3D Cone Plots in Julia

How to make 3D Cone plots in Julia with Plotly.

A cone plot is the 3D equivalent of a 2D [quiver plot], i.e., it represents a 3D vector field using cones to represent the direction and norm of the vectors. 3-D coordinates are given by x, y and z, and the coordinates of the vector field by u, v and w.

Basic 3D Cone

using PlotlyJS

plot(
cone(x=[1], y=[1], z=[1], u=[1], v=[1], w=[0]),
Layout(scene_camera_eye=attr(x=-0.76, y=1.8, z=0.92)
))


Multiple 3D Cones

using PlotlyJS

plot(
cone(
x=[1, 2, 3],
y=[1, 2, 3],
z=[1, 2, 3],
u=[1, 0, 0],
v=[0, 3, 0],
w=[0, 0, 2],
sizemode="absolute",
sizeref=2,
anchor="tip"
),
Layout(
scene=attr(
domain_x=[0, 1],
camera_eye=attr(x=-1.57, y=1.36, z=0.58))
)
)


3D Cone Lighting

using PlotlyJS

trace1 = cone(
x=repeat([1,], 3), name="base", y=[1, 2, 3], z=[1, 1, 1],
u=[1, 2, 3], v=[1, 1, 2], w=[4, 4, 1],
hoverinfo="u+v+w+name",
showscale=false
)
trace2 = cone(
x=repeat([2,], 3), opacity=0.3, name="opacity:0.3", y=[1, 2, 3], z=[1, 1, 1],
u=[1, 2, 3], v=[1, 1, 2], w=[4, 4, 1],
hoverinfo="u+v+w+name",
showscale=false
)
trace3 = cone(
x=repeat([3,], 3), lighting_ambient=0.3, name="lighting.ambient:0.3", y=[1, 2, 3], z=[1, 1, 1],
u=[1, 2, 3], v=[1, 1, 2], w=[4, 4, 1],
hoverinfo="u+v+w+name",
showscale=false
)
trace4 = cone(
x=repeat([4,], 3), lighting_diffuse=0.3, name="lighting.diffuse:0.3", y=[1, 2, 3], z=[1, 1, 1],
u=[1, 2, 3], v=[1, 1, 2], w=[4, 4, 1],
hoverinfo="u+v+w+name",
showscale=false
)
trace5 = cone(
x=repeat([5,], 3), lighting_specular=2, name="lighting.specular:2",y=[1, 2, 3], z=[1, 1, 1],
u=[1, 2, 3], v=[1, 1, 2], w=[4, 4, 1],
hoverinfo="u+v+w+name",
showscale=false
)
trace6 = cone(
x=repeat([6,], 3), lighting_roughness=1, name="lighting.roughness:1",y=[1, 2, 3], z=[1, 1, 1],
u=[1, 2, 3], v=[1, 1, 2], w=[4, 4, 1],
hoverinfo="u+v+w+name",
showscale=false
)
trace7 = cone(
x=repeat([7,], 3), lighting_fresnel=2, name="lighting.fresnel:2",y=[1, 2, 3], z=[1, 1, 1],
u=[1, 2, 3], v=[1, 1, 2], w=[4, 4, 1],
hoverinfo="u+v+w+name",
showscale=false
)
trace8 = cone(
x=repeat([8,], 3), lightposition=attr(x=0, y=0, z=1e5),
name="lighting.position x:0,y:0,z:1e5",y=[1, 2, 3], z=[1, 1, 1],
u=[1, 2, 3], v=[1, 1, 2], w=[4, 4, 1],
hoverinfo="u+v+w+name", showscale=false
)

layout = Layout(
scene=attr(
aspectmode="data",
camera_eye=attr(x=0.05, y=-2.6, z=2)
),
margin=attr(t=0, b=0, l=0, r=0)
)

plot([trace1, trace2, trace3, trace4, trace5, trace6, trace7, trace8], layout)

3D Cone Vortex

using PlotlyJS, CSV, DataFrames, HTTP

df = CSV.File(
HTTP.get("https://raw.githubusercontent.com/plotly/datasets/master/vortex.csv").body
) |> DataFrame

plot(cone(
df,
x=:x,
y=:y,
z=:z,
u=:u,
v=:v,
w=:w,
colorscale=colors.Blues_8,
sizemode="absolute",
sizeref=40
),
Layout(
scene=attr(
aspectratio=attr(x=1, y=1, z=0.8),
camera_eye=attr(x=1.2, y=1.2, z=0.6)
)
)
)