stereographic projection. Riemann sphere
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enMaths in a minute: The Riemann sphere
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<div class="field field-name-field-abs-img field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img class="img-responsive" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/26_sep_2013_-_1620/rubensaguilonstereographic.jpg" alt="" /></div></div></div><div class="field field-name-field-abs-txt field-type-text field-label-hidden"><div class="field-items"><div class="field-item even"><p>What happens when you shrink infinity to a point? You get a sphere!</p>
</div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>If you walk around the two-dimensional plane you can keep walking indefinitely in all directions. You could say, in a very hand-wavy and intuitive sense, that there is infinity all around the edge of the plane, only of course you can never get to or see that edge. But still, you could try to imagine what happens if you shrink that infinity-edge to a point. Perhaps this would be a little like tightening the draw string on the rim of a fabric bag. Once you've tightened it, the bag is closed and resembles a deformed sphere.</p></div></div></div><div class="field field-name-taxonomy-vocabulary-1 field-type-taxonomy-term-reference field-label-above"><div class="field-label">tags: </div><div class="field-items"><div class="field-item even"><a href="/content/category/tags/stereographic-projection-riemann-sphere">stereographic projection. Riemann sphere</a></div></div></div>Tue, 01 Oct 2013 09:06:58 +0000mf3445946 at https://plus.maths.org/content