Graphing 3D Plot with C++ GNUPlot? (C++ 14, VS 22)

I'm attempting to plot a set of 3D points in C++ using the GNUPlot library implementation. I'm using C++ 14 with Visual Studio 2022.

I understand how to plot 2D points with this library, however I'm quite confused as to how I'm supposed to plot a set of 3D points.

Let's say my 3D points are (0, 0, 0), (1, 1, 1), and (2, 2, 2).

One of the things I tried was to create a vector for each 3D point.

I tried the following example code from the GNUPlot examples page:

#include <string>
#include "gnuplot-iostream.h"

using namespace std;

int main()
{
    vector<vector<float>> data = {};

    data.push_back(vector<float>{0, 0, 0});
    data.push_back(vector<float>{1, 1, 1});
    data.push_back(vector<float>{2, 2, 2});

    Gnuplot gp;

    gp << "set title 'test'\n";

    gp << "set dgrid3d 30,30\n";
    gp << "set hidden3d\n";

    gp << "splot" << gp.file1d(data) << "u 1:2:3 with lines title 'test'" << std::endl;

    return 0;
}

However that gives me the following plot:

I also tried to create a dedicated struct for the 3D points, however that resulted in an error from the GNUPlot header file.

When I would graph 2D points, I would use the std::pair datatype for representing the points, so what datatype should I use to represent 3D points?

Thank you for reading my post, any guidance is appreciated.

It was much simpler than expected, simply removing dgrid3d and replacing lines with points appears to do the trick (thanks ypnos):

#include <string>
#include "gnuplot-iostream.h"

using namespace std;

int main()
{
    vector<vector<float>> data = {};

    data.push_back(vector<float>{0, 0, 0});
    data.push_back(vector<float>{1, 1, 1});
    data.push_back(vector<float>{2, 2, 2});

    Gnuplot gp;

    gp << "set title 'test'\n";

    gp << "splot" << gp.file1d(data) << "u 1:2:3 with points pt 5 title 'test'" << std::endl;

    return 0;
}

Output: