{"id":16,"date":"2021-07-18T11:22:08","date_gmt":"2021-07-18T15:22:08","guid":{"rendered":"https:\/\/dividedspheres.com\/?page_id=16"},"modified":"2021-07-18T11:43:15","modified_gmt":"2021-07-18T15:43:15","slug":"whats-inside","status":"publish","type":"page","link":"https:\/\/dividedspheres.com\/?page_id=16","title":{"rendered":"What&#8217;s New Inside"},"content":{"rendered":"<p><em><strong>Divided Spheres <\/strong><\/em> assumes you have no prior knowledge of spheres except for having played with a beach ball or perhaps noticed the dimple patterns on a golf ball. Every geometric aspect is illustrated, so much so, that you can learn the principles of spherical design simply by following <em><strong>Divided Spheres&#8217;<\/strong><\/em> figures. The principles of spherical design and the three main Classes of subdivision plus self-organizing grids based on geometric solids (polyhedra) are explained step-by-step.<br \/>\n<be><br \/>\n<strong>New to the Second Edition<\/strong><\/be><\/p>\n<ul>\n<li> <strong><font color=\"GoldenRod\">New Foreword<\/font><\/strong> by Joseph Clinton, lifelong Buckminster Fuller collaborator<\/li>\n<li> <strong><font color=\"GoldenRod\">A new chapter on Self-Organizing Grids<\/font><\/strong> by Chris Kitrick on the mathematical techniques for developing optimal single-edge hexagonal tessellations, of varying density, with the smallest edge possible for a particular topology, suggesting ways of comparing their levels of optimization<\/li>\n<li> <strong><font color=\"GoldenRod\">An expanded history<\/font><\/strong> of the evolution of spherical subdivision<\/li>\n<li> <strong><font color=\"GoldenRod\">New applications of spherical design<\/font><\/strong> in science, product design, architecture, geographic information systems, virtual reality, the arts and entertainment<\/li>\n<li> <strong><font color=\"GoldenRod\">New geodesic algorithms<\/font><\/strong> for grid optimization<\/li>\n<li> <strong><font color=\"GoldenRod\">New full-color DisplaySphere illustrations<\/font><\/strong> to aid readers in visualizing and comparing the various tessellations presented in the book<\/li>\n<li> <strong><font color=\"GoldenRod\">Updated Bibliography<\/font><\/strong> with references to the most recent advancements in spherical subdivision methods<\/li>\n<\/ul>\n<p>Here&#8217;s what&#8217;s inside, Google&#8217;s review &amp; some sample pages &#8230;<\/p>\n<ul>\n<li><strong>Chapter 1 &#8211; Divided Spheres<\/strong><\/li>\n<li><strong>Chapter 2 &#8211; Bucky\u2019s Dome<\/strong><\/li>\n<li><strong>Chapter 3 &#8211; Putting Spheres to Work<\/strong><\/li>\n<li><strong>Chapter 4 &#8211; Circular Reasoning<\/strong><\/li>\n<li><strong>Chapter 5 &#8211; Distributing Points<\/strong><\/li>\n<li><strong>Chapter 6 &#8211; Polyhedral Frameworks<\/strong><\/li>\n<li><strong>Chapter 7 &#8211; Golf Ball Dimples<\/strong><\/li>\n<li><strong>Chapter 8 &#8211; Subdivision Schemas<\/strong><\/li>\n<li><strong>Chapter 9 &#8211; Comparing Results<\/strong><\/li>\n<li><strong>Chapter 10 &#8211; Self-Organizing Grids<\/strong><\/li>\n<li><strong>Appendices<\/strong>\n<ul>\n<li><em>Stereographic Projection<\/em><\/li>\n<li><em>Coordinate Rotations<\/em><\/li>\n<li><em>Geodesic Math<\/em><\/li>\n<\/ul>\n<\/li>\n<li><strong>Bibliography<\/strong><\/li>\n<li><strong>Index<\/strong><\/li>\n<li><a title=\"About the Authors\" href=\"https:\/\/dividedspheres.com\/?page_id=19\" target=\"_blank\" rel=\"noopener\"><strong>About the Authors<\/strong><\/a><\/li>\n<\/ul>\n<p>&nbsp;<br \/>\n<strong>See Google&#8217;s review, <a href=\"https:\/\/books.google.com\/books?id=Mmc1EAAAQBAJ&amp;pg=PR29&amp;lpg=PR29&amp;dq=divided+spheres+2nd+edition&amp;source=bl&amp;ots=KaTT5z9T-2&amp;sig=ACfU3U1h8xF4sJPVsn0OFej31KFd-EMx5w&amp;hl=en&amp;sa=X&amp;ved=2ahUKEwiWjtOug83xAhUiIDQIHbyrBCEQ6AEwEnoECAgQAw#v=onepage&amp;q=divided%20spheres%202nd%20edition&amp;f=false\">click here<\/a><\/strong><br \/>\n&nbsp;<br \/>\n<be><\/be><\/p>\n<h3>Sample Pages<\/h3>\n<p><!-- row 2 of sample pages --><\/p>\n<p><!-- row 3 of sample pages --><\/p>\n<p><!-- row 4 of sample pages --><\/p>\n<p><!-- row 5 of sample pages --><\/p>\n<p><!-- row 6 and last of sample pages --><\/p>\n<table style=\"position: relative;\" width=\"100%\" cellspacing=\"0\" cellpadding=\"0\" border=\"0\">\n<tbody><!-- row 1 of sample pages --><\/p>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/9780367680039-scaled.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/9780367680039-scaled.jpg\" alt=\"\"><br \/>\n<strong>Front Cover<\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg005.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 318px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg005.jpg\" alt=\"Page 5\"> <strong>5<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg013.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg013.jpg\" alt=\"Page 13\"> <strong>13 <\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg025.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg025.jpg\" alt=\"Page 25\"> <strong>25<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg027.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg027.jpg\" alt=\"Page 27\"> <strong>27 <\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg031.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg031.jpg\" alt=\"Page 31\"> <strong>31<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg082.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg082.jpg\" alt=\"Page 82\"> <strong>82 <\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg084.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg084.jpg\" alt=\"Page 84\"> <strong>84<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg099.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg099.jpg\" alt=\"Page 99\"> <strong>99 <\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg130.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg130.jpg\" alt=\"Page 130\"> <strong>130<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg203.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg203.jpg\" alt=\"Page 203\"> <strong>203 <\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg207.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg207.jpg\" alt=\"Page 207\"> <strong>207<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg213.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 241px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg213.jpg\" alt=\"Page 213\"> <strong>213<\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg238.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg238.jpg\" alt=\"Page 238\"> <strong>238<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg250.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg250.jpg\" alt=\"Page 250\">  <strong>250<\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg265.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg265.jpg\" alt=\"Page 265\"> <strong>265<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg284.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg284.jpg\" alt=\"Page 284\">  <strong>284<\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg287.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg287.jpg\" alt=\"Page 287\"> <strong>287<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg293.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg293.jpg\" alt=\"Page 293\"> <strong>293<\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg300.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg300.jpg\" alt=\"Page 300\"> <strong>326<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg326.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg326.jpg\"> <strong>326<\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg345.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg345.jpg\" alt=\"Page 345\"> <strong>345<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg347.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/wp-content\/uploads\/2021\/07\/DS2ndEdPg347.jpg\" alt=\"Page 347\"> <strong>347<\/strong><\/a><\/td>\n<td width=\"50%\"><a class=\"MagicThumb\" href=\"https:\/\/dividedspheres.com\/blog\/wp-content\/uploads\/2012\/07\/DS-back-cover.jpg\"><br \/>\n<img decoding=\"async\" style=\"width: 226px; height: 314px; margin: 0; padding: 0; border: 0;\" src=\"https:\/\/dividedspheres.com\/blog\/wp-content\/uploads\/2012\/07\/DS-back-cover.jpg\" alt=\"Back cover\"> <strong>Back cover<\/strong><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<br \/>\n<be><\/be><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Divided Spheres assumes you have no prior knowledge of spheres except for having played with a beach ball or perhaps noticed the dimple patterns on a golf ball. Every geometric aspect is illustrated, so much so, that you can learn the principles of spherical design simply by following Divided Spheres&#8217; figures. The principles of spherical [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":1,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-16","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/dividedspheres.com\/index.php?rest_route=\/wp\/v2\/pages\/16","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=16"}],"version-history":[{"count":11,"href":"https:\/\/dividedspheres.com\/index.php?rest_route=\/wp\/v2\/pages\/16\/revisions"}],"predecessor-version":[{"id":480,"href":"https:\/\/dividedspheres.com\/index.php?rest_route=\/wp\/v2\/pages\/16\/revisions\/480"}],"wp:attachment":[{"href":"https:\/\/dividedspheres.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=16"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}