In lesson 20 we finally move from 2D graphics to 3D graphics. Specifically we go from flat disks to spheres.<\/p>\n
To do this we just use some high school math. For a sphere of radius From there it is pretty easy to show that if you already know We use this formula to create a sphere, which we will do cool things with in coming lessons.<\/p>\n You can see this lesson by CLICKING HERE<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":" In lesson 20 we finally move from 2D graphics to 3D graphics. Specifically we go from flat disks to spheres. To do this we just use some high school math. For a sphere of radius r, you probably learned in high school that for any point (x,y,z) on the sphere surface the following is true: … Continue reading “CG programming for non-programmers, lesson 20”<\/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\/19576"}],"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=19576"}],"version-history":[{"count":2,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/19576\/revisions"}],"predecessor-version":[{"id":19578,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/19576\/revisions\/19578"}],"wp:attachment":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=19576"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=19576"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=19576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}r<\/code>, you probably learned in high school that for any point (x,y,z) on the sphere surface the following is true:
\n
\n x2<\/sup> + y2<\/sup> + z2<\/sup> = r2<\/sup>
\n<\/code><\/p>\nx<\/code>,y<\/code> and r<\/code>, you can find z<\/code> by:
\n
\n z = sqrt(r2<\/sup> - x2<\/sup> - y2<\/sup>)
\n<\/code><\/p>\n