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Regina (program)
open-in-new
<h2 id="features">Features</h2> <ul><li>Regina implements a variant of <a href="/facts/Hyam_Rubinstein/jV7gBxg9">Rubinstein's</a> <a href="/facts/3-sphere/u67nImpY">3-sphere</a> recognition algorithm. This is an algorithm that determines whether or not a <a href="/facts/Triangulation_(topology)/u58jNL6L">triangulated</a> <a href="/facts/3-manifold/48yr0Tzx">3-manifold</a> is <a href="/facts/Homeomorphism/jMfWg3Mn">homeomorphic</a> to the <a href="/facts/3-sphere/u67nImpY">3-sphere</a>.</li> <li>Regina further implements the <a href="/facts/Connected_sum/TycjIkQe">connect-sum</a> decomposition. This will decompose a <a href="/facts/Triangulation_(topology)/u58jNL6L">triangulated</a> 3-manifold into a <a href="/facts/Connected_sum/TycjIkQe">connect-sum</a> of <a href="/facts/Triangulation_(topology)/u58jNL6L">triangulated</a> <a href="/facts/Connected_sum/TycjIkQe">prime</a> 3-manifolds.</li> <li><a href="/facts/Simplicial_homology/Tc3I3IJh">Homology</a> and <a href="/facts/Poincare_duality/lwNjUCIa">Poincare duality</a> for 3-manifolds, including the <a href="/facts/Poincare_duality/lwNjUCIa">torsion linking form</a>.</li> <li>Includes portions of the <a href="/facts/SnapPea/hx3QbENv">SnapPea kernel</a> for some geometric calculations.</li> <li>Has both a <a href="/facts/GUI/wBlQFWDP">GUI</a> and <a href="/facts/Python_(programming_language)/YbuGqofa">Python</a> interface.</li></ul> <h2 id="see-also">See also</h2> <ul><li><a href="/facts/Computational_topology/cuWIEkfA">Computational topology</a></li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>"ORMS - Regina". orms.mfo.de. Retrieved 2022-10-11. <a href="https://orms.mfo.de/project@terms=normal+surface+theory&id=336.html" target="_blank">https://orms.mfo.de/project@terms=normal+surface+theory&id=336.html</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> </ol>