Here, I am using an example of deer getting hunted by tigers using iteration. Unlike the example from Mr. M I changed the for loops so the deer would print horizontally instead of vertically making it more compact.

import java.util.*;
public class DeerTiger {
  String[][] deers = {
    {
      "(             )            ",
      " `--(_   _)--'             ",
      "      Y-Y                  ",
      "     /@@ \\                 ",
      "    /     \\                ",
      "    `--'.  \\             , ",
      "        |   `.__________/) ",
      "                           ",
      "                           "
    },
    {
      "\\|/    \\|/          ",
      "  \\    /            ",
      "   \\_/  ___   ___   ",
      "   o o-'   '''   '  ",
      "    O -.         |\\ ",
      "        | |'''| |   ",
      "         ||   | |   ",
      "         ||    ||   ",
      "         \"     \"    "
    },
    {
      "         { }     ",
      "         {^^,    ",
      "         (   `-; ",
      "    _     `;;~~  ",
      "   /(______);    ",
      "  (         (    ",
      "   |:------( )   ",
      " _//         \\\\  ",
      "/ /          vv  "
    },
    {
      "   ()",
      "   ))    ((",
      "  //      \\\\",
      " | \\\\____// |",
      "\\~/ ~    ~\\/~~/",
      " (|    _/o  ~~",
      "  /  /     ,|",
      " (~~~)__.-\\ |",
      "  ``~~    | |",
      "   |      | |"
    }
  };

  String[] tiger = {
    "                         __,,,,_",
    "          _ __..-;''`--/'/ /.',-`-.",
    "     /'`\\ \\   |  \\ | \\| // // / -.,/_,'-,",
    "    /<7' ;  \\ \\  | ; ||/ /| | \\/    |`-/,/-.,_,/')",
    "   /  _.-, `,-\\,__|  _-| / \\ \\/|_/  |    '-/.;.\\'",
    "   `-`  f/ ;      / __/ \\__ `/ |__/ |",
    "        `-'      |  -| =|\\_  \\  |-' |",
    "              __/   /_..-' `  ),'  //",
    "          fL ((__.-'((___..-'' \\__.'"

  };

  public void printRhyme () {
    for (int count = 4; count >= 1; count--) {
      System.out.println("Here comes " + count + " deer\n");
      for (int i = 0; i<deers[0].length; i++) {
        for (int j = 0; j<count; j++) {
          System.out.print(deers[j][i] + "    ");
        }
        System.out.println();
      }
      System.out.println("Then the tiger arrives");
  
      for (int i = 0; i<tiger.length; i++) {
        System.out.println(tiger[i]);
      }
      System.out.println();
      System.out.println("Now there are " + (count-1) + " deer\n");
    }
  }
}
DeerTiger myRhyme = new DeerTiger();
myRhyme.printRhyme();
Here comes 4 deer

(             )                \|/    \|/                       { }            ()    
 `--(_   _)--'                   \    /                         {^^,           ))    ((    
      Y-Y                         \_/  ___   ___                (   `-;       //      \\    
     /@@ \                        o o-'   '''   '          _     `;;~~       | \\____// |    
    /     \                        O -.         |\        /(______);        \~/ ~    ~\/~~/    
    `--'.  \             ,             | |'''| |         (         (         (|    _/o  ~~    
        |   `.__________/)              ||   | |          |:------( )         /  /     ,|    
                                        ||    ||        _//         \\       (~~~)__.-\ |    
                                        "     "        / /          vv        ``~~    | |    
Then the tiger arrives
                         __,,,,_
          _ __..-;''`--/'/ /.',-`-.
     /'`\ \   |  \ | \| // // / -.,/_,'-,
    /<7' ;  \ \  | ; ||/ /| | \/    |`-/,/-.,_,/')
   /  _.-, `,-\,__|  _-| / \ \/|_/  |    '-/.;.\'
   `-`  f/ ;      / __/ \__ `/ |__/ |
        `-'      |  -| =|\_  \  |-' |
              __/   /_..-' `  ),'  //
          fL ((__.-'((___..-'' \__.'

Now there are 3 deer

Here comes 3 deer

(             )                \|/    \|/                       { }         
 `--(_   _)--'                   \    /                         {^^,        
      Y-Y                         \_/  ___   ___                (   `-;     
     /@@ \                        o o-'   '''   '          _     `;;~~      
    /     \                        O -.         |\        /(______);        
    `--'.  \             ,             | |'''| |         (         (        
        |   `.__________/)              ||   | |          |:------( )       
                                        ||    ||        _//         \\      
                                        "     "        / /          vv      
Then the tiger arrives
                         __,,,,_
          _ __..-;''`--/'/ /.',-`-.
     /'`\ \   |  \ | \| // // / -.,/_,'-,
    /<7' ;  \ \  | ; ||/ /| | \/    |`-/,/-.,_,/')
   /  _.-, `,-\,__|  _-| / \ \/|_/  |    '-/.;.\'
   `-`  f/ ;      / __/ \__ `/ |__/ |
        `-'      |  -| =|\_  \  |-' |
              __/   /_..-' `  ),'  //
          fL ((__.-'((___..-'' \__.'

Now there are 2 deer

Here comes 2 deer

(             )                \|/    \|/              
 `--(_   _)--'                   \    /                
      Y-Y                         \_/  ___   ___       
     /@@ \                        o o-'   '''   '      
    /     \                        O -.         |\     
    `--'.  \             ,             | |'''| |       
        |   `.__________/)              ||   | |       
                                        ||    ||       
                                        "     "        
Then the tiger arrives
                         __,,,,_
          _ __..-;''`--/'/ /.',-`-.
     /'`\ \   |  \ | \| // // / -.,/_,'-,
    /<7' ;  \ \  | ; ||/ /| | \/    |`-/,/-.,_,/')
   /  _.-, `,-\,__|  _-| / \ \/|_/  |    '-/.;.\'
   `-`  f/ ;      / __/ \__ `/ |__/ |
        `-'      |  -| =|\_  \  |-' |
              __/   /_..-' `  ),'  //
          fL ((__.-'((___..-'' \__.'

Now there are 1 deer

Here comes 1 deer

(             )                
 `--(_   _)--'                 
      Y-Y                      
     /@@ \                     
    /     \                    
    `--'.  \             ,     
        |   `.__________/)     
                               
                               
Then the tiger arrives
                         __,,,,_
          _ __..-;''`--/'/ /.',-`-.
     /'`\ \   |  \ | \| // // / -.,/_,'-,
    /<7' ;  \ \  | ; ||/ /| | \/    |`-/,/-.,_,/')
   /  _.-, `,-\,__|  _-| / \ \/|_/  |    '-/.;.\'
   `-`  f/ ;      / __/ \__ `/ |__/ |
        `-'      |  -| =|\_  \  |-' |
              __/   /_..-' `  ),'  //
          fL ((__.-'((___..-'' \__.'

Now there are 0 deer