{"id":86,"date":"2010-10-12T12:12:14","date_gmt":"2010-10-12T20:12:14","guid":{"rendered":"http:\/\/www.technicaljapanese.com\/?p=86"},"modified":"2012-01-26T13:29:55","modified_gmt":"2012-01-26T21:29:55","slug":"basic-3d-geometry","status":"publish","type":"post","link":"http:\/\/www.technicaljapanese.com\/?p=86","title":{"rendered":"Basic 3D geometry"},"content":{"rendered":"

In a continuation of the geometry theme, let\u00e2\u20ac\u2122s move from 2D geometry to 3D.<\/p>\n

First, simple extensions of two dimensional objects:
\n\u00e5\u2020\u2020\u00e6\u0178\u00b1 – \u00e3\u0081\u02c6\u00e3\u201a\u201c\u00e3\u0081\u00a1\u00e3\u201a\u2026\u00e3\u0081\u2020 – cylinder (extension of a circle)
\n\u00e7\u00ab\u2039\u00e6\u2013\u00b9\u00e4\u00bd\u201c – \u00e3\u201a\u0160\u00e3\u0081\u00a3\u00e3\u0081\u00bd\u00e3\u0081\u2020\u00e3\u0081\u0178\u00e3\u0081\u201e – cube (extension of a square)
\n\u00e7\u203a\u00b4\u00e6\u2013\u00b9\u00e4\u00bd\u201c – \u00e3\u0081\u00a1\u00e3\u201a\u2021\u00e3\u0081\u008f\u00e3\u0081\u00bb\u00e3\u0081\u2020\u00e3\u0081\u0178\u00e3\u0081\u201e – cuboid (extension of a rectangle)<\/p>\n

The extensions of two dimensional polygons are prisms:
\n\u00e8\u00a7\u2019\u00e6\u0178\u00b1 – \u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u00a1\u00e3\u201a\u2026\u00e3\u0081\u2020 – prism
\n\u00e4\u00b8\u2030\u00e8\u00a7\u2019\u00e6\u0178\u00b1 – \u00e3\u0081\u2022\u00e3\u201a\u201c\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u00a1\u00e3\u201a\u2026\u00e3\u0081\u2020 – triangular prism
\n\u00e5\u203a\u203a\u00e8\u00a7\u2019\u00e6\u0178\u00b1 – \u00e3\u0081\u2014\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u00a1\u00e3\u201a\u2026\u00e3\u0081\u2020 – square prism
\n\u00e4\u00ba\u201d\u00e8\u00a7\u2019\u00e6\u0178\u00b1 – \u00e3\u0081\u201d\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u00a1\u00e3\u201a\u2026\u00e3\u0081\u2020 – pentagonal prism\/column
\n\u00e5\u2026\u00ad\u00e8\u00a7\u2019\u00e6\u0178\u00b1 – \u00e3\u201a\u008d\u00e3\u0081\u00a3\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u00a1\u00e3\u201a\u2026\u00e3\u0081\u2020 – hexagonal prism\/column
\n\u00e4\u00b8\u0192\u00e8\u00a7\u2019\u00e6\u0178\u00b1 – \u00e3\u0081\u2014\u00e3\u0081\u00a1\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u00a1\u00e3\u201a\u2026\u00e3\u0081\u2020 – heptagonal prism\/column
\n\u00e5\u2026\u00ab\u00e8\u00a7\u2019\u00e6\u0178\u00b1 – \u00e3\u0081\u00af\u00e3\u0081\u00a3\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u00a1\u00e3\u201a\u2026\u00e3\u0081\u2020 – octagonal prism\/column<\/p>\n

A slight modification to an extension creates a cone or pyramidal shape:
\n\u00e5\u2020\u2020\u00e9\u0152\u0090 – \u00e3\u0081\u02c6\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u201e – cone
\n\u00e4\u00b8\u2030\u00e8\u00a7\u2019\u00e9\u0152\u0090 – \u00e3\u0081\u2022\u00e3\u201a\u201c\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u2122\u00e3\u0081\u201e – a three sided pyramid (tetrahedron)
\n\u00e5\u203a\u203a\u00e8\u00a7\u2019\u00e9\u0152\u0090 – \u00e3\u0081\u2014\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u2122\u00e3\u0081\u201e – a four sided pyramid (square pyramid)
\n\u00e4\u00ba\u201d\u00e8\u00a7\u2019\u00e9\u0152\u0090 – \u00e3\u0081\u201d\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u2122\u00e3\u0081\u201e – a five sided pyramid (pentagonal pyramid)
\n\u00e5\u2026\u00ad\u00e8\u00a7\u2019\u00e9\u0152\u0090 – \u00e3\u201a\u008d\u00e3\u0081\u00a3\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u2122\u00e3\u0081\u201e – a six sided pyramid (hexagonal pyramid)<\/p>\n

Now, more uniquely three dimensional objects:
\n\u00e7\u0090\u0192 – \u00e3\u0081\u008d\u00e3\u201a\u2026\u00e3\u0081\u2020 – sphere
\n\u00e7\u0090\u0192\u00e4\u00bd\u201c – \u00e3\u0081\u008d\u00e3\u201a\u2026\u00e3\u0081\u2020\u00e3\u0081\u0178\u00e3\u0081\u201e – solid sphere<\/p>\n

\u00e5\u203a\u017e\u00e8\u00bb\u00a2\u00e6\u00a5\u2022\u00e5\u2020\u2020\u00e4\u00bd\u201c – \u00e3\u0081\u2039\u00e3\u0081\u201e\u00e3\u0081\u00a6\u00e3\u201a\u201c\u00e3\u0081\u00a0\u00e3\u0081\u02c6\u00e3\u201a\u201c\u00e3\u0081\u0178\u00e3\u0081\u201e – spheroid
\n\u00e6\u2030\u0081\u00e5\u00b9\u00b3\u00e6\u00a5\u2022\u00e5\u2020\u2020\u00e4\u00bd\u201c – \u00e3\u0081\u00b8\u00e3\u201a\u201c\u00e3\u0081\u00ba\u00e3\u0081\u201e\u00e3\u0081\u00a0\u00e3\u0081\u02c6\u00e3\u201a\u201c\u00e3\u0081\u0178\u00e3\u0081\u201e – oblate spheroid
\n\u00e6\u2030\u0081\u00e9\u2022\u00b7\u00e6\u00a5\u2022\u00e5\u2020\u2020\u00e4\u00bd\u201c – \u00e3\u0081\u00b8\u00e3\u201a\u201c\u00e3\u0081\u00a1\u00e3\u201a\u2021\u00e3\u0081\u2020\u00e3\u0081\u00a0\u00e3\u0081\u02c6\u00e3\u201a\u201c\u00e3\u0081\u0178\u00e3\u0081\u201e – prolate spheroid<\/p>\n

\u00e3\u0192\u02c6\u00e3\u0192\u00bc\u00e3\u0192\u00ab\u00e3\u201a\u00b9 – \u00e3\u0081\u00a8\u00e3\u0192\u00bc\u00e3\u201a\u2039\u00e3\u0081\u2122 – torus<\/p>\n

Obviously, there are many more geometric figures, but this seems like enough for one post. <\/p>\n","protected":false},"excerpt":{"rendered":"

In a continuation of the geometry theme, let\u00e2\u20ac\u2122s move from 2D geometry to 3D. First, simple extensions of two dimensional objects: \u00e5\u2020\u2020\u00e6\u0178\u00b1 – \u00e3\u0081\u02c6\u00e3\u201a\u201c\u00e3\u0081\u00a1\u00e3\u201a\u2026\u00e3\u0081\u2020 – cylinder (extension of a circle) \u00e7\u00ab\u2039\u00e6\u2013\u00b9\u00e4\u00bd\u201c – \u00e3\u201a\u0160\u00e3\u0081\u00a3\u00e3\u0081\u00bd\u00e3\u0081\u2020\u00e3\u0081\u0178\u00e3\u0081\u201e – cube (extension of a square) \u00e7\u203a\u00b4\u00e6\u2013\u00b9\u00e4\u00bd\u201c – \u00e3\u0081\u00a1\u00e3\u201a\u2021\u00e3\u0081\u008f\u00e3\u0081\u00bb\u00e3\u0081\u2020\u00e3\u0081\u0178\u00e3\u0081\u201e – cuboid (extension of a rectangle) The extensions of two dimensional polygons are […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-86","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/posts\/86","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=86"}],"version-history":[{"count":2,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/posts\/86\/revisions"}],"predecessor-version":[{"id":132,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/posts\/86\/revisions\/132"}],"wp:attachment":[{"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=86"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=86"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=86"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}