Wandering Sea Turtles
kirby urner via Edu-sig <[email protected]> Thu, 1 May 2025 10:13:05 -0700
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--===============6799720994417783473== Content-Type: multipart/related; boundary="0000000000007afd5306341626a1" --0000000000007afd5306341626a1 Content-Type: multipart/alternative; boundary="0000000000007afd5206341626a0" --0000000000007afd5206341626a0 Content-Type: text/plain; charset="UTF-8" [image: Screen Shot 2025-05-01 at 7.35.31 AM.png] This experiment is discussed in Deep State Synergetics (YouTube) and involves four sea turtles beginning at the same ORIGIN in the IVM ocean. They represent themselves by drawing an encasing rhombic dodecahedron (RD), the one encasing the IVM ball each happens to be in at the time. Then each turtle (red, green, blue, yellow respectively) randomly chooses one of 12 directions to a neighboring IVM ball. Each time drawing the corresponding RD. Each turtle thereby leaves a colored trail of RDs, as it wanders off from the others. At the end of 500 jumps each (in this case), the final positions of the four turtles are connected by six edges, resulting in a tetrahedron (not likely regular), and its volume is computed from these six edge lengths. We know from the literature that this volume will always be a whole number of tetravolumes. In the case above, it's 76. Full text with links to source code: https://groups.io/g/synergeo/message/3099 Kirby --0000000000007afd5206341626a0 Content-Type: text/html; charset="UTF-8" Content-Transfer-Encoding: quoted-printable <div dir=3D"ltr"><font face=3D"verdana, sans-serif"><br></font><img src=3D"= cid:ii_ma5mh61o0" alt=3D"Screen Shot 2025-05-01 at 7.35.31 AM.png" width=3D= "562" height=3D"466"><br><font face=3D"verdana, sans-serif"><br>This experi= ment is discussed in Deep State Synergetics (YouTube) and involves four sea= turtles beginning at the same ORIGIN in the IVM ocean.</font><div><font fa= ce=3D"verdana, sans-serif"><br>They represent themselves by drawing an enca= sing rhombic dodecahedron (RD), the one encasing the IVM ball each happens = to be in at the time.</font></div><div><font face=3D"verdana, sans-serif"><= br>Then each turtle (red, green, blue, yellow respectively) randomly choose= s one of 12 directions to a neighboring IVM ball. Each time drawing the cor= responding RD. Each turtle thereby leaves a colored trail of RDs, as it wan= ders off from the others.</font></div><div><font face=3D"verdana, sans-seri= f"><br>At the end of 500 jumps each (in this case), the final positions of = the four turtles are connected by six edges, resulting in a tetrahedron (no= t likely regular), and its volume is computed from these six edge lengths. = We know from the literature that this volume will always be a whole number = of tetravolumes.</font></div><div><font face=3D"verdana, sans-serif"><br>In= the case above, it's 76.</font></div><div><br></div><div><div class=3D= "gmail_default" style=3D"font-family:verdana,sans-serif;font-size:small">Fu= ll text with links to source code:</div><div class=3D"gmail_default" style= =3D"font-family:verdana,sans-serif;font-size:small"><br></div><div class=3D= "gmail_default" style=3D"font-family:verdana,sans-serif;font-size:small"><a= href=3D"https://groups.io/g/synergeo/message/3099">https://groups.io/g/syn= ergeo/message/3099</a></div><div class=3D"gmail_default" style=3D"font-fami= ly:verdana,sans-serif;font-size:small"><br></div><div class=3D"gmail_defaul= t" style=3D"font-family:verdana,sans-serif;font-size:small">Kirby</div><div= class=3D"gmail_default" style=3D"font-family:verdana,sans-serif;font-size:= small"><br></div><div class=3D"gmail_default" style=3D"font-family:verdana,= sans-serif;font-size:small"><br></div><br></div></div> --0000000000007afd5206341626a0-- --0000000000007afd5306341626a1 Content-Type: image/png; name="Screen Shot 2025-05-01 at 7.35.31 AM.png" Content-Disposition: inline; filename="Screen Shot 2025-05-01 at 7.35.31 AM.png" Content-Transfer-Encoding: base64 Content-ID: <ii_ma5mh61o0> X-Attachment-Id: ii_ma5mh61o0 iVBORw0KGgoAAAANSUhEUgAAAl8AAAH3CAYAAACFGDoDAAABWmlDQ1BJQ0MgUHJvZmlsZQAAKJFt kL9Lw1AQx7+twYK0IiKCoNJFsFJFoh071A5BUAmtxR9bmtS0kNZHEqnFRXS0o3+Au6uT4O4uiOAi TioILlakxee9Rk2r3uPefTi+73H3BYKSxpglAShXXDujLETXNzajoUdIGEcvJjCs6Q5LqeoSSfBd 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