I realized after posting the 4D Pong game yesterday, and watching peoples’ reactions, that the tricky concept is hypervolume — the equivalent of volume, but in one higher dimension.<\/p>\n
The problem is that we have no direct experience of navigating in that very rich space. It’s deceptively simple — go up\/down, left\/right, in\/out, and also one other dimension, but that extra dimension is one for which we simply have no intuition, since we don’t live there.<\/p>\n
Something as simple as playing Pong — moving a box around in a hypercube and bouncing off its hyper-walls (ie: cubes, which serve the same function as the square walls on a 3D cube) — is already stretching beyond what makes sense to most people on any intuitive level, even if they get what’s going on intellectually.<\/p>\n
I’m starting now to think about what might be good scaffolding experiences, even simpler than something like Pong, by which one could gradually “level up” to having the intuition required to navigate with ease through a hypervolume.<\/p>\n","protected":false},"excerpt":{"rendered":"
I realized after posting the 4D Pong game yesterday, and watching peoples’ reactions, that the tricky concept is hypervolume — the equivalent of volume, but in one higher dimension. The problem is that we have no direct experience of navigating in that very rich space. It’s deceptively simple — go up\/down, left\/right, in\/out, and also … Continue reading “Hypervolume”<\/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\/6960"}],"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=6960"}],"version-history":[{"count":2,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/6960\/revisions"}],"predecessor-version":[{"id":6962,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/6960\/revisions\/6962"}],"wp:attachment":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6960"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6960"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6960"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}