<?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>O problemă-model din cadrul Geometriei.</comments>
</envelope>
<text>Aceasta carcasă are forma unui trunchi regulat. Pentru a face carcasa de k ori mai înaltă, patru dintre cele mai scurte muchii vor fi înlocuite cu unele mai mari. Află valoarea maximă a lui k.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Trunchi</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>false</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>1.0 -0.007499999999999982 -0.23270152556440193</coords>
</point>
<point>
<label>B</label>
<coords>0.0 0.9925 -0.23270152556440193</coords>
</point>
<point>
<label>C</label>
<coords>-1.0 -0.007499999999999859 -0.23270152556440193</coords>
</point>
<point>
<label>I</label>
<coords>0.0 -0.2575 0.9920433458271871</coords>
</point>
<point>
<label>D</label>
<coords>0.0 -1.0075 -0.23270152556440193</coords>
</point>
<point>
<label>J</label>
<coords>0.25000000000000006 -0.007499999999999982 0.9920433458271871</coords>
</point>
<point>
<label>K</label>
<coords>0.0 0.24250000000000002 0.9920433458271871</coords>
</point>
<point>
<label>L</label>
<coords>-0.2500000000000001 -0.007499999999999951 0.992043345827187</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>-0.47362987369018933 -0.3665103929239398 -0.46694017433073187 0.650624122072753</attitude>
</camera>
</figure>
</figures>
<answer>
<type>number</type>
<value>1.1726039399558574</value>
</answer>
</problem>
