![](\"http:\/\/blog.kenperlin.com\/wp-content\/uploads\/2013\/04\/trey1.png\")
<\/center><\/p>\n“This represents what we call a cube,” he says. “It’s like a square, only deeper. The fat red lines are edges that are `nearer’ in the third dimension, while the skinny blue lines are edges that are `farther'”.<\/p>\n
“What are the dark diamond shapes in the corners?” Ariel asks.<\/p>\n
“Ah, those are edges that go from `near’ to `far’. In my world they are exactly the same as the red edges or the blue edges. People in your world can’t them length-wise, because they extend in that extra dimension that doesn’t exist in your world.”<\/p>\n
“Wow!” Ariel says, “I totally get this. And what about the second image I showed Lennie — the diamond shape. In your world, is that just a rotated cube?”<\/p>\n
“That’s where it gets weird,” Trey says. “In three dimensions that’s another shape entirely. We call it an octahedron.”<\/p>\n
Ariel is fascinated. “Can you show me what an octahedron would look like to me, using this drawing system?”<\/p>\n
“Hmm,” Trey says, “let me work on that tonight.”<\/p>\n","protected":false},"excerpt":{"rendered":"
After studying Ariel’s excellent design ideas, Trey shows her the following image: “This represents what we call a cube,” he says. “It’s like a square, only deeper. The fat red lines are edges that are `nearer’ in the third dimension, while the skinny blue lines are edges that are `farther’”. “What are the dark diamond … Continue reading “Like a square, only deeper”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/12059"}],"collection":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=12059"}],"version-history":[{"count":5,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/12059\/revisions"}],"predecessor-version":[{"id":12065,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/12059\/revisions\/12065"}],"wp:attachment":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12059"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12059"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}