<?xml version="1.0"?>
<problem xmlns="http://geocentral.net">
<version>3.1</version>
<envelope>
<author>
<name>Stelian Dumitrascu</name>
<email>stelian@geocentral.net</email>
<web>http://geocentral.net/geometria</web>
</author>
<comments>This is a sample Geometria problem.</comments>
</envelope>
<text>All edges of this polyhedron are equal. Intersect it with a plane that does not contain any of the vertices so that the section is a rhombus.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Rhomboid</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>false</labelled>
<solid>
<points>
<point>
<label>D</label>
<coords>-0.3333333333333332 -0.19245008972987532 1.0886621079036347</coords>
</point>
<point>
<label>A</label>
<coords>-0.3333333333333332 0.9622504486493761 -0.5443310539518175</coords>
</point>
<point>
<label>C</label>
<coords>0.6666666666666667 -0.769800358919501 -0.5443310539518175</coords>
</point>
<point>
<label>B</label>
<coords>-1.3333333333333333 -0.769800358919501 -0.5443310539518175</coords>
</point>
<point>
<label>E</label>
<coords>1.3333333333333333 0.769800358919501 0.5443310539518176</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>0.24516082543905648 0.5560266954685396 0.5346493834469224 0.5872652896061579</attitude>
</camera>
</figure>
</figures>
<answer>
<type>conditionPlane</type>
<condition>
<type>throughNoVertex</type>
<figureName>Rhomboid</figureName>
</condition>
<condition/>
<condition>
<type>rhombus</type>
<figureName>Rhomboid</figureName>
</condition>
</answer>
</problem>
