#############################
#
#  File:     /../tmp/Downloads/tmp/DiffGeom/MonkeySaddle/monkey_Saddle-parabola-curve.cs
#  Created:  Sun Oct 19 09:40:39 -040027 2025
#  By:       CenterStage v3.2
#

::cs::File Version 3.2


####################

::class::Group Create 3D_Surface {
  {Transform Scale(1,1,1)}
  {selected 1 none}
  {{set z} 0 0 {{{1 0 0} 50 Red} {{1 .5 0} 0     Orange} {{1 1 0} 50 Yellow} {{0 1 0} 50 Green} {{0 1 1} 50 Cyan} {{0 0 1} 50 Blue} {{1 0 1} 50 Purple} {{0 0 0} 0      Black} {{1 1 1} 0      White}} 1}
  {flat 1.0 1 1 0 0 0 0 0 0 0 0 1.0 1}
  {{} {}}
}

####################

::class::Axes Create 3D_Surface/Axes {
  {Length 1

Axes \{x y z\}}
  {always 1 none}
  {{::_color::Function RGB} 0 1 {{{1 0 0} 50 Red} {{1 .5 0} 0     Orange} {{1 1 0} 50 Yellow} {{0 1 0} 50 Green} {{0 1 1} 50 Cyan} {{0 0 1} 50 Blue} {{1 0 1} 50 Purple} {{0 0 0} 0      Black} {{1 1 1} 0      White}} 1}
  {constant 1.0 3 1 0 0 0 0 0 0 0 0 1.0 3}
  {{} {}}
}

####################

::class::Curve Create 3D_Surface/Curve {
  {Domain \{-1 1 101\}

Function \{t\} \{
  let (x,y,z) = (t,t^2,t^3-3*t^5)
\}}
  {always 1 none}
  {{ list 0 0 0} 0 1 {{{1 0 0} 50 Red} {{1 .5 0} 0     Orange} {{1 1 0} 50 Yellow} {{0 1 0} 50 Green} {{0 1 1} 50 Cyan} {{0 0 1} 50 Blue} {{1 0 1} 50 Purple} {{0 0 0} 0      Black} {{1 1 1} 0      White}} 1}
  {flat 1.0 4 1 0 0 0 0 0 0 0 0 1.0 4}
  {{} {}}
  {::cd::Solid}
}

####################

::class::Surface Create 3D_Surface/Surface {
  {Domain \{\{-1 1 100\} \{-1 1 100\}\}

Function \{u v\} \{
  let (x,y,z) = (u, v, u^3-3*u*v^2)
\}
}
  {always 1 none}
  {{set z} 0 1 {{{1 0 0} 50 Red} {{1 .5 0} 0     Orange} {{1 1 0} 50 Yellow} {{0 1 0} 50 Green} {{0 1 1} 50 Cyan} {{0 0 1} 50 Blue} {{1 0 1} 50 Purple} {{0 0 0} 0      Black} {{1 1 1} 0      White}} 0}
  {smooth 1.0 1 1 0 0 0 0 0 0 0 0 1.0 1}
  {{} {}}
  {::sd::Patch 0 0 .25}
}