I started answering a question on the SCA-Card-Weaving email list, but the answer quickly got too complicated for easy emailing, and I thought it might be interesting to others as well.<\/p>\n
The question: “Is flipping a card on its vertical axis really the same as reversing the direction? That is, instead of FF -flip- FF can I turn FFBB? Will it work if there are three colors so the card isn’t symmetrical?”<\/p>\n
The answer: sure!<\/p>\n
Let’s invoke ASCII art:<\/p>\n
Say you have a card threaded with three colors: A, B and C. Let’s say that it is Z-threaded, so that when you turn it forward the diagonal *in the band* is S-ways. <\/p>\n
\r\nband A B warp\r\n C A \r\n<\/pre>\nOkay? <\/p>\n
So then if you turn the card forward, the thread that crosses the top<\/i> is the one that shows. So after the first turn forward an A thread will show in the band, and it will be at an S angle in the band. Second one will be C.<\/p>\n
\r\n A C C A B\r\n S S Z Z Z\r\nA B -F- C A -F- A C -B- C A -B- A B -B- B A\r\nC A A B B A A B C A A C\r\n<\/pre>\nIf you turn the card FFBBB then it will be ACCAB at SS then ZZZ angle (see how the colors are symmetrical where the reversal happens?)<\/p>\n
But what if you flip the card on its vertical axis instead? <\/p>\n
\r\n A C C A B\r\n S S Z Z Z\r\nA B -F- C A -F- A C -FLIP- C A -F- A C -F- B A -F- A B\r\nC A A B B A | A B B A A C C A\r\n<\/pre>\nLovely: ACCAB at SSZZZ angles in the band. Your results should look identical with either method.<\/p>\n
This brief overview of threading<\/a> might be helpful, as might this longer talk on TW theory<\/a>. <\/p>\n","protected":false},"excerpt":{"rendered":"
I started answering a question on the SCA-Card-Weaving email list, but the answer quickly got too complicated for easy emailing, and I thought it might be interesting to others as well. The question: “Is flipping a card on its vertical axis really the same as reversing the direction? That is, instead of FF -flip- FF […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"footnotes":""},"categories":[],"tags":[],"class_list":["post-726","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.stringpage.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/726","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.stringpage.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.stringpage.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.stringpage.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.stringpage.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=726"}],"version-history":[{"count":0,"href":"https:\/\/www.stringpage.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/726\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.stringpage.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=726"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.stringpage.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=726"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.stringpage.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=726"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}