# From Joe Christy:
# <<Graphics/ParametricPlot3D.m
# 
# The representation is from Jean Dieudonne, Treatise on Analysis,
# vol. III, problem 15, Ch. XVI.25, p. 192  (see also Ch. XV.14.10, p. 98).
# 
# a= 2;
# f= (a + Cos[u/2] Sin[t] - Sin[u/2] Sin[2 t]) Cos[u];
# g= (a + Cos[u/2] Sin[t] - Sin[u/2] Sin[2 t]) Sin[u];
# h= Sin[u/2] Sin[t] + Cos[u/2] Sin[2 t];
# 
# KleinBottle = 
#         ParametricPlot3D[{f,g,h},
#                          {t,0,2Pi,Pi/24}, {u,0,2Pi,Pi/24}];
# 
# 
# Show[KleinBottle,Boxed->False]
# 
OFF
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