Geometry Question Again

From: Harine, Katherine (Katherine.J.Harine@nasa.gov)
Date: Tue Sep 12 2006 - 10:57:03 CEST

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    As there was some problem with the file I attached the first time I sent =
    this I am sending it again. For some reason the attachment was put in =
    the message body in encoded form. This time I have sent it using three =
    methods:

    First: it should be an attached file named geom.txt.

    Second: It can also be viewed at the link:

    http://home.earthlink.net/~artsietopology/geom

    Or the third alternative is I will put it inline below.

    The question is: Is the attached geometry well defined? It runs; =
    however, I was told by
    another FLUKA user that the geometry might have overlapping zones.

    Thank you, Katherine

    *
    GEOBEGIN =
    COMBINAT
                                   soil geometry =20
    * 1 is an infinite cylinder along the z-axis with a radius of 5000.0 =
    cm.
      ZCC 1 0.0 0.0 5000.0
    *| | | | | | | | |
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789
    * 2 is the volume below the top infinite plane at z =3D 15.0 cm.
      XYP 2 15.0
    *| | | | | | | | |
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789
    * 3 is the volume below the infinite plane at z =3D 0.0 cm.
      XYP 3 0.0
    *| | | | | | | | |
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789
    * 4 is the volume below the infinite plane at z =3D -25.0 cm.
      XYP 4 -25.0
    *| | | | | | | | |
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789
    * 5 is the volume below the infinite plane at z =3D -25.10 cm.
      XYP 5 -25.10 =20
    *| | | | | | | | |
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789
    * 6 is the volume below the bottom infinite plane at z =3D -300.00 cm.
      XYP 6 -300.00 =20
    *| | | | | | | | |
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789
    * 7 is the inner sphere which contains everything except the outside =
    sphere.
      SPH 7 0.0 0.0 0.0 10000.0
    *| | | | | | | | |
    * 8 is the outer sphere which contains everything.
      SPH 8 0.0 0.0 0.0 10800.0
    *| | | | | | | | |
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789
    *
      END
    *
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789
    * | | | | | | | | | | =
    | =20
    * 1 is the upper sphere vacuum, above the top plane.
        1 5 +7 -2
    * | | | | | | | | | | =
    | =20
    * 2 is the lower sphere vacuum, below the bottom plane.
        2 5 +7 +6
    * | | | | | | | | | | =
    | =20
    * 3 is the vacuum outside the cylinder and below the top plane and
    * above the bottom plane and inside the inner sphere.=20
        3 5 -1 +2 -6 +7
    * | | | | | | | | | | =
    | =20
    * 4 is the upper vacuum cylinder above the 0.0 plane, inside the =
    cylinder and
    * below the 15.0 plane.
        4 5 +2 -3 +1
    * | | | | | | | | | | =
    | =20
    * 5 is the lower vacuum cylinder below the material inside the =
    cylinder and
    * above the 300.0 plane.
        5 5 +5 -6 +1
    * | | | | | | | | | | =
    | =20
    * 6 is the material A which is a cylinder.
        6 5 +3 -4 +1
    * | | | | | | | | | | =
    | =20
    * 7 is the material B which is a cylinder.
        7 5 +4 -5 +1
    * | | | | | | | | | | =
    | =20
    * 8 is the outside blackhole inside the outer sphere
    * and inside the touter sphere.
        8 5 -7 +8
    * | | | | | | | | | | =
    | =20
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789
    *
      END
    GEOEND
    *

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    <P><FONT SIZE=3D2>As there was some problem with the file I attached the =
    first time I sent this I am sending it again.&nbsp; For some reason the =
    attachment was put in the message body in encoded form.&nbsp; This time =
    I have sent it using three methods:<BR>
    <BR>
    <BR>
    First: it should be an attached file named geom.txt.<BR>
    <BR>
    <BR>
    Second:&nbsp; It can also be viewed at the link:<BR>
    <BR>
    <A =
    HREF=3D"http://home.earthlink.net/~artsietopology/geom">http://home.earth=
    link.net/~artsietopology/geom</A><BR>
    <BR>
    <BR>
    Or the third alternative is I will put it inline below.<BR>
    <BR>
    The question is:&nbsp; Is the attached geometry well defined?&nbsp; It =
    runs; however, I was told by<BR>
    another FLUKA user that the geometry might have overlapping zones.<BR>
    <BR>
    Thank you, Katherine<BR>
    <BR>
    <BR>
    *<BR>
    GEOBEGIN&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
    ;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
    nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
    bsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
    sp;&nbsp; COMBINAT<BR>
    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
    nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
    bsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; soil =
    geometry&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<BR>
    *&nbsp; 1 is an infinite cylinder along the z-axis with a radius of =
    5000.0 cm.<BR>
    &nbsp; ZCC&nbsp;&nbsp;&nbsp; 1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    0.0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 0.0&nbsp;&nbsp;&nbsp; 5000.0<BR>
    *|&nbsp; |&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |<BR>
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789<BR>
    *&nbsp; 2 is the volume below the top infinite plane at z =3D 15.0 =
    cm.<BR>
    &nbsp; XYP&nbsp;&nbsp;&nbsp; 2&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 15.0<BR>
    *|&nbsp; |&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |<BR>
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789<BR>
    *&nbsp; 3 is the volume below the infinite plane at z =3D 0.0 cm.<BR>
    &nbsp; XYP&nbsp;&nbsp;&nbsp; 3&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    0.0<BR>
    *|&nbsp; |&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |<BR>
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789<BR>
    *&nbsp; 4 is the volume below the infinite plane at z =3D -25.0 cm.<BR>
    &nbsp; XYP&nbsp;&nbsp;&nbsp; 4&nbsp;&nbsp;&nbsp;&nbsp; -25.0<BR>
    *|&nbsp; |&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |<BR>
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789<BR>
    *&nbsp; 5 is the volume below the infinite plane at z =3D&nbsp; -25.10 =
    cm.<BR>
    &nbsp; XYP&nbsp;&nbsp;&nbsp; 5&nbsp;&nbsp;&nbsp; -25.10&nbsp;<BR>
    *|&nbsp; |&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |<BR>
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789<BR>
    *&nbsp; 6 is the volume below the bottom infinite plane at z =3D -300.00 =
    cm.<BR>
    &nbsp; XYP&nbsp;&nbsp;&nbsp; 6&nbsp;&nbsp; -300.00&nbsp;<BR>
    *|&nbsp; |&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |<BR>
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789<BR>
    *&nbsp; 7 is the inner sphere which contains everything except the =
    outside sphere.<BR>
    &nbsp; SPH&nbsp;&nbsp;&nbsp; 7&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    0.0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    0.0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 0.0&nbsp;&nbsp; 10000.0<BR>
    *|&nbsp; |&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |<BR>
    *&nbsp; 8 is the outer sphere which contains everything.<BR>
    &nbsp; SPH&nbsp;&nbsp;&nbsp; 8&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    0.0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    0.0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 0.0&nbsp;&nbsp; 10800.0<BR>
    *|&nbsp; |&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |<BR>
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789<BR>
    *<BR>
    &nbsp; END<BR>
    *<BR>
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789<BR>
    *&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;<BR>
    *&nbsp;&nbsp; 1 is the upper sphere vacuum, above the top plane.<BR>
    &nbsp;&nbsp;&nbsp; 1&nbsp;&nbsp;&nbsp; 5&nbsp;&nbsp;&nbsp;&nbsp; =
    +7&nbsp;&nbsp;&nbsp;&nbsp; -2<BR>
    *&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;<BR>
    *&nbsp;&nbsp; 2 is the lower sphere vacuum, below the bottom plane.<BR>
    &nbsp;&nbsp;&nbsp; 2&nbsp;&nbsp;&nbsp; 5&nbsp;&nbsp;&nbsp;&nbsp; =
    +7&nbsp;&nbsp;&nbsp;&nbsp; +6<BR>
    *&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;<BR>
    *&nbsp;&nbsp; 3 is the vacuum outside the cylinder and below the top =
    plane and<BR>
    *&nbsp;&nbsp;&nbsp;&nbsp; above the bottom plane and inside the inner =
    sphere.<BR>
    &nbsp;&nbsp;&nbsp; 3&nbsp;&nbsp;&nbsp; 5&nbsp;&nbsp;&nbsp;&nbsp; =
    -1&nbsp;&nbsp;&nbsp;&nbsp; +2&nbsp;&nbsp;&nbsp;&nbsp; =
    -6&nbsp;&nbsp;&nbsp;&nbsp; +7<BR>
    *&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;<BR>
    *&nbsp;&nbsp; 4 is the upper vacuum cylinder above the 0.0 plane, inside =
    the cylinder and<BR>
    *&nbsp;&nbsp;&nbsp;&nbsp; below the 15.0 plane.<BR>
    &nbsp;&nbsp;&nbsp; 4&nbsp;&nbsp;&nbsp; 5&nbsp;&nbsp;&nbsp;&nbsp; =
    +2&nbsp;&nbsp;&nbsp;&nbsp; -3&nbsp;&nbsp;&nbsp;&nbsp; +1<BR>
    *&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;<BR>
    *&nbsp;&nbsp; 5 is the lower vacuum cylinder below the material inside =
    the cylinder and<BR>
    *&nbsp;&nbsp;&nbsp;&nbsp; above the 300.0 plane.<BR>
    &nbsp;&nbsp;&nbsp; 5&nbsp;&nbsp;&nbsp; 5&nbsp;&nbsp;&nbsp;&nbsp; =
    +5&nbsp;&nbsp;&nbsp;&nbsp; -6&nbsp;&nbsp;&nbsp;&nbsp; +1<BR>
    *&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;<BR>
    *&nbsp;&nbsp; 6 is the material A which is a cylinder.<BR>
    &nbsp;&nbsp;&nbsp; 6&nbsp;&nbsp;&nbsp; 5&nbsp;&nbsp;&nbsp;&nbsp; =
    +3&nbsp;&nbsp;&nbsp;&nbsp; -4&nbsp;&nbsp;&nbsp;&nbsp; +1<BR>
    *&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;<BR>
    *&nbsp;&nbsp; 7 is the material B which is a cylinder.<BR>
    &nbsp;&nbsp;&nbsp; 7&nbsp;&nbsp;&nbsp; 5&nbsp;&nbsp;&nbsp;&nbsp; =
    +4&nbsp;&nbsp;&nbsp;&nbsp; -5&nbsp;&nbsp;&nbsp;&nbsp; +1<BR>
    *&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;<BR>
    *&nbsp;&nbsp; 8 is the outside blackhole inside the outer sphere<BR>
    *&nbsp;&nbsp;&nbsp;&nbsp; and inside the touter sphere.<BR>
    &nbsp;&nbsp;&nbsp; 8&nbsp;&nbsp;&nbsp; 5&nbsp;&nbsp;&nbsp;&nbsp; =
    -7&nbsp;&nbsp;&nbsp;&nbsp; +8<BR>
    *&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
    |&nbsp;&nbsp;&nbsp;<BR>
    *23456789 123456789 123456789 123456789 123456789 123456789 123456789 =
    123456789<BR>
    *<BR>
    &nbsp; END<BR>
    GEOEND<BR>
    *<BR>
    <BR>
    <BR>
    <BR>
    <BR>
    <BR>
    <BR>
    </FONT>
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