R4.
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.
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.
R4.
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.
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