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<div style="font-family:sans-serif"><div style="white-space:normal"><p dir="auto">You might want to try <a href="https://www.wolfram.com/language/" style="color:#3983C4">https://www.wolfram.com/language/</a>. This could work since the “programming” needed is minima (given that you have the interpretating program). See also <a href="https://www.wolfram.com/language/11/new-visualization-domains/plot-cellular-automata.html" style="color:#3983C4">https://www.wolfram.com/language/11/new-visualization-domains/plot-cellular-automata.html</a>. There seem to be free versions of some of the programs and, if not, there are usually student prices.</p>
<p dir="auto">A totally off-thread anecdote. At some academic conference where both Wolfram and we were exhibiting, the Wolfram exhibit featured his new (then) book, ‘A New Kind of Science’, very hefty at something like 1000 pages, and attractive graphics on the cover. I went up to their booth to thumb through the book. Every page was blank. I hear it eventually got fleshed out.</p>
<p dir="auto">—Barry</p>
<p dir="auto">On 25 Oct 2021, at 1:37, thompnickson2@gmail.com wrote:</p>
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<blockquote style="border-left:2px solid #777; color:#777; margin:0 0 5px; padding-left:5px"><div id="848F9F3F-214B-4799-A5BF-5155E510365C"><div lang="EN-US" link="blue" vlink="purple" style="word-wrap:break-word"><div style="page:WordSection1"><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'>Hey, Ed, </p><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'> </p><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'>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. </p><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'> </p><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'>Thanks, </p><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'> </p><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'>Nick </p><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'> </p><div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'>Nick Thompson</p><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'><a href="mailto:ThompNickSon2@gmail.com"><span style="color:#0563C1">ThompNickSon2@gmail.com</span></a></p><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'><a href="https://wordpress.clarku.edu/nthompson/"><span style="color:#0563C1">https://wordpress.clarku.edu/nthompson/</span></a></p></div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'> </p><div><div style="border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in"><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'><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</p></div></div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'> </p><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'>In an affine space (vector space + point), an ant’s position is a point and a path or trail can be described by vectors.</p><div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'> </p></div><div><div><div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'>__________<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 style="mso-style-name:apple-tab-span"> </span> <span style="mso-style-name:apple-tab-span"> </span><a href="mailto:edward.angel@gmail.com">edward.angel@gmail.com</a><br>505-453-4944 (cell) <span style="mso-style-name:apple-tab-span"> </span><a href="http://www.cs.unm.edu/~angel">http://www.cs.unm.edu/~angel</a></p></div></div><div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'><br><br></p><blockquote style="margin-top:5.0pt;margin-bottom:5.0pt"><div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'>On Oct 24, 2021, at 5:27 PM, Frank Wimberly <<a href="mailto:wimberly3@gmail.com">wimberly3@gmail.com</a>> wrote:</p></div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'> </p><div><div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0; margin-bottom:12pt'>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?</p><div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'>---<br>Frank C. Wimberly<br>140 Calle Ojo Feliz, <br>Santa Fe, NM 87505<br><br>505 670-9918<br>Santa Fe, NM</p></div></div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'> </p><div><div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'>On Sun, Oct 24, 2021, 5:12 PM Jon Zingale <<a href="mailto:jonzingale@gmail.com">jonzingale@gmail.com</a>> wrote:</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='font-family:"Courier New"; font-size:10pt; margin:0; margin-bottom:0.0001pt; mso-style-link:"HTML Preformatted Char"; mso-style-priority:99; 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</span></pre><pre style='font-family:"Courier New"; font-size:10pt; margin:0; margin-bottom:0.0001pt; mso-style-link:"HTML Preformatted Char"; mso-style-priority:99'><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></span></pre></div></div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'><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></p></blockquote></div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'><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></p></div></blockquote></div><p style='font-family:"Calibri", sans-serif; font-size:11pt; margin:0'> </p></div></div></div></div></blockquote>
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