You seem to be confusing 3 different things 
- The unix command line tool diff3provided by GNU diffutils
- The output format of the diff that git provides (in which diff3is a non-default option)
- The algorithm that git uses to generate the diff 
Git supports 4 different diff algorithms.  
You can specify via the command line to git diff
  --minimal
       Spend extra time to make sure the smallest possible diff is produced.
   --patience
       Generate a diff using the "patience diff" algorithm.
   --histogram
       Generate a diff using the "histogram diff" algorithm.
   --diff-algorithm={patience|minimal|histogram|myers}
       Choose a diff algorithm. The variants are as follows:
   default, myers
       The basic greedy diff algorithm. Currently, this is the default.
   minimal
       Spend extra time to make sure the smallest possible diff is produced.
   patience
       Use "patience diff" algorithm when generating patches.
   histogram
       This algorithm extends the patience algorithm to "support low-occurrence common elements".
or via git configuration. 
  diff.algorithm
   Choose a diff algorithm. The variants are as follows:
   default, myers
       The basic greedy diff algorithm. Currently, this is the default.
   minimal
       Spend extra time to make sure the smallest possible diff is produced.
   patience
       Use "patience diff" algorithm when generating patches.
   histogram
       This algorithm extends the patience algorithm to "support low-occurrence common elements".
The diff2 pdf-link in your original question is a description of the myers algorithm, and seems to be unrelated to the 2-way conflict markers git calls diff2 in merge.conflictStyle.
Similarly, the unix tool diff3 is unrelated to the 3-way conflict markers git calls diff3.