{"id":331,"date":"2020-11-15T19:35:42","date_gmt":"2020-11-15T18:35:42","guid":{"rendered":"http:\/\/papirfoldning.dk\/blog\/?p=331"},"modified":"2020-11-16T14:14:19","modified_gmt":"2020-11-16T13:14:19","slug":"an-angel-becomes-10000","status":"publish","type":"post","link":"https:\/\/papirfoldning.dk\/blog\/?p=331&lang=en","title":{"rendered":"An Angel becomes 10,000"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">It is not every day your origami design is folded 10,000 times by others, but that happened to my angel this summer.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The Ripon Cathedral runs the campaign <em>A Wing and a Prayer<\/em> with an installation of 10,000 angels praying under the COVID-19 pandemic. 100 volunteers and 300 children aged 3-90 years helped realise the dream, and the <a href=\"https:\/\/www.riponcathedral.org.uk\/wing-and-prayer\/#\">campaign helps funding the Yorkshire Air Ambulance<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The installation is open through 31. January 2021 and the Ripon Cathedral in Northern England, 40 km northwest of York, is certainly worth a visit. Travelling is currently difficult, but you may view videos and images from the installation.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/origamiexpressions.com\">Russel Wood<\/a> describes the <a href=\"https:\/\/origamiexpressions.com\/origami-angels-at-ripon-cathedral\">installation in more detail<\/a> with links to the diagram they used, in cooperation with Reverend Nicholas Mercer and campaign leader Margaret Hammond from the Ripon Cathedral.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This photo by Russel Wood (\u00a9&#xfe0f; 2020) shows the church room where the angels are draped in waves 15 meter above the floor.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>(The article continues below the image)<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"577\" height=\"1024\" src=\"http:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/5F8EEA1E-0446-46A0-8569-C7D8F0309C56-577x1024.jpeg\" alt=\"\" class=\"wp-image-336\" srcset=\"https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/5F8EEA1E-0446-46A0-8569-C7D8F0309C56-577x1024.jpeg 577w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/5F8EEA1E-0446-46A0-8569-C7D8F0309C56-169x300.jpeg 169w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/5F8EEA1E-0446-46A0-8569-C7D8F0309C56-768x1364.jpeg 768w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/5F8EEA1E-0446-46A0-8569-C7D8F0309C56-865x1536.jpeg 865w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/5F8EEA1E-0446-46A0-8569-C7D8F0309C56-300x533.jpeg 300w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/5F8EEA1E-0446-46A0-8569-C7D8F0309C56-850x1510.jpeg 850w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/5F8EEA1E-0446-46A0-8569-C7D8F0309C56.jpeg 1153w\" sizes=\"auto, (max-width: 577px) 100vw, 577px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Thoughts behind the angel<\/h2>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"alignright size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-1024x960.jpeg\" alt=\"\" class=\"wp-image-322\" width=\"285\" height=\"266\" srcset=\"https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-1024x960.jpeg 1024w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-300x281.jpeg 300w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-768x720.jpeg 768w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-1536x1440.jpeg 1536w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-850x797.jpeg 850w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F.jpeg 1896w\" sizes=\"auto, (max-width: 285px) 100vw, 285px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">In 2008 I was asked by <a href=\"http:\/\/pechakucha.dk\">Pecha Cucha Copenhagen<\/a> if I would give a Christmas themed talk, preferably including the audience actively. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pecha Cucha is a format where you have 20 x 20 seconds to present a topic.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So I designed this angel. The rigid design criteria: 20 steps, 7 minutes, a large audience with little prior experience in origami; led to a simple model with a pure and clean design: Wings, dress, and head with a halo.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">I created <a href=\"https:\/\/papirfoldning.dk\/da\/pechakucha\/img0.html\">instructions<\/a> as a slide show with a front page and 20 pages each with one step. Each page had a title, a gif continuously displaying how to perform the fold, a diagram step, and a drawing of the result of the step.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">And thus on the 3. of December 2008 I faced 400 people in St\u00e6rekassen, one of the scenes of the Danish Royal Theatre.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"607\" src=\"http:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/6C41B321-E8BA-4C0C-B071-9D634ECF2762-1024x607.jpeg\" alt=\"\" class=\"wp-image-318\" srcset=\"https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/6C41B321-E8BA-4C0C-B071-9D634ECF2762-1024x607.jpeg 1024w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/6C41B321-E8BA-4C0C-B071-9D634ECF2762-300x178.jpeg 300w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/6C41B321-E8BA-4C0C-B071-9D634ECF2762-768x456.jpeg 768w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/6C41B321-E8BA-4C0C-B071-9D634ECF2762-850x504.jpeg 850w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/6C41B321-E8BA-4C0C-B071-9D634ECF2762.jpeg 1482w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Slide from the Danish talk at Pecha Cucha by the author, 2008<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">More variations<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The <a href=\"https:\/\/papirfoldning.dk\/images\/pechakucha\/engel.pdf\">original model<\/a> had a real neck which looked better from the front. Later I made a cleaner version where the neck was marked only, or even left out (see pattern and instructions below). The <a href=\"https:\/\/www.riponcathedral.org.uk\/wp-content\/uploads\/Template.pdf\">Ripon Cathedral&#8217;s instructions<\/a> also omits the neck, but folds the flaps on the back orthogonally instead of slanted, which is a bit simpler but changes the halo shape making it more squarish.<\/p>\n\n\n\n<figure class=\"wp-block-gallery columns-3 is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\"><ul class=\"blocks-gallery-grid\"><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"450\" src=\"http:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/63F5B54B-3083-48F2-A7FB-64B23D1909C5.png\" alt=\"\" data-id=\"339\" data-full-url=\"http:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/63F5B54B-3083-48F2-A7FB-64B23D1909C5.png\" data-link=\"http:\/\/papirfoldning.dk\/blog\/?attachment_id=339\" class=\"wp-image-339\" srcset=\"https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/63F5B54B-3083-48F2-A7FB-64B23D1909C5.png 600w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/63F5B54B-3083-48F2-A7FB-64B23D1909C5-300x225.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"960\" src=\"http:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-1024x960.jpeg\" alt=\"\" data-id=\"322\" data-full-url=\"http:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F.jpeg\" data-link=\"http:\/\/papirfoldning.dk\/blog\/?attachment_id=322\" class=\"wp-image-322\" srcset=\"https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-1024x960.jpeg 1024w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-300x281.jpeg 300w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-768x720.jpeg 768w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-1536x1440.jpeg 1536w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F-850x797.jpeg 850w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/97363051-B62B-4B91-9A48-387939A95F0F.jpeg 1896w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"577\" src=\"http:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/7C0E0845-6EBF-4041-BA9F-0674A63D3D37-1024x577.jpeg\" alt=\"\" data-id=\"340\" data-full-url=\"http:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/7C0E0845-6EBF-4041-BA9F-0674A63D3D37.jpeg\" data-link=\"http:\/\/papirfoldning.dk\/blog\/?attachment_id=340\" class=\"wp-image-340\" srcset=\"https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/7C0E0845-6EBF-4041-BA9F-0674A63D3D37-1024x577.jpeg 1024w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/7C0E0845-6EBF-4041-BA9F-0674A63D3D37-300x169.jpeg 300w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/7C0E0845-6EBF-4041-BA9F-0674A63D3D37-768x433.jpeg 768w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/7C0E0845-6EBF-4041-BA9F-0674A63D3D37-1536x866.jpeg 1536w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/7C0E0845-6EBF-4041-BA9F-0674A63D3D37-850x479.jpeg 850w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/7C0E0845-6EBF-4041-BA9F-0674A63D3D37.jpeg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><\/ul><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Crease patterns<\/h2>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"alignright size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/631ADE32-34DD-44E1-BD96-6871B36E2686-1024x996.jpeg\" alt=\"\" class=\"wp-image-338\" width=\"322\" height=\"313\" srcset=\"https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/631ADE32-34DD-44E1-BD96-6871B36E2686-1024x996.jpeg 1024w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/631ADE32-34DD-44E1-BD96-6871B36E2686-300x292.jpeg 300w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/631ADE32-34DD-44E1-BD96-6871B36E2686-768x747.jpeg 768w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/631ADE32-34DD-44E1-BD96-6871B36E2686-1536x1495.jpeg 1536w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/631ADE32-34DD-44E1-BD96-6871B36E2686-2048x1993.jpeg 2048w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/631ADE32-34DD-44E1-BD96-6871B36E2686-850x827.jpeg 850w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/631ADE32-34DD-44E1-BD96-6871B36E2686-45x45.jpeg 45w\" sizes=\"auto, (max-width: 322px) 100vw, 322px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Fold an origami model and unfold, then the crease lines emerge. Together they form the <em>Crease Pattern<\/em> or just CP.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Most lines will be part of the final model as 180 degree valley or mountain folds.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Some, like the vertical line in the back, has no function but is an artefact of the folding sequence.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">And some, like those in the neck, have a visual function but are not flat.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Finally, the curves like those of the wings. They are not part of the crease pattern even if <em>i.a.<\/em> Andrew Hudson has suggested <a href=\"https:\/\/origamiusa.org\/thefold\/article\/diagramming-curves-and-crease-patterns\">how curvatures might be diagrammed<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">The two colour theorem<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The two colour theorem states that the crease pattern of flat-foldable models can be coloured using at most two colours.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A consequence of the theorem is that if you re-fold a coloured crease pattern, one colour ends up on one side of the folded piece, and the other colour on the other side.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">That is a variation of the <a href=\"https:\/\/en.wikipedia.org\/wiki\/Four_color_theorem\">four colour theorem <\/a>that states that maps of contiguous countries can be coloured using at most 4 colours. The flat-foldability condition applied to crease patterns ensures that 2 colours suffice.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The neckline of the angel is not really a fold, but a marking. If you avoid that and the vertical line in the back, then the angel has a flat-foldable crease pattern.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">That is illustrated in the crease patterns below where the areas have been coloured rather than the crease lines themselves.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Print them, cut out the two squares, and fold them.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">One pattern provides an angel white in the front and black on the back, and the other pattern provides the reverse colouring.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">You might consider the theological implications of black and white angels.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"724\" height=\"1024\" src=\"http:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/engel_bw_en-724x1024.png\" alt=\"\" class=\"wp-image-341\" srcset=\"https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/engel_bw_en-724x1024.png 724w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/engel_bw_en-212x300.png 212w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/engel_bw_en-768x1087.png 768w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/engel_bw_en-1085x1536.png 1085w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/engel_bw_en-1447x2048.png 1447w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/engel_bw_en-300x425.png 300w, https:\/\/papirfoldning.dk\/blog\/wp-content\/uploads\/2020\/11\/engel_bw_en-850x1203.png 850w\" sizes=\"auto, (max-width: 724px) 100vw, 724px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>It is not every day your origami design is folded 10,000 times by others, but that happened to my angel this summer. The Ripon Cathedral runs the campaign A Wing and a Prayer with an installation of 10,000 angels praying under the COVID-19 pandemic. 100 volunteers and 300 children aged 3-90 years helped realise the&#8230;<\/p>\n","protected":false},"author":1,"featured_media":315,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[77,25],"tags":[],"class_list":["post-331","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-culture","category-diagrams"],"_links":{"self":[{"href":"https:\/\/papirfoldning.dk\/blog\/index.php?rest_route=\/wp\/v2\/posts\/331","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/papirfoldning.dk\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/papirfoldning.dk\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/papirfoldning.dk\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/papirfoldning.dk\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=331"}],"version-history":[{"count":0,"href":"https:\/\/papirfoldning.dk\/blog\/index.php?rest_route=\/wp\/v2\/posts\/331\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/papirfoldning.dk\/blog\/index.php?rest_route=\/wp\/v2\/media\/315"}],"wp:attachment":[{"href":"https:\/\/papirfoldning.dk\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=331"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papirfoldning.dk\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=331"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papirfoldning.dk\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}