HI
SageMath 9.5 Ubuntu WSL2
arrow3d only is ok in plot3d.
arrow3d with 3d function not displayed in plot3d.
but arrow3d with 3d function is ok with implicit_plot3d.
var('x,y,z')
legend_label='f(x,y)'
def addAxis(plt) :
# add axis for real part
plt += arrow3d((0, 0, 0), (xBound, 0, 0), color='blue')
plt += text3d("X", (xBound, 0, 0), color='blue')
plt += arrow3d((0, 0, 0), (0, yBound, 0), color='green')
plt += text3d("Y", (0, yBound, 0), color='green')
plt += arrow3d((0, 0, 0), (0, 0, zBound), color='red')
plt += text3d("Z", (0,0, zBound), color='red')
plt += text3d(legend_label, (xBound,yBound, 0), color='red', fontsize=20,fontweight='bold',fontstyle='italic')
return plt
xBound=2 ; yBound=2 ; zBound=2
f(x,y)=162*x^3*y
plt=Graphics()
plt=addAxis(plt)
# 3 arrows only
show(plt,viewer='threejs',figsize=8)
plt=addAxis(plt)
plt += plot3d(f(x,y),(x,-xBound,xBound),(y,-yBound,yBound), frame=False, color='purple', opacity=0.6)
#zBound=3
#plt += plot3d(f(x,y),(x,-xBound,xBound),(y,-yBound,yBound),(z,-zBound,zBound), frame=False, color='purple', opacity=0.6)
plt=addAxis(plt)
# 3 arrows+function plot
show(plt,viewer='threejs', figsize=8)
plt=Graphics()
plt=addAxis(plt)
plt += implicit_plot3d(f(x,y)-z,(x,-xBound,xBound),(y,-yBound,yBound),(z,-zBound,zBound), frame=False, color='purple', opacity=0.6)
show(plt,viewer='threejs', figsize=8)
