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plotting a plane section in sage

Suppose I have a parametric surface given by three functions in two variables. Moreover, this surface is imbedded in a torus like

sage: p1 = parametric_plot(( a(R + x)cos(z), a(R + y)sin(z), ay ),(p,0,2pi),(q,0,2*pi))

for some a and R.

How one can to plot a section of the surface by a plane with Sage?

plotting a plane section in sage

Suppose I have a parametric surface given by three functions in two variables. Moreover, this surface is imbedded immersed in a solid torus like

sage: p1 = parametric_plot(( a(R + x)cos(z), a(R + y)sin(z), ay ),(p,0,2pi),(q,0,2*pi))

for some a and R.

How one can to plot a section of the surface by a plane with Sage?

plotting a plane section in sage

Suppose I have a parametric surface given by three functions in two variables. Moreover, this surface is immersed in a solid torus like

sage: p1 = parametric_plot(( a(R + + x)cos(z), a(R + y)sin(z), ay y ),(p,0,2pi),(q,0,2*pi))

for some a and R.

How can one can to plot a section of the surface by a plane with Sage?

plotting a plane section in sage

Suppose I have a parametric surface given by three functions in two variables. Moreover, this surface is immersed in a solid torus like

sage: p1 = parametric_plot(( a(R +
  x)cos(z), a(R a*(R + y)sin(z), ay
  ),(p,0,2pi),(q,0,2*pi))

x)*cos(z), a*(R + y)*sin(z), a*y ),(p,0,2*pi),(q,0,2*pi))

for some a and R.

How can one plot a section of the surface by a plane with Sage?

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plotting a plane section in sage

Suppose I have a parametric surface given by three functions in two variables. Moreover, this surface is immersed in a solid torus like

sage: p1 = parametric_plot(( a*(R + x)*cos(z), a*(R + y)*sin(z), a*y ),(p,0,2*pi),(q,0,2*pi))

for some a and R.

How can one plot a section of the surface by a plane with Sage?