Suppose I have 3 sensors: sensor1, sensor2 and sensor3.
The only variables I know are:
Distance from sensor1 to origin is 36.05
Distance from sensor2 to origin is 62.00
Distance from sensor3 to origin is 63.19
Distance from sensor1 to sensor2 is 61.03
Distance from sensor1 to sensor3 is 90.07
Distance from sensor2 to sensor3 is 59.50
This is how it would look like if you had the positions:
How can I calculate the position of every point using only those variables?
This is not homework, just curiosity.
You cannot find the position of the points exactly, as any rotation around the origin, as well as symmetry still give the same distances.
Do you want a way to find all the possible results?
Finding the points is pretty straightforward, but do you need the method to be robust on noise?