{"id":25,"date":"2012-07-20T21:45:46","date_gmt":"2012-07-20T21:45:46","guid":{"rendered":"https:\/\/dividedspheres.com\/?page_id=25"},"modified":"2012-08-05T13:27:12","modified_gmt":"2012-08-05T17:27:12","slug":"sample-data","status":"publish","type":"page","link":"https:\/\/dividedspheres.com\/?page_id=25","title":{"rendered":"Sample Data"},"content":{"rendered":"<p><em><strong>Divided Spheres<\/strong><\/em> presents six classic techniques for subdividing a sphere. Each\u00a0technique\u00a0subdivides a principle triangle of a spherical polyhedra and\u00a0results in a set of points on the sphere. When neighboring points are connected with chords or arcs, an even triangulated grid forms over the principle triangle. To cover the entire sphere without\u00a0overlaps or gaps, this set of points are\u00a0copied and\u00a0rotated to other positions on the sphere&#8217;s surface. <em><strong>Divided Spheres<\/strong><\/em> explains how this is done. You can download the\u00a0points for the principle triangle of a spherical icosahedron\u00a0and experiment with them in a variety of display programs. You can also manipulate or edit them to create your own design patterns by connecting the points in different layouts.<\/p>\n<p>To download a set of grid coordinates, orientation figure or grid point numbering schema, just click on the subdivision schema you are\u00a0interested in. All coordinate sets are for the principle triangle of a spherical icosahedron with a frequency 8 grid:<\/p>\n<p><strong>Class I Grid Schemas<\/strong><img decoding=\"async\" style=\"padding: 9px;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassI_Grid_Orientation.jpg\" alt=\"Divided Spheres Front Cover\" width=\"40%\" align=\"right\" hspace=\"10\" vspace=\"8\" \/><\/p>\n<ul>\n<li><strong><a title=\"Class I_Equal_Chords_Coords\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassI_Equal_Chords_Coords.txt\" target=\"_blank\">Equal Chords grid coordinates<\/a><\/strong><\/li>\n<li><strong><a title=\"Class I_Equal_Arcs_2GC_Coords\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassI_Equal_Arcs_2GC_Coords.txt\" target=\"_blank\">Equal Arcs(Two Great Circles) grid coordinates<\/a><\/strong><\/li>\n<li><strong><a title=\"Class I_Equal_Arcs_3GC_Coords\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassI_Equal_Arcs_3GC_Coords.txt\" target=\"_blank\">Equal Arcs (Three Great Circles) grid coordinates<\/a><\/strong><\/li>\n<li><strong><a title=\"Class I_Mid-Arcs_Coords\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassI_Mid-Arcs_Coords.txt\" target=\"_blank\">Mid-Arcs grid coordinates<\/a><\/strong><\/li>\n<li><strong><a title=\"Class I Grid Reference Numbers\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassI_Grid_Ref_Numbers.jpg\" target=\"_blank\">Principal triangle grid numbering schema<\/a><\/strong><\/li>\n<\/ul>\n<p><strong>Class II Grid Schema<\/strong><img decoding=\"async\" style=\"padding: 9px;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassII_Grid_Orientation.jpg\" alt=\"Divided Spheres Front Cover\" width=\"40%\" align=\"right\" hspace=\"10\" vspace=\"8\" \/><\/p>\n<ul>\n<li><strong><a title=\"Class II_Diamond_Coords\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassII_Diamond_Coords.txt\" target=\"_blank\">Triacon diamond coordinates<\/a><\/strong><\/li>\n<li><strong><a title=\"Class II_Grid_Ref_Numbers_v2\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassII_Grid_Ref_Numbers_v2.jpg\" target=\"_blank\">Principal diamond grid numbering schema<\/a><\/strong><\/li>\n<\/ul>\n<p><strong>Class III Grid Schema<\/strong><img decoding=\"async\" style=\"padding: 9px;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassIII_Grid_Orientation.jpg\" alt=\"Divided Spheres Front Cover\" width=\"40%\" align=\"right\" hspace=\"10\" vspace=\"8\" \/><\/p>\n<ul>\n<li><strong><a title=\"Class III_Skew_Coords\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassIII_Skew_Coords.txt\" target=\"_blank\">Skewed grid coordinates<\/a><\/strong><\/li>\n<li><strong><a title=\"Class III Grid Reference Numbers\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2012\/07\/ClassIII_Grid_Ref_Numbers.jpg\" target=\"_blank\">Principal triangle grid numbering schema<\/a><\/strong><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/creativecommons.org\/licenses\/by\/3.0\/deed.en_US\" rel=\"license\"><img decoding=\"async\" style=\"border-width: 0;\" src=\"http:\/\/i.creativecommons.org\/l\/by\/3.0\/88x31.png\" alt=\"Creative Commons License\" \/><\/a><br \/>\n<span>Divided Spheres schema grid coordinates<\/span> by <strong><a title=\"Edward Popko\" href=\" https:\/\/dividedspheres.com\/?page_id=19\" rel=\"cc:attributionURL\" target=\"_blank\">Edward S. Popko<\/a><\/strong> is licensed under a <strong><a title=\"Creative Commons License\" href=\"http:\/\/creativecommons.org\/licenses\/by\/3.0\/deed.en_US\" rel=\"license\" target=\"_blank\">Creative Commons Attribution 3.0 Unported License<\/a>.<\/strong> Based on a work at <strong><a title=\"Divided Spheres web site\" href=\"https:\/\/dividedspheres.com\" rel=\"dct:source\" target=\"_blank\">dividedspheres.com<\/a>.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Divided Spheres presents six classic techniques for subdividing a sphere. Each\u00a0technique\u00a0subdivides a principle triangle of a spherical polyhedra and\u00a0results in a set of points on the sphere. When neighboring points are connected with chords or arcs, an even triangulated grid forms over the principle triangle. To cover the entire sphere without\u00a0overlaps or gaps, this set [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":22,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-25","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/dividedspheres.com\/index.php?rest_route=\/wp\/v2\/pages\/25","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dividedspheres.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/dividedspheres.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/dividedspheres.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dividedspheres.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25"}],"version-history":[{"count":10,"href":"https:\/\/dividedspheres.com\/index.php?rest_route=\/wp\/v2\/pages\/25\/revisions"}],"predecessor-version":[{"id":202,"href":"https:\/\/dividedspheres.com\/index.php?rest_route=\/wp\/v2\/pages\/25\/revisions\/202"}],"up":[{"embeddable":true,"href":"https:\/\/dividedspheres.com\/index.php?rest_route=\/wp\/v2\/pages\/22"}],"wp:attachment":[{"href":"https:\/\/dividedspheres.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}