What you are trying to do is an exercise in futility.
It is near impossible to measure a real diagram of such antenna in home conditions.
Everything around you is a mirror. Even ground is a mirror too. Walls, wires, tubes in house warming system are reflecting your signal. So, you have not only one signal coming from your TX antenna, but a lot of reflected signals coming from different unpredictable directions.
How to measure antenna diagram correctly:
1) It must be an open field without any object around it. In this case, we will avoid reflections.
2) For better results, we need to use a directional antenna in RX point.
3) A distance between TX and RX antennas as a rule must be more than 10 wavelengths.
4) We have to make a number of different experiments on different attitudes (up to few wavelengths) because ground is reflecting too.
You see, it is quite difficult to make, but you can approach some of these conditions. Or better, follow the advice given by token0.
The project is not mine, it's already done, they asked me to optimize the RF part, the project is an tx antenna and rx antenna between them pass a metallized film, in function of attenuation they know metal thikness.
The projected distance between tx and rx is 4.5 cm.
The problem is the influences of nearby devices the always tx/rx couples. I looking for if changing the position, or form of antennas change directivity e lobe.
I tried to follow the advice given by token0, but it's not clear to me how to create a coil antenna in the program...