For some reason the desmos engine doesn't do mod(x,3)=0, perhaps it's graphing an infinately small point. If you allow the value of the modular function to be less than a small number, say, mod(x,3)<0.01, then you will see the points you expect.
Verbatim is defined as an exact repetition without changing the words. An example of verbatim is when you quote someone exactly without changing anything. word for word; in exactly the same words. Origin of verbatim.
To utter in duplication of another's utterance: repeated the customer's complaint in disbelief. 3. To recite from memory: repeated the poem verbatim. 4. To tell to another: repeated what he had heard that morning. 5. To do, experience, or produce again: repeat past successes; repeat a course; repeat a pattern. 6. To express (oneself) in the same way or words: repeats himself constantly.