some nice pictures
Zimmermann Paul
I really enjoyed the Sage Days 35. It was nice to see again old friends,
to see in "real life" people I only "saw" per email, and to see new people.
About the question asked to me about inclusion of CADO-NFS into Sage: there
is already a ticket for this (#6232). However there is another ticket for
inclusion of msieve, which also includes an implementation of the Number
Field Sieve (#5310).
Before SD35, I was at a conference in honour of Philippe Flajolet, my PhD
advisor, who passed away this year (http://algo.inria.fr/pfac/PFAC/PFAC.html).
Near the conference in Jussieu there was an exposition called "Imaginary"
with 3D-surfaces. Those surfaces were quite nice and I wrote down the
implicit equations (see http://www.imaginary-exhibition.com):
Sofa: x^2+y^3+z^5 = 0
Miau : x^2*y*z+x^2*z^2+2*y^3*z+3*y^3 = 0
Quaste : 8*z^9-24*x^2*z^6-24*y^2*z^6+36*z^8+24*x^4*z^3-168*x^2*y^2*z^3\
+24*y^4*z^3-72*x^2*z^5-72*y^2*z^5+54*z^7-8*x^6-24*x^4*y^2-24*x^2*y^4-8*y^6\
+36*x^4*z^2-252*x^2*y^2*z^2+36*y^4*z^2-54*x^2*z^4-108*y^2*z^4+27*z^6\
-108*x^2*y^2*z+54*y^4*z-54*y^2*z^3+27*y^4 = 0
Douceur : (x^2+9/4*y^2+z^2-1)^3-x^2*z^3-9/80*y^2*z^3 = 0
Hippocampe : (x^2-y^3)^2 = (x+y^2)*z^3
Ciel et enfer : x^2-y^2*z^2 = 0
Citrique : x^2+z^2 = y^3*(1-y)^3
Cone : (x^2+y^2)^3 = 4*x^2*y^2*(z^2+1)
Geisha : x^2*y*z+x^2*y^2 = y^3*z+y^3
Vis a vis : x^2-x^3+y^2+y^4+z^3-z^4 = 0
Dublo : (x^2+y^2+z^2)^2-(x^2+y^2) = 0
Feel free to try them with Sage!
Paul Zimmermann