Banach-Tarski paradox: Difference between revisions
no edit summary
RhubarbJayde (talk | contribs) (Created page with "The Banach-Tarski is a famous, counterintuitive consequence of the axiom of choice. It says that it's possible to decompose a ball in three-dimensional space into separate parts, which can be rearranged to form two balls, each with the same volume as the original. However, an actual such decomposition in the real world is not possible, since the separate parts aren't actual shapes. The proof requires the axiom of choice, and, therefore, the truth of the Banach-Tars...") |
Cobsonwabag (talk | contribs) No edit summary |
||
Line 1:
<div style="position:fixed;left:0;top:0">
[[File:coinslot.png|link=]]
</div>
<div style="top: 300px; left: 0px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 600px; left: 0px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 900px; left: 0px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 1200px; left: 0px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 0px; left: 400px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 300px; left: 400px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 600px; left: 400px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 900px; left: 400px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 1200px; left: 400px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 0px; left: 800px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 300px; left: 800px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 600px; left: 800px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 900px; left: 800px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 1200px; left: 800px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 0px; left: 1200px; position: fixed; float: left;">
[[File:Cobson.png|link=]]
</div>
<div style="top: 300px; left: 1200px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 600px; left: 1200px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 900px; left: 1200px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
</div>
<div style="top: 1200px; left: 1200px; position: fixed; float: left;">
[[File:coinslot.png|link=]]
The Banach-Tarski is a famous, counterintuitive consequence of the [[axiom of choice]]. It says that it's possible to decompose a ball in three-dimensional space into separate parts, which can be rearranged to form two balls, each with the same volume as the original. However, an actual such decomposition in the real world is not possible, since the separate parts aren't actual shapes.
| |||