As you saw in previous answer, there is only four dimensions known to the world. I am working on familiarizing the world with the fifth dimension which I have discovered. The 5th dimension has been known for a long time, not in a physical sense but in a mathematical sence, even works decades old mentions dimensionalities higher than 4. There is a final dimension, when you understand my theory of five dimensions, which I typed here for numerous times. Mathematics says dimensions don't end because mathematics is just a vast number of number combinations and there's no theory like in physics and philosophy.
Theory is the one that limits dimensions to five.
Firstly, there's five dimensions. I've got 3 different dictionaries here with me and there is no word trimension. And as you can see they have no connection to dimension. As you can see, there is nothing to support your speculations and dimensions of dimensions etc. The tri represents how many times the line is took to the power of itself.