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27728 Non-rational polytopes: Examples and constructor Jean-Philippe Labbé "Having #25097 at hand, we can now look at more complicated constructions of polytopes.
Perles and Grünbaum gave examples using Gale diagrams, see Section 5.4 of ''Convex polytopes'' of Grünbaum and Section 7 of ''Lectures on Polytopes'' of Ziegler.
Perles configuration and the ''projective construction'' of `sqrt(2)` (see Exercise 4 in §5.4) give several nice examples of non-rational polytopes.
This ticket provides these polytopes and explain the construction in a tutorial." enhancement new major sage-9.8 geometry polytopes, non-rational Winfried Bruns Jean-Philippe Labbé Sebastian Gutsche Matthias Köppe Vincent Delecroix gh-kliem Jean-Philippe Labbé N/A #25097,#29065