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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple style='word-wrap:break-word'><div class=WordSection1><p class=MsoNormal>Hey, Ed, <o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Perhaps you are the person to answer this question: I have snared both of my grandchildren in CA #30, the -son because he is interested in pattern formation in regenerating planaria and the -daughter because she likes really neat stuff. I would like to give them simple programs so they could generate any one of the 256 rules and see the consequences of them. I thought I would find several readily at hand, but what I did was a serious of sites which schooled me to write such a program myself. I am too old for that. Do you know of any I could email to my -children? It is the first time in years that I have actually caught their fancy with something, so it would really make me happy. <o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Thanks, <o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Nick <o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><div><p class=MsoNormal>Nick Thompson<o:p></o:p></p><p class=MsoNormal><a href="mailto:ThompNickSon2@gmail.com"><span style='color:#0563C1'>ThompNickSon2@gmail.com</span></a><o:p></o:p></p><p class=MsoNormal><a href="https://wordpress.clarku.edu/nthompson/"><span style='color:#0563C1'>https://wordpress.clarku.edu/nthompson/</span></a><o:p></o:p></p></div><p class=MsoNormal><o:p> </o:p></p><div><div style='border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in'><p class=MsoNormal><b>From:</b> Friam <friam-bounces@redfish.com> <b>On Behalf Of </b>Angel Edward<br><b>Sent:</b> Sunday, October 24, 2021 5:36 PM<br><b>To:</b> The Friday Morning Applied Complexity Coffee Group <friam@redfish.com><br><b>Subject:</b> Re: [FRIAM] stygmergy, CA's, and [biological] development<o:p></o:p></p></div></div><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>In an affine space (vector space + point), an ant\u2019s position is a point and a path or trail can be described by vectors.<o:p></o:p></p><div><p class=MsoNormal><o:p> </o:p></p></div><div><div><div><p class=MsoNormal>__________<br><br>Ed Angel<br><br>Founding Director, Art, Research, Technology and Science Laboratory (ARTS Lab)<br>Professor Emeritus of Computer Science, University of New Mexico<br><br>1017 Sierra Pinon<br>Santa Fe, NM 87501<br>505-984-0136 (home)<span class=apple-tab-span> </span> <span class=apple-tab-span> </span><a href="mailto:edward.angel@gmail.com">edward.angel@gmail.com</a><br>505-453-4944 (cell) <span class=apple-tab-span> </span><a href="http://www.cs.unm.edu/~angel">http://www.cs.unm.edu/~angel</a><o:p></o:p></p></div></div><div><p class=MsoNormal><br><br><o:p></o:p></p><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><div><p class=MsoNormal>On Oct 24, 2021, at 5:27 PM, Frank Wimberly <<a href="mailto:wimberly3@gmail.com">wimberly3@gmail.com</a>> wrote:<o:p></o:p></p></div><p class=MsoNormal><o:p> </o:p></p><div><div><p class=MsoNormal style='margin-bottom:12.0pt'>Focusing the application of ant foraging, what is the scalar product of an ant? What is the sum of two ants. Same questions for pheromone trails. If the answer is that scalar product and sum are not general enough. What are the homomorphisms of ants and pheromone trails?<o:p></o:p></p><div><p class=MsoNormal>---<br>Frank C. Wimberly<br>140 Calle Ojo Feliz, <br>Santa Fe, NM 87505<br><br>505 670-9918<br>Santa Fe, NM<o:p></o:p></p></div></div><p class=MsoNormal><o:p> </o:p></p><div><div><p class=MsoNormal>On Sun, Oct 24, 2021, 5:12 PM Jon Zingale <<a href="mailto:jonzingale@gmail.com">jonzingale@gmail.com</a>> wrote:<o:p></o:p></p></div><blockquote style='border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-right:0in'><div><div><pre style='white-space:pre-wrap'><span style='font-family:"Verdana",sans-serif;color:#333333'>I want to clarify what a dual space is. I think it is much more general<o:p></o:p></span></pre><pre><span style='font-family:"Verdana",sans-serif;color:#333333'>than Frank thinks it is: </span><span style='color:#333333'><a href="https://en.wikipedia.org/wiki/Adjoint_functors" target="_blank">https://en.wikipedia.org/wiki/Adjoint_functors</a><o:p></o:p></span></pre></div></div><p class=MsoNormal><br>.-- .- -. - / .- -.-. - .. --- -. ..--.. / -.-. --- -. .--- ..- --. .- - .<br>FRIAM Applied Complexity Group listserv<br>Zoom Fridays 9:30a-12p Mtn UTC-6 <a href="http://bit.ly/virtualfriam" target="_blank">bit.ly/virtualfriam</a><br>un/subscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com" target="_blank">http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>FRIAM-COMIC <a href="http://friam-comic.blogspot.com/" target="_blank">http://friam-comic.blogspot.com/</a><br>archives:<br> 5/2017 thru present <a href="https://redfish.com/pipermail/friam_redfish.com/" target="_blank">https://redfish.com/pipermail/friam_redfish.com/</a><br> 1/2003 thru 6/2021 <a href="http://friam.383.s1.nabble.com/" target="_blank">http://friam.383.s1.nabble.com/</a><o:p></o:p></p></blockquote></div><p class=MsoNormal><br>.-- .- -. - / .- -.-. - .. --- -. ..--.. / -.-. --- -. .--- ..- --. .- - .<br>FRIAM Applied Complexity Group listserv<br>Zoom Fridays 9:30a-12p Mtn UTC-6 <a href="http://bit.ly/virtualfriam">bit.ly/virtualfriam</a><br>un/subscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com">http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>FRIAM-COMIC <a href="http://friam-comic.blogspot.com/">http://friam-comic.blogspot.com/</a><br>archives:<br>5/2017 thru present <a href="https://redfish.com/pipermail/friam_redfish.com/">https://redfish.com/pipermail/friam_redfish.com/</a><br>1/2003 thru 6/2021 <a href="http://friam.383.s1.nabble.com/">http://friam.383.s1.nabble.com/</a><o:p></o:p></p></div></blockquote></div><p class=MsoNormal><o:p> </o:p></p></div></div></body></html>