# 3D Scatter Plots in MATLAB®

How to make 3D Scatter Plots plots in MATLAB® with Plotly.

## Create 3-D Scatter Plot

Create a 3-D scatter plot. Use sphere to define vectors x, y, and z.

figure
[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];
scatter3(x,y,z)

fig2plotly(gcf);


## Vary Marker Size

Use sphere to define vectors x, y, and z.

[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];


Define vector s to specify the marker sizes.

[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];

S = repmat([100,50,5],numel(X),1);
s = S(:);


Create a 3-D scatter plot and use view to change the angle of the axes in the figure.

[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];

S = repmat([100,50,5],numel(X),1);
s = S(:);

figure
scatter3(x,y,z,s)
view(40,35)

fig2plotly(gcf);


Corresponding entries in x, y, z, and s determine the location and size of each marker.

## Vary Marker Color

Use sphere to define vectors x, y, and z.

[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];


Define vectors s and c to specify the size and color of each marker.

[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];

S = repmat([50,25,10],numel(X),1);
C = repmat([1,2,3],numel(X),1);
s = S(:);
c = C(:);


Create a 3-D scatter plot and use view to change the angle of the axes in the figure.

[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];

S = repmat([50,25,10],numel(X),1);
C = repmat([1,2,3],numel(X),1);
s = S(:);
c = C(:);

figure
scatter3(x,y,z,s,c)
view(40,35)

fig2plotly(gcf);


Corresponding entries in x, y, z, and c determine the location and color of each marker.

## Fill in Markers

Create vectors x and y as cosine and sine values with random noise.

z = linspace(0,4*pi,250);
x = 2*cos(z) + rand(1,250);
y = 2*sin(z) + rand(1,250);


Create a 3-D scatter plot and fill in the markers. Use view to change the angle of the axes in the figure.

z = linspace(0,4*pi,250);
x = 2*cos(z) + rand(1,250);
y = 2*sin(z) + rand(1,250);

scatter3(x,y,z,'filled')
view(-30,10)

fig2plotly(gcf);


## Set Marker Type

Initialize the random-number generator to make the output of rand repeatable. Define vectors x and y as cosine and sine values with random noise.

rng default
z = linspace(0,4*pi,250);
x = 2*cos(z) + rand(1,250);
y = 2*sin(z) + rand(1,250);


Create a 3-D scatter plot and set the marker type. Use view to change the angle of the axes in the figure.

rng default
z = linspace(0,4*pi,250);
x = 2*cos(z) + rand(1,250);
y = 2*sin(z) + rand(1,250);

figure
scatter3(x,y,z,'*')
view(-30,10)

fig2plotly(gcf);


## Set Marker Properties

Initialize the random-number generator to make the output of rand repeatable. Define vectors x and y as cosine and sine values with random noise.

rng default
z = linspace(0,4*pi,250);
x = 2*cos(z) + rand(1,250);
y = 2*sin(z) + rand(1,250);


Create a 3-D scatter plot and set the marker edge color and the marker face color. Use view to change the angle of the axes in the figure.

rng default
z = linspace(0,4*pi,250);
x = 2*cos(z) + rand(1,250);
y = 2*sin(z) + rand(1,250);

figure
scatter3(x,y,z,...
'MarkerEdgeColor','k',...
'MarkerFaceColor',[0 .75 .75])
view(-30,10)

fig2plotly(gcf);


## Specify Axes for 3-D Scatter Plot

Starting in R2019b, you can display a tiling of plots using the tiledlayout and nexttile functions.

Load the seamount data set to get vectors x, y, and z. Call the tiledlayout function to create a 2-by-1 tiled chart layout. Call the nexttile function to create the axes objects ax1 and ax2. Then create separate scatter plots in the axes by specifying the axes object as the first argument to scatter3.

load seamount
tiledlayout(2,1)
ax1 = nexttile;
ax2 = nexttile;
scatter3(ax1,x,y,z,'MarkerFaceColor',[0 .75 .75])
scatter3(ax2,x,y,z,'*')

fig2plotly(gcf);


## Set Scatter Series Properties Using Handle

Use the sphere function to create vectors x, y, and z.

[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];


Create vectors s and c to specify the size and color for each marker.

[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];

S = repmat([70,50,20],numel(X),1);
C = repmat([1,2,3],numel(X),1);
s = S(:);
c = C(:);


Create a 3-D scatter plot and return the scatter series object.

[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];

S = repmat([70,50,20],numel(X),1);
C = repmat([1,2,3],numel(X),1);
s = S(:);
c = C(:);

h = scatter3(x,y,z,s,c);

fig2plotly(gcf);


Use an RGB triplet color value to set the marker face color. Use dot notation to set properties.

[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];

S = repmat([70,50,20],numel(X),1);
C = repmat([1,2,3],numel(X),1);
s = S(:);
c = C(:);

h = scatter3(x,y,z,s,c);

h.MarkerFaceColor = [0 0.5 0.5];

fig2plotly(gcf);


## Plotting Spherical Points

[X,Y,Z] = sphere(16);
x = [0.5*X(:); 0.75*X(:); X(:)];
y = [0.5*Y(:); 0.75*Y(:); Y(:)];
z = [0.5*Z(:); 0.75*Z(:); Z(:)];
scatter3(x,y,z)

fig2plotly(gcf);