1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<HTML>
<!-- HTML file produced from file: UserManual.tex --
-- using Hyperlatex v 2.3.1 (c) Otfried Cheong--
-- on Emacs 21.1 (patch 4) "Arches" XEmacs Lucid, Sun Apr 30 20:49:54 2000 -->
<HEAD>
<TITLE>Tao User Manual -- The Emergent Behaviour of the Material</TITLE>
<link rel=stylesheet href="../../taomanual.css" type="text/css">
</HEAD><BODY BACKGROUND="bg.gif">
<table width="500" border="0" align="left" cellspacing="2" cellpadding="2"><tr><td class="nav" valign="top"><!-- top panel --><A HREF="UserManual_20.html"><IMG ALT="Up" ALIGN=BOTTOM BORDER=0 SRC="up.gif"></A>
<BR><A HREF="UserManual_20.html"><B>Tao</B>'s Cellular Material</A><BR><IMG width="167" height="1" SRC="trans1x1.gif">
</td><td class="nav" valign="top"><A HREF="UserManual_21.html"><IMG ALT="Back" ALIGN=BOTTOM BORDER=0 SRC="back.gif"></A>
<BR><A HREF="UserManual_21.html">Cell Attributes</A><BR><IMG width="167" height="1" SRC="trans1x1.gif">
</td><td class="nav" valign="top"><A HREF="UserManual_23.html"><IMG ALT="Forward" ALIGN=BOTTOM BORDER=0 SRC="forward.gif"></A>
<BR><A HREF="UserManual_23.html">Generating Sound Output from the Material</A><BR><IMG width="167" height="1" SRC="trans1x1.gif">
</td></tr><!-- end top panel --><tr><td colspan="3" class="main"><!-- main text --><br><br>
<H3>The Emergent Behaviour of the Material</H3>
Having described the microscopic structure of the cellular material
it is now time to say something about its macroscopic behaviour.
One of the most appealing features of computer models in which many
simple elements interact on a local basis according to well-defined
rules is that they often exhibit interesting <EM>emergent behaviour</EM><A NAME="1">.</A>
In <B>Tao</B>'s case the material appears to behave (not surpisingly) like an
continuous elastic sheet when viewed from a distance.
<P>Figure <A HREF="#2">*</A> shows a typical piece of <B>Tao</B>'s material,
in this case a circular sheet which has had a short impulse applied at a
single point. The image is a snapshot taken some short time interval later
and clearly shows wavefronts spreading out from the point of impact and
also reflecting off of the boundary of the object.
<P><P> <A NAME="2">
<BLOCKQUOTE><CENTER>
<IMG SRC="circle_example.gif">
</CENTER></BLOCKQUOTE>
<CENTER>Screenshot of typical <B>Tao</B> instrument</CENTER>
</A>
<P><P>In the graphical representation used the individual cells and springs
are not visible. Instead what we see is a wireframe representation in which
each line represents a single row of cells. Note how smoothly contoured
the waves are, giving the impression that the material is
continuous and elastic in behaviour.
<P>
<BR></td></tr><!-- end main text --><tr><td class="nav" align="left" valign="top"><!-- bottom matter --><A HREF="UserManual_20.html"><IMG ALT="Up" ALIGN=BOTTOM BORDER=0 SRC="up.gif"></A>
<BR><A HREF="UserManual_20.html"><B>Tao</B>'s Cellular Material</A><BR><IMG width="167" height="1" SRC="trans1x1.gif">
</td><td class="nav" align="left" valign="top"><A HREF="UserManual_21.html"><IMG ALT="Back" ALIGN=BOTTOM BORDER=0 SRC="back.gif"></A>
<BR><A HREF="UserManual_21.html">Cell Attributes</A><BR><IMG width="167" height="1" SRC="trans1x1.gif">
</td><td class="nav" align="left" valign="top"><!-- bottom matter --><A HREF="UserManual_23.html"><IMG ALT="Forward" ALIGN=BOTTOM BORDER=0 SRC="forward.gif"></A>
<BR><A HREF="UserManual_23.html">Generating Sound Output from the Material</A>
<IMG width="167" height="1" SRC="trans1x1.gif">
</td></tr><!-- end bottom matter -->
<tr><td colspan="3" class="addr"><!-- bottom panel --><ADDRESS><FONT SIZE=-1>©1999,2000 Mark Pearson
<A HREF="mailto:m.pearson@ukonline.co.uk">m.pearson@ukonline.co.uk</A> April 30, 2000</ADDRESS><BR></td></tr><!-- end bottom panel --></table></BODY></HTML>
|
