{"id":274,"date":"2011-05-13T10:19:15","date_gmt":"2011-05-13T17:19:15","guid":{"rendered":"http:\/\/theoryofeverything.org\/wordpress\/?p=274"},"modified":"2017-10-01T11:22:57","modified_gmt":"2017-10-01T18:22:57","slug":"ah-i-found-the-3rd-z-basis-vector-for-bathsheba-wizzys-600-cell","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2011\/05\/13\/ah-i-found-the-3rd-z-basis-vector-for-bathsheba-wizzys-600-cell\/","title":{"rendered":"The 3rd (Z) basis vector for Bathsheba & Wizzy’s 600 Cell"},"content":{"rendered":"

\"\"<\/a>While the 3D model I used to create the 2D Van Oss projection isomorphic to E8 Petrie <\/a>(and a beautiful pentagonal view<\/a>), it was not the same as what was being used by Richter in his 3D “pre-Van-Oss” construction<\/a>. Given my H (or x) and V (or y), the 3rd basis vector for this projections is most likely:
\nZ={0, -0.0801064, 0, 0.236818, 0, 0.0801064, 0, -0.236818}
\nwhich reproduces the Richter<\/a>, Bathsheba<\/a> and Wizzy’s<\/a> 3D models. Interestingly, it produces one face (shown above) that is the same as all the orthonormal faces of 2 concentric 600 Cells (at the Golden Ratio). The 3rd unique face is:
\n\"\"<\/a>
\nI replaced the 3D spin movie of this on my main page with this new projection.<\/p>\n