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test.html
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<html>
<head>
<title>CaGe -- the Tubetypes generator</title>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
<link href="style.css" rel="stylesheet" type="text/css">
<script language="JavaScript" src="select.js">
</script>
<script language="JavaScript" src="navigate.js">
</script>
<script language="JavaScript" src="subwindow.js">
</script>
</head>
<body onUnload="closeSubwindow ();">
<table border="1" cellspacing="0" cellpadding="0" width="500">
<tr valign="top">
<td>
<h1>Tubes and cones</h1>
<h2>The nanotube cap window</h2>
<a name="tubes"></a>
</td>
<td rowspan="5"><img height="1" width="20" src="Images/trans.gif" alt=""></td>
<td><br>
<a href="Images/nanotube.png" target="_blank" onClick="return imageWindow (this, 723, 495, 'output options -- initial state');"><img height="268" width="300" src="Images/nanotube.png" border="0" alt="output options -- initial state"></a></td>
</tr>
<tr valign="top">
<td>
</td>
<td><br>
<a href="Images/nanotube.png" target="_blank" onClick="return imageWindow (this, 723, 495, 'output options -- initial state');"><img height="268" width="300" src="Images/nanotube.png" border="0" alt="output options -- initial state"></a></td>
</tr>
</tr>
<tr valign="top">
<td><br>
<h2>The nanocones window</h2>
</td>
<td rowspan="1"><img height="1" width="20" src="Images/trans.gif" alt=""></td>
</tr>
<tr valign="top">
<td>
<p>
In case of an infinite 3-regular graph with 1 ≤ <i>p</i> ≤ 5 pentagons (and the rest hexagons) the
pentagons bend the structure not enough to form a tube -- the structure becaomes a cone.</p>
<p>Similar to nanotubes also nanocones can be classified by a certain boundary structure. If 1 ≤ <i>p</i>
≤ 5 is the number of pentagons and we set <i>s</i>= 6-<i>p</i> then for <i>p</i> ∈ {1,5} one can
always find a closed cycle so that the inner part has a boundary structure of ((23)<sup><i>k</i></sup>2)<sup><i>s</i></sup>
for some <i>k</i>. For <i>p</i> ∈ {2,3,4} the boundary structure is either ((23)<sup><i>k</i></sup>2)<sup><i>s</i></sup>
or ((23)<sup><i>k</i></sup>2)<sup><i>s-1</i></sup>(23)<sup>k-1</sup>2. The patches with all maximal 23-subsequences
of the boundary of the same length are called symmetric and the others are called nonsymmetric. Patches with one of
these boundary structures and a pentagon in the boundary are called nanocone-caps. If a patch has the given boundary
structure but no pentagon in the boundary, then all faces adjacent to the boundary can be removed with the result a
patch of the same type (symmetric or unsymmetric) and the same parameter <i>s</i> but the new parameter <i>k</i>'
with <i>k</i>'=<i>k</i>-1.</p>
<p>In this part one first chooses whether one wants a symmetric or a nonsymmetric boundary. Then one chooses the
number <i>p</i> of pentagons in the cone and the length of the longest side -- which is the parameter <i>k</i> in
the description of the boundary above.</p>
<p>The generator generates all caps with the given boundary structure. There is a one-one correspondence between
these caps and nanocones with caps for these parameters, so in fact exactly one representative for every isomorphism
class of nanocones with the given parameters is generated.<br>Different from nanotubes, different caps can not lead
to the same cone.</p>
<p>Options are:</p>
<ul>
<li>generate only caps representing IPR nanocones</li>
<li>add a given number of hexagon rings to the generated caps</li>
</ul>
</td>
<td><br>
<a href="Images/cone.png" target="_blank" onClick="return imageWindow (this, 723, 495, 'output options -- initial state');"><img height="268" width="300" src="Images/cone.png" border="0" alt="output options -- initial state"></a></td>
</tr>
<tr valign="top">
<td align="left"><font face="Verdana, Arial, Helvetica, sans-serif" size="2"> </font></td>
</tr>
<tr valign="top">
<td nowrap width="500">
<table border="0" cellspacing="0%" cellpadding=0%" width="100%">
<tr valign="top">
<td align="right" nowrap><a href="generators.html" onMouseOver="return setFocused (this);" onMouseOut="setPassive (this);" onClick="return setClicked (this);" class="navigation">choosing
a generator window<img src="Images/trans.gif" width=5 height=1 border="0" alt=" "><img src="Images/pointer-backward-passive.gif" width="6" height="11" border="0" alt="<" name="generators"></a></td>
<td nowrap width="100%" align="center"> </td>
<td align="left" nowrap><a href="output.html" onMouseOver="return setFocused (this);" onMouseOut="setPassive (this);" onClick="return setClicked (this);" class="navigation"><img src="Images/pointer-passive.gif" width="6" height="11" border="0" alt=">" name="output"><img src="Images/trans.gif" width=5 height=1 border="0" alt=" ">output
options</a></td>
</tr>
<tr>
<td colspan="3" bgcolor="#ffffff"><img src="Images/trans.gif" width="1" height="1"></td>
</tr>
<tr valign="top">
<td align="right" nowrap><a href="hydrocarbons.html" onMouseOver="return setFocused (this);" onMouseOut="setPassive (this);" onClick="return setClicked (this);" class="navigation">the
hydrocarbons windows<img src="Images/trans.gif" width=5 height=1 border="0" alt=" "><img src="Images/pointer-backward-passive.gif" width="6" height="11" border="0" alt="<" name="hydrocarbons"></a></td>
<td nowrap width="100%" align="center"> </td>
<td align="left" nowrap><a href="triangulations.html" onMouseOver="return setFocused (this);" onMouseOut="setPassive (this);" onClick="return setClicked (this);" class="navigation"><img src="Images/pointer-passive.gif" id="selecting" width="6" height="11" border="0" alt=">" name="triangulations"><img src="Images/trans.gif" width=5 height=1 border="0" alt=" ">the triangulations windows</a></td>
</tr>
</table>
</td>
</tr>
<tr>
<td><img height="1" width="500" src="Images/trans.gif" alt=""></td>
</tr>
</table>
<script language="JavaScript"><!--
document.select_contentName = "generators/tubetypes";
contentLoaded ();
// --></script>
</body>
</html>