<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
<!DOCTYPE jvx-model SYSTEM "http://www.javaview.de/rsrc/jvx.dtd">
<jvx-model>
	<version type="dump">0.10</version>
	<title>Non-Shellable Simplicial 3-Ball
               with 9 Vertices</title>
        <description>
		<abstract>
                          A vertex-minimal non-shellable simplicial 3-ball
                          with 9 vertices and 18 facets.
                </abstract>
		<detail/>
		<msc2000>
        		<primary>52B22</primary>
			<secondary>52B05</secondary>
			<secondary>57Q15</secondary>
		</msc2000>
		<keywords>
			<keyword>shellability</keyword>
			<keyword>simplicial balls and spheres</keyword>
			<keyword>constructibility</keyword>
			<keyword>vertex-decomposability</keyword>
			<keyword>PL and non-PL triangulations</keyword>
		</keywords>
                <software/>
        </description>
	<geometries>
		<geometry name="NonShellableBall_3_9_18">
			<pointSet dim="3">
				<points/>
			</pointSet>
			<faceSet>
				<faces num="18">
 					<f>0, 1, 2, 3</f>
 					<f>0, 1, 2, 4</f>
 					<f>0, 1, 4, 5</f>
 					<f>0, 1, 5, 7</f>
 					<f>0, 1, 6, 8</f>
 					<f>0, 1, 7, 8</f>
 					<f>0, 2, 3, 4</f>
 					<f>0, 6, 7, 8</f>
 					<f>1, 2, 3, 6</f>
 					<f>1, 2, 4, 5</f>
 					<f>1, 2, 5, 8</f>
 					<f>1, 2, 6, 8</f>
 					<f>1, 5, 7, 8</f>
 					<f>2, 3, 4, 7</f>
 					<f>2, 3, 6, 7</f>
 					<f>2, 4, 6, 7</f> 
 					<f>2, 4, 6, 8</f>
 					<f>4, 6, 7, 8</f>
				</faces>
			</faceSet>
		</geometry>
	</geometries>
</jvx-model>
