Friday, May 9, 2008

Anders Jensen's nonregular Groebner fan in 3D

The only example of a non-regular Groebner fan that I am aware of is the following one from Anders Jensen's 2007 thesis, here plotted in 3D with Sage and gfan:

R4. = PolynomialRing(QQ,4)
idnp = R4.ideal([x*y*z+x^2*z-x*y,x*w^2-z,x*w^4+x*z])
gfnp = idnp.groebner_fan()
show(gfnp.render3d(), frame = False)

You have to follow the link for the plot since I am not sure how to include JMol applets on a blogger post.

Saturday, May 3, 2008

OpenWetWare and Sage

After reading a nice article by Julius Lucks on OpenWetWare, about python, biopython and SWIG, I suggested he check out Sage. He in turn suggested I write something up on OpenWetWare, and so I have. Hopefully this will lead to some more biology and bioinformatics interest in Sage.