folding,<\/em> Second edition. Tarquin Publications, 2020.<\/p>\nDavid Petty. Planar Modular Origami. <\/em>British Origami Society, 2013. <a href=\"https:\/\/www.colortreelimited.co.uk\/product\/65-planar-modular-origami-david-petty\/\">https:\/\/www.colortreelimited.co.uk\/product\/65-planar-modular-origami-david-petty\/<\/a><\/p>\nThese three non-origami books are good sources of inspiration and reference data for polyhedra:<\/p>\nPeter Cromwell. Shapes in Space: Convex Polyhedra with Regular Faces<\/em>. Association of Teachers of Mathematics. 2004.<\/p>\nH.M. Cundy and A.P. Rollett. Mathematical Models<\/em>. 3rd edition. Tarquin Publications, 1981.<\/p>\nAmy C. Edmondson. A Fuller explanation: the synergetic geometry of R. Buckminster Fuller.<\/em> Birkh\u00e4user (Design science collection), 1987.<\/p>\n<a href=\"http:\/\/foldworks.net\/wp-content\/uploads\/2023\/06\/Icosahedron-and-Dodecahedron-in-Three-Five-or-Six-Colours.pdf\">This resource<\/a> can help if you want to colour the edges of an icosahedron or a dodecahedron so that the same colour does not meet at a vertex (except for the icosahedron in three colours where the same colour does meet at vertex, but not on the same face).<\/p>\n<figure id=\"attachment_832\" aria-describedby=\"caption-attachment-832\" style=\"width: 220px\" class=\"wp-caption alignnone\"><a href=\"https:\/\/i0.wp.com\/foldworks.net\/wp-content\/uploads\/2023\/06\/Icosahedron-and-Dodecahedron-in-Three-Five-or-Six-Colours.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-832\" src=\"https:\/\/i0.wp.com\/foldworks.net\/wp-content\/uploads\/2023\/06\/Icosahedron-and-Dodecahedron-in-Three-Five-or-Six-Colours.jpg?resize=220%2C300\" alt=\"\" width=\"220\" height=\"300\" data-recalc-dims=\"1\" \/><\/a><figcaption id=\"caption-attachment-832\" class=\"wp-caption-text\">How to colour the edges of an icosahedron or dodecahedron in three, five or six colours<\/figcaption><\/figure>\n<h2>Software to use<\/h2>\nDynamic geometry software <a href=\"https:\/\/www.geogebra.org\">Geogebra<\/a> is free to use and allows you do geometry (2D and 3D) in a empirical way. Use and experiment some of <a href=\"https:\/\/www.geogebra.org\/u\/tung+ken+lam\">my Geogebra resources<\/a>.<\/p>\nPlay the computer game Elite at <a href=\"https:\/\/archive.org\/details\/Elite_1985_Firebird_Software_ZX_Spectrum\">https:\/\/archive.org\/details\/Elite_1985_Firebird_Software_ZX_Spectrum<\/a> \n(quick start: press 1 to launch; space\/right shift to +\/- velocity; cursor keys or S\/X\/N\/M to climb\/dive\/roll)<\/p>\n<h2>Films to watch<\/h2>\nThese are some relevant films:<\/p>\nPLAITED POLYHEDRA (1960) Three-dimensional geometric paper shapes made without using glue by Robert Pargeter <a href=\"https:\/\/www.britishpathe.com\/asset\/36828\/\">https:\/\/www.britishpathe.com\/asset\/36828\/<\/a><\/p>\nThe Ron Resch Paper & Stick Film <a href=\"http:\/\/www.ronresch.org\/ronresch\/gallery\/paper-and-stick-film\/\">http:\/\/www.ronresch.org\/ronresch\/gallery\/paper-and-stick-film\/\u00a0<\/a><\/p>\nNOVA \u201cThe Origami Revolution.\u201d <a href=\"https:\/\/archive.org\/details\/TheOrigamiRevolution\">https:\/\/archive.org\/details\/TheOrigamiRevolution<\/a> \n<iframe loading=\"lazy\" src=\"https:\/\/archive.org\/embed\/TheOrigamiRevolution\" width=\"640\" height=\"480\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n <\/p>\n","protected":false},"excerpt":{"rendered":"Introduction A good overview of the origins of modular origami is at The Public Paperfolding History Project: Modular Origami: http:\/\/www.origamiheaven.com\/historyofmodularorigami.htm The same site also has the Modular Origami Design Encyclopaedia. Origami to make Here is a selection of modular origami to make. How could you develop your own ideas from these? Curler Unit by Herman […]<\/p>\n","protected":false},"author":2,"featured_media":806,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/foldworks.net\/wp-content\/uploads\/2023\/05\/Curler-Unit-Cuboctahedron-by-Herman-Van-Goubergen.jpg?fit=952%2C952&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p9nCEd-cV","_links":{"self":[{"href":"https:\/\/www.foldworks.net\/wp-json\/wp\/v2\/posts\/801"}],"collection":[{"href":"https:\/\/www.foldworks.net\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.foldworks.net\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.foldworks.net\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.foldworks.net\/wp-json\/wp\/v2\/comments?post=801"}],"version-history":[{"count":36,"href":"https:\/\/www.foldworks.net\/wp-json\/wp\/v2\/posts\/801\/revisions"}],"predecessor-version":[{"id":854,"href":"https:\/\/www.foldworks.net\/wp-json\/wp\/v2\/posts\/801\/revisions\/854"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.foldworks.net\/wp-json\/wp\/v2\/media\/806"}],"wp:attachment":[{"href":"https:\/\/www.foldworks.net\/wp-json\/wp\/v2\/media?parent=801"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.foldworks.net\/wp-json\/wp\/v2\/categories?post=801"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.foldworks.net\/wp-json\/wp\/v2\/tags?post=801"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

Introduction<\/h2>\nA good overview of the origins of modular origami is at The Public Paperfolding History Project: Modular Origami: http:\/\/www.origamiheaven.com\/historyofmodularorigami.htm <\/a><\/p>\nThe same site also has the Modular Origami Design Encyclopaedia<\/a>.<\/p>\n

Introduction<\/h2>\n
A good overview of the origins of modular origami is at The Public Paperfolding History Project: Modular Origami: http:\/\/www.origamiheaven.com\/historyofmodularorigami.htm <\/a><\/p>\n
The same site also has the Modular Origami Design Encyclopaedia<\/a>.<\/p>\n