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I'm not sure exactly what you did, but I am a bit concerned by this:<br>
<blockquote><span lang="EN-US"></span>
<p class="MsoNormal"><span lang="EN-US">Then I changed the CRS (<span
style="background-color: yellow;">layer and project</span>)</span></p>
</blockquote>
<p class="MsoNormal"><span lang="EN-US">Try this:</span></p>
<p class="MsoNormal"><span lang="EN-US">Start with a new project</span></p>
<p class="MsoNormal"><span lang="EN-US">Add the Natural Earth Admin
boundaries layer</span></p>
<p class="MsoNormal"><span lang="EN-US">Select
File->Properties->CRS</span></p>
<p class="MsoNormal"><span lang="EN-US">Select Mollweide (or
whatever you want), then click Apply.</span></p>
<p class="MsoNormal"><span lang="EN-US"><br>
</span></p>
<p class="MsoNormal"><span lang="EN-US">Note that we are not
touching the CRS for the layer.<br>
</span></p>
<p class="MsoNormal"><span lang="EN-US"><br>
</span></p>
<p class="MsoNormal"><span lang="EN-US">I get a radically different
projection than WGS 84 (EPSG:4326).<br>
</span></p>
<br>
On 8/17/2021 7:45 PM, Brian Gilhuly wrote:
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<p class="MsoNormal"><span lang="EN-US">I need a world map on
which to display country web statistics and, being in
Canada, want to avoid projections like Mercator with their
northern distortions. Something like Mollweide or Robinson
is more what I am seeking.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">I downloaded the Natural
Earth administrative borders map (WGS84) and opened it in
QGIS 3.20 as the only layer in a new project. So far, so
good.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Then I changed the CRS
(layer and project) to Mollweide (ESRI:54009) and the
on-screen render changed hardly at all. It didn’t remain
unchanged, but it still looks very much more like WGS84 than
Mollweide. The same happens if I try to re-project to
Robinson (ESRI:54030) or Winkel-Tripel (ESRI:54042).<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">So far as I can tell, I
have followed all the steps outlined in the online manual
but there must be something obvious that I am missing.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Can someone set me
straight?<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Thanks,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Brian Gilhuly<o:p></o:p></span></p>
</div>
<br>
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