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List:       postgis-users
Subject:    Re: [postgis-users] Topology & Attributes
From:       Ofer Zilberstein <zilberstein.ofer () gmail ! com>
Date:       2015-02-10 17:55:47
Message-ID: CADijfcnkwG-HQoJVr6KDHPpE4bDp97YT+_ehwKNLozCM6d8CYQ () mail ! gmail ! com
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Hi Nicolas,

Thanks for the detailed description that make the unclear clear...

Now I feel ready to implement ...

Your support is a great example for the strength of the open source
community ...

BR.

Ofer

On Tue, Feb 10, 2015 at 11:07 AM, Nicolas Ribot <nicolas.ribot@gmail.com>
wrote:

> Hi Ofer,
>
> Some precisions regarding the query I sent:
>
> A topoGeometry objects stores the following information (
> http://postgis.net/docs/manual-2.1/topogeometry.html):
>
> • topopology_id: id of the topology, as stored in the Topology metadata
> • layer_id : the id of the layer in the topology
> • id: the id of the topogeometry object
> • type: the geometry type (point, line...)
>
> When joining between the Polygon table containing the TopoGeometryObject,
> I used a notation seen on this list to compare 2 values:
> (a, b) = (c, d), equivalent to a = b and c = d.
> The "1" in the first part (pe.parcelle p1 on (1, (p1.topo).id)) is the
> hard-coded (not very smart: I copied a test query I used) identifier of the
> Topology layer in the topology.layer metadata table.
>
> I obtained this value by running:
> select layer_id from topology.layer where schema_name = 'pe' and
> table_name = 'parcelle;
>
> So, in your case, check the layer_id of the department table and use this
> value.
>
> Nicolas
>
>
> On 9 February 2015 at 21:18, Ofer Zilberstein <zilberstein.ofer@gmail.com>
> wrote:
>
>> Hi,
>>
>> 1. I advanced ...and I used the  topology.toTopoGeom() and now
>> the relation is populated.
>>
>> 2. I try to understand the following join
>>
>> *pe.parcelle** p1 on (1, (p1.topo).id) *= (r1.layer_id, r1.topogeo_id)
>>
>> the second part of the join is clear -- comes from the relation table
>> however the first part - is not so clear
>>
>> according to you - "parcelle is the polygon table with a topo column
>> containing the TopoGeometry object corresponding to the polygon" (you have
>> used here pe.parcelle - is it the table name ? )
>>
>> so if in my case I have table 'department' with column 'topogeom' it
>> would look like
>>
>> department d1 on (1,(d1.topogeom).id) = (r1.layer_id, r1.topogeo_id) ?
>>
>>
>> Ofer
>>
>>
>>
>>
>>
>> On Mon, Feb 9, 2015 at 3:52 PM, Ofer Zilberstein <
>> zilberstein.ofer@gmail.com> wrote:
>>
>>> Hi Nicolas,
>>>
>>> 1. I used  ST_CreateTopoGeo()  to build the topology (not the topology.toTopoGeom()
>>> as you mentioned )
>>>
>>> When I look at the relation table its empty ? should I use  topology.toTopoGeom()
>>> instead, and it will populate it ?
>>>
>>> 2. can you explain what the parentheses (special the 1, ...) part mean...
>>>
>>> join pe.parcelle p1 on *(1, (p1.topo).id)* = (r1.layer_id,
>>> r1.topogeo_id)
>>>
>>> Thanks in advanced ...
>>>
>>> Ofer
>>>
>>> On Mon, Feb 9, 2015 at 11:05 AM, Nicolas Ribot <nicolas.ribot@gmail.com>
>>> wrote:
>>>
>>>> Hi,
>>>>
>>>> As usual with SQL, there must be several other ways to perform the same
>>>> query.
>>>>
>>>> As the edge view stores 2 faces id per row (left and right), I
>>>> duplicated the joins to join both left_face and right face against the
>>>> original polygon table (p1 and p2 aliases)
>>>>
>>>> Nicolas
>>>>
>>>> On 8 February 2015 at 21:57, Ofer Zilberstein <
>>>> zilberstein.ofer@gmail.com> wrote:
>>>>
>>>>> Much Thanks,
>>>>>
>>>>> First I will try to understand the join that you did and then try to
>>>>> implement it...
>>>>>
>>>>> Ofer
>>>>>
>>>>> On Sun, Feb 8, 2015 at 12:44 PM, Nicolas Ribot <
>>>>> nicolas.ribot@gmail.com> wrote:
>>>>>
>>>>>> Hi,
>>>>>>
>>>>>> When you build the topology, for instance with topology.toTopoGeom(),
>>>>>> you get back a TopoGeometry object for each polygon added to the topology.
>>>>>> This TopoGeometry is used to keep a link between your polygon object
>>>>>> and all the topological elements composing it.
>>>>>> The "relation" table inside the topo schema holding the topology
>>>>>> contains the identifier of the topoGeometry object and the identifiers of
>>>>>> topo elements composing the polygon.
>>>>>>
>>>>>> To get the right and left original polygons from the topology, you
>>>>>> make a join between edge, relation and pg table:
>>>>>> (topo_grass is the topo schema, parcelle is the polygon table with a
>>>>>> topo column containing the TopoGeometry object corresponding to the
>>>>>> polygon):
>>>>>>
>>>>>> select e.edge_id, e.left_face, e.right_face,
>>>>>>   p1.id as left_id, p2.id as right_id
>>>>>> from topo_grass.edge e
>>>>>>   join topo_grass.relation r1 on r1.element_id = e.left_face
>>>>>>   join pe.parcelle p1 on (1, (p1.topo).id) = (r1.layer_id, r1.topogeo_id)
>>>>>>   join topo_grass.relation r2 on r2.element_id = e.right_face
>>>>>>   join pe.parcelle p2 on (1, (p2.topo).id) = (r2.layer_id, r2.topogeo_id);
>>>>>>
>>>>>> Nicolas
>>>>>>
>>>>>>
>>>>>>
>>>>>> On 8 February 2015 at 10:29, Ofer Zilberstein <
>>>>>> zilberstein.ofer@gmail.com> wrote:
>>>>>>
>>>>>>>
>>>>>>> Hi,
>>>>>>>
>>>>>>> When you build topology from set of connected polygons, the original
>>>>>>> polygon attributes are not part of the topology model. The model creates
>>>>>>> MBR face for each original polygon.
>>>>>>>
>>>>>>> The edges hold the left & right faces.
>>>>>>>
>>>>>>> How or what is the right way to add to the edges the right and left
>>>>>>> original polygons ?
>>>>>>>
>>>>>>> --
>>>>>>>
>>>>>>> *Ofer Zilberstein*
>>>>>>>
>>>>>>>     Mobile: 972-544886873
>>>>>>>
>>>>>>>     Skype: ofer.zilberstein
>>>>>>>
>>>>>>>     Mail: zilberstein.ofer@gmail.com
>>>>>>>
>>>>>>> _______________________________________________
>>>>>>> postgis-users mailing list
>>>>>>> postgis-users@lists.osgeo.org
>>>>>>> http://lists.osgeo.org/cgi-bin/mailman/listinfo/postgis-users
>>>>>>>
>>>>>>
>>>>>>
>>>>>> _______________________________________________
>>>>>> postgis-users mailing list
>>>>>> postgis-users@lists.osgeo.org
>>>>>> http://lists.osgeo.org/cgi-bin/mailman/listinfo/postgis-users
>>>>>>
>>>>>
>>>>>
>>>>>
>>>>> --
>>>>>
>>>>> *Ofer Zilberstein*
>>>>>
>>>>>     Mobile: 972-544886873
>>>>>
>>>>>     Skype: ofer.zilberstein
>>>>>
>>>>>     Mail: zilberstein.ofer@gmail.com
>>>>>
>>>>> _______________________________________________
>>>>> postgis-users mailing list
>>>>> postgis-users@lists.osgeo.org
>>>>> http://lists.osgeo.org/cgi-bin/mailman/listinfo/postgis-users
>>>>>
>>>>
>>>>
>>>> _______________________________________________
>>>> postgis-users mailing list
>>>> postgis-users@lists.osgeo.org
>>>> http://lists.osgeo.org/cgi-bin/mailman/listinfo/postgis-users
>>>>
>>>
>>>
>>>
>>> --
>>>
>>> *Ofer Zilberstein*
>>>
>>>     Mobile: 972-544886873
>>>
>>>     Skype: ofer.zilberstein
>>>
>>>     Mail: zilberstein.ofer@gmail.com
>>>
>>
>>
>>
>> --
>>
>> *Ofer Zilberstein*
>>
>>     Mobile: 972-544886873
>>
>>     Skype: ofer.zilberstein
>>
>>     Mail: zilberstein.ofer@gmail.com
>>
>> _______________________________________________
>> postgis-users mailing list
>> postgis-users@lists.osgeo.org
>> http://lists.osgeo.org/cgi-bin/mailman/listinfo/postgis-users
>>
>
>
> _______________________________________________
> postgis-users mailing list
> postgis-users@lists.osgeo.org
> http://lists.osgeo.org/cgi-bin/mailman/listinfo/postgis-users
>



-- 

*Ofer Zilberstein*

    Mobile: 972-544886873

    Skype: ofer.zilberstein

    Mail: zilberstein.ofer@gmail.com

[Attachment #5 (text/html)]

<div dir="ltr"><div>Hi Nicolas,</div><div><br></div><div>Thanks for the detailed \
description that make the unclear clear...</div><div><br></div><div>Now I feel ready \
to implement ...<br></div><div><br></div><div>Your support is a great example for the \
strength of the open source community \
...</div><div><br></div><div>BR.</div><div><br></div><div>Ofer</div></div><div \
class="gmail_extra"><br><div class="gmail_quote">On Tue, Feb 10, 2015 at 11:07 AM, \
Nicolas Ribot <span dir="ltr">&lt;<a href="mailto:nicolas.ribot@gmail.com" \
target="_blank">nicolas.ribot@gmail.com</a>&gt;</span> wrote:<br><blockquote \
class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc \
solid;padding-left:1ex"><div dir="ltr">Hi Ofer,<div><br></div><div>Some precisions \
regarding the query I sent:</div><div><br></div><div>A topoGeometry objects stores \
the following information (<a \
href="http://postgis.net/docs/manual-2.1/topogeometry.html" \
target="_blank">http://postgis.net/docs/manual-2.1/topogeometry.html</a>):</div><div><br></div><div>• \
topopology_id: id of the topology, as stored in the Topology metadata</div><div>• \
layer_id : the id of the layer in the topology<br></div><div>• id: the id of the \
topogeometry object</div><div>• type: the geometry type (point, \
line...)</div><div><br></div><div>When joining between the Polygon table containing \
the TopoGeometryObject, I used a notation seen on this list to compare 2 \
values:</div><div>(a, b) = (c, d), equivalent to a = b and c = d.</div><div>The \
&quot;1&quot; in the first part (pe.parcelle p1 on (1, (p1.topo).id)) is the \
hard-coded (not very smart: I copied a test query I used) identifier of the Topology \
layer in the topology.layer metadata table.</div><div><br></div><div>I obtained this \
value by running:</div><div>select layer_id from topology.layer where schema_name = \
&#39;pe&#39; and table_name = &#39;parcelle;</div><div><br></div><div>So, in your \
case, check the layer_id of the department table and use this value.</div><span \
class="HOEnZb"><font \
color="#888888"><div><br></div><div>Nicolas</div><div><br></div></font></span></div><div \
class="HOEnZb"><div class="h5"><div class="gmail_extra"><br><div \
class="gmail_quote">On 9 February 2015 at 21:18, Ofer Zilberstein <span \
dir="ltr">&lt;<a href="mailto:zilberstein.ofer@gmail.com" \
target="_blank">zilberstein.ofer@gmail.com</a>&gt;</span> wrote:<br><blockquote \
class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc \
solid;padding-left:1ex"><div dir="ltr">Hi,<div><br></div><div>1. I advanced ...and I \
used the  <span style="font-size:12.8000001907349px">  topology.toTopoGeom() and now \
the  relation is populated.</span><span style="font-size:12.8000001907349px">  \
</span></div><div><span \
style="font-size:12.8000001907349px"><br></span></div><div><span \
style="font-size:12.8000001907349px">2. I try to understand the  following  join  \
</span></div><span><div><span \
style="font-size:12.8000001907349px"><br></span></div><div><span \
style="font-size:large;line-height:11.5200004577637px;font-family:Calibri;color:black"><b>pe.parcelle</b></span><span \
style="font-size:large;line-height:11.5200004577637px;font-family:Calibri;color:black"><b> \
p1 on  (1, (p1.topo).id)  </b>= (r1.layer_id, r1.topogeo_id)</span><span \
style="font-size:12.8000001907349px"><br></span></div><div><span \
style="font-size:large;line-height:11.5200004577637px;font-family:Calibri;color:black"><br></span></div></span><div><font \
color="#000000" face="Calibri" size="4"><span \
style="line-height:11.5200004577637px">the second part of the join is clear -- comes \
from the relation table</span></font></div><div><font color="#000000" face="Calibri" \
size="4"><span style="line-height:11.5200004577637px">however the first part - is not \
so clear</span></font></div><div><font color="#000000" face="Calibri" size="4"><span \
style="line-height:11.5200004577637px"><br></span></font></div><div><span \
style="font-size:12.8000001907349px">according to you - &quot;parcelle is the polygon \
table with a topo column containing the TopoGeometry object corresponding to the \
polygon&quot; (you have used here pe.parcelle - is it the table name ? \
)</span><br></div><div><span \
style="font-size:12.8000001907349px"><br></span></div><div><span \
style="font-size:12.8000001907349px">so if in my case I have table \
&#39;department&#39; with column &#39;topogeom&#39; it would look \
like</span><br></div><div><span \
style="font-size:12.8000001907349px"><br></span></div><div><span \
style="font-size:12.8000001907349px">department d1 on (1,(d1.topogeom).id) =  \
</span><span style="color:rgb(0,0,0);font-family:Calibri;font-size:large;line-height:11.5200004577637px">(r1.layer_id, \
r1.topogeo_id) ?</span><span><font color="#888888"><span \
style="font-size:12.8000001907349px"><br></span></font></span></div><span><font \
color="#888888"><div><br></div><div><span \
style="font-size:12.8000001907349px"><br></span></div><div><span \
style="font-size:12.8000001907349px">Ofer  </span></div><div><font color="#000000" \
face="Calibri" size="4"><span \
style="line-height:11.5200004577637px"><br></span></font></div><div><font \
color="#000000" face="Calibri" size="4"><span style="line-height:11.5200004577637px"> \
</span></font></div><div><span \
style="font-size:large;line-height:11.5200004577637px;font-family:Calibri;color:black"><br></span></div><div><span \
style="font-size:large;line-height:11.5200004577637px;font-family:Calibri;color:black"><br></span></div></font></span></div><div><div><div \
class="gmail_extra"><br><div class="gmail_quote">On Mon, Feb 9, 2015 at 3:52 PM, Ofer \
Zilberstein <span dir="ltr">&lt;<a href="mailto:zilberstein.ofer@gmail.com" \
target="_blank">zilberstein.ofer@gmail.com</a>&gt;</span> wrote:<br><blockquote \
class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc \
solid;padding-left:1ex"><div dir="ltr">Hi Nicolas,<div><br></div><div>1. I used   \
ST_CreateTopoGeo()   to build the topology (not the  <span \
style="font-size:12.8000001907349px">topology.toTopoGeom() as you mentioned \
)</span></div><div><span \
style="font-size:12.8000001907349px"><br></span></div><div><span \
style="font-size:12.8000001907349px">When I look at the relation table its empty ? \
should I use  </span>  <span \
style="font-size:12.8000001907349px">topology.toTopoGeom() instead, and it will \
populate it ?</span></div><div><span \
style="font-size:12.8000001907349px"><br></span></div><div><span \
style="font-size:12.8000001907349px">2. can you explain what the parentheses  \
(special  the 1, ...) part mean...</span></div><span><div><span \
style="font-size:12.8000001907349px"><br></span></div><div><p \
style="line-height:90%;margin-top:10pt;margin-bottom:0pt;margin-left:0in;text-indent:0in;direction:ltr;word-break:normal"><font \
size="4"><span style="font-family:Calibri;color:black">join </span><span \
style="font-family:Calibri;color:black">pe.parcelle</span><span \
style="font-family:Calibri;color:black"> p1 on <b>(1, (p1.topo).id)</b> = \
(r1.layer_id, r1.topogeo_id)</span></font></p></div><div><span \
style="font-size:12.8000001907349px"><br></span></div></span><div><span \
style="font-size:12.8000001907349px">Thanks in advanced ...</span></div><span><font \
color="#888888"><div><span \
style="font-size:12.8000001907349px"><br></span></div><div><span \
style="font-size:12.8000001907349px">Ofer</span></div></font></span></div><div><div><div \
class="gmail_extra"><br><div class="gmail_quote">On Mon, Feb 9, 2015 at 11:05 AM, \
Nicolas Ribot <span dir="ltr">&lt;<a href="mailto:nicolas.ribot@gmail.com" \
target="_blank">nicolas.ribot@gmail.com</a>&gt;</span> wrote:<br><blockquote \
class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc \
solid;padding-left:1ex"><div dir="ltr">Hi,<div><br></div><div>As usual with SQL, \
there must be several other ways to perform the same \
query.</div><div><br></div><div>As the edge view stores 2 faces id per row (left and \
right), I duplicated the joins to join both left_face and right face against the \
original polygon table (p1 and p2 aliases)</div><span><font \
color="#888888"><div><br></div><div>Nicolas</div></font></span></div><div><div><div \
class="gmail_extra"><br><div class="gmail_quote">On 8 February 2015 at 21:57, Ofer \
Zilberstein <span dir="ltr">&lt;<a href="mailto:zilberstein.ofer@gmail.com" \
target="_blank">zilberstein.ofer@gmail.com</a>&gt;</span> wrote:<br><blockquote \
class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc \
solid;padding-left:1ex"><div dir="ltr">Much Thanks,<div><br></div><div>First I will \
try to understand the join that you did and then try to implement \
it...</div><span><font \
color="#888888"><div><br></div><div>Ofer</div></font></span></div><div><div><div \
class="gmail_extra"><br><div class="gmail_quote">On Sun, Feb 8, 2015 at 12:44 PM, \
Nicolas Ribot <span dir="ltr">&lt;<a href="mailto:nicolas.ribot@gmail.com" \
target="_blank">nicolas.ribot@gmail.com</a>&gt;</span> wrote:<br><blockquote \
class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc \
solid;padding-left:1ex"><div dir="ltr">Hi,<div><br></div><div>When you build the \
topology, for instance with  topology.toTopoGeom(), you get back a TopoGeometry \
object for each polygon added to the topology.</div><div>This TopoGeometry is used to \
keep a link between your polygon object and all the topological elements composing \
it.  </div><div>The &quot;relation&quot; table inside the topo schema holding the \
topology contains the identifier of the topoGeometry object and the identifiers of \
topo elements composing the polygon.</div><div><br></div><div>To get the right and \
left original polygons from the topology, you make a join between edge, relation and \
pg table:  </div><div>(topo_grass is the topo schema, parcelle is the polygon table \
with a topo column containing the TopoGeometry object corresponding to the \
polygon):</div><div><pre \
style="color:rgb(169,183,198);font-family:Menlo;background-color:rgb(43,43,43)"><font \
size="1"><span style="color:rgb(204,120,50);font-weight:bold;background-color:rgb(62,56,80)">select \
</span><span style="background-color:rgb(62,56,80)">e.edge_id</span><span \
style="color:rgb(204,120,50);background-color:rgb(62,56,80)">, </span><span \
style="background-color:rgb(62,56,80)">e.left_face</span><span \
style="color:rgb(204,120,50);background-color:rgb(62,56,80)">, </span><span \
style="background-color:rgb(62,56,80)">e.right_face</span><span \
style="color:rgb(204,120,50);background-color:rgb(62,56,80)">,</span><span \
style="color:rgb(204,120,50)"><br></span><span style="color:rgb(204,120,50)">  \
</span>p1.<span style="color:rgb(208,208,255);font-weight:bold">id </span><span \
style="color:rgb(204,120,50);font-weight:bold">as </span>left_id<span \
style="color:rgb(204,120,50)">, </span>p2.<span \
style="color:rgb(208,208,255);font-weight:bold">id </span><span \
style="color:rgb(204,120,50);font-weight:bold">as </span>right_id<br><span \
style="color:rgb(204,120,50);font-weight:bold">from </span>topo_grass.edge e<br>  \
<span style="color:rgb(204,120,50);font-weight:bold">join </span>topo_grass.relation \
r1 <span style="color:rgb(204,120,50);font-weight:bold">on </span>r1.<span \
style="color:rgb(208,208,255);font-weight:bold">element_id </span>= e.<span \
style="color:rgb(208,208,255);font-weight:bold">left_face<br></span><span \
style="color:rgb(208,208,255);font-weight:bold">  </span><span \
style="color:rgb(204,120,50);font-weight:bold">join </span>pe.parcelle p1 <span \
style="color:rgb(204,120,50);font-weight:bold">on </span>(<span \
style="color:rgb(104,151,187)">1</span><span style="color:rgb(204,120,50)">, \
</span>(p1.<span style="color:rgb(208,208,255);font-weight:bold">topo</span>).<span \
style="color:rgb(208,208,255);font-weight:bold">id</span>) = (r1.<span \
style="color:rgb(208,208,255);font-weight:bold">layer_id</span><span \
style="color:rgb(204,120,50)">, </span>r1.<span \
style="color:rgb(208,208,255);font-weight:bold">topogeo_id</span>)<br>  <span \
style="color:rgb(204,120,50);font-weight:bold">join </span>topo_grass.relation r2 \
<span style="color:rgb(204,120,50);font-weight:bold">on </span>r2.<span \
style="color:rgb(208,208,255);font-weight:bold">element_id </span>= e.<span \
style="color:rgb(208,208,255);font-weight:bold">right_face<br></span><span \
style="color:rgb(208,208,255);font-weight:bold;background-color:rgb(62,56,80)">  \
</span><span style="color:rgb(204,120,50);font-weight:bold;background-color:rgb(62,56,80)">join \
</span><span style="background-color:rgb(62,56,80)">pe.parcelle p2 </span><span \
style="color:rgb(204,120,50);font-weight:bold;background-color:rgb(62,56,80)">on \
</span><span style="background-color:rgb(62,56,80)">(</span><span \
style="color:rgb(104,151,187);background-color:rgb(62,56,80)">1</span><span \
style="color:rgb(204,120,50);background-color:rgb(62,56,80)">, </span><span \
style="background-color:rgb(62,56,80)">(p2.topo).id) = (r2.layer_id</span><span \
style="color:rgb(204,120,50);background-color:rgb(62,56,80)">, </span><span \
style="background-color:rgb(62,56,80)">r2.topogeo_id)</span><span \
style="color:rgb(204,120,50)">;</span></font></pre></div><div>Nicolas</div><div><br></div><div><br></div></div><div \
class="gmail_extra"><br><div class="gmail_quote"><div><div>On 8 February 2015 at \
10:29, Ofer Zilberstein <span dir="ltr">&lt;<a \
href="mailto:zilberstein.ofer@gmail.com" \
target="_blank">zilberstein.ofer@gmail.com</a>&gt;</span> \
wrote:<br></div></div><blockquote class="gmail_quote" style="margin:0 0 0 \
.8ex;border-left:1px #ccc solid;padding-left:1ex"><div><div><div dir="ltr"><br \
clear="all"><div>Hi,</div><div><br></div><div>When you build topology from set of \
connected polygons, the original polygon attributes are not part of the topology \
model. The model creates MBR face for each original polygon.  \
</div><div><br></div><div>The edges hold the left &amp; right \
faces.</div><div><br></div><div>How or what is the right way to add to the edges the \
right and left original polygons ?</div><span><font color="#888888"><div><br></div>-- \
<br><div><div dir="ltr"><p><span \
style="font-size:10pt;font-family:Arial,sans-serif"><b>Ofer \
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Mobile: <a href="tel:972-544886873" value="+972544886873" \
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Skype: ofer.zilberstein</span></p><p><span \
style="font-size:9pt;line-height:14px;font-family:Arial,sans-serif;color:rgb(95,95,95)"> \
Mail:  <a href="mailto:zilberstein.ofer@gmail.com" \
target="_blank">zilberstein.ofer@gmail.com</a></span></p></div></div> \
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clear="all"><div><br></div>-- <br><div><div dir="ltr"><p><span \
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Mobile: <a href="tel:972-544886873" value="+972544886873" \
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clear="all"><div><br></div>-- <br><div><div dir="ltr"><p><span \
style="font-size:10pt;font-family:Arial,sans-serif"><b>Ofer \
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Mobile: <a href="tel:972-544886873" value="+972544886873" \
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dir="ltr"><p><span style="font-size:10pt;font-family:Arial,sans-serif"><b>Ofer \
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Mail:  <a href="mailto:zilberstein.ofer@gmail.com" \
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clear="all"><div><br></div>-- <br><div class="gmail_signature"><div \
dir="ltr"><p><span style="font-size:10pt;font-family:Arial,sans-serif"><b>Ofer \
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Mobile: 972-544886873<u></u></span></p><p><span \
style="font-size:9pt;line-height:14px;font-family:Arial,sans-serif;color:rgb(95,95,95)"> \
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style="font-size:9pt;line-height:14px;font-family:Arial,sans-serif;color:rgb(95,95,95)"> \
Mail:  <a href="mailto:zilberstein.ofer@gmail.com" \
target="_blank">zilberstein.ofer@gmail.com</a></span></p></div></div> </div>



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