BattleFieldMoveToQuadrant.java

package tanks;

import java.awt.Color;
import java.awt.Dimension;
import java.awt.Graphics;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.WindowConstants;

public class BattleFieldMoveToQuadrant extends JPanel {

		boolean COLORDED_MODE = true;
		
		int tankX = 0;
		int tankY = 0;
		
		long speed = 10;
	
		int direction = 0;
		
		
		void runTheGame() throws Exception {

			moveToQuadrant("b", "3");
			moveToQuadrant("c", "4");
			moveToQuadrant("c", "9");
			moveToQuadrant("i", "9");
			moveToQuadrant("b", "2");
		}

		
			void moveToQuadrant(String v, String h) throws Exception{
				String quadrantCoordin = getQuadrant(v, h);
				int slash = quadrantCoordin.indexOf("_");
				
				int x = Integer.valueOf(quadrantCoordin.substring(slash + 1));
				int y = Integer.valueOf(quadrantCoordin.substring(0, slash));
				
				if(tankX < x) {
					while(tankX != x) {
						move(4);	
						}				
									
				}else {
					while(tankX != x) {
							move(3);	
						}			
				}
				if(tankY < y) {
					while(tankY != y) {
							move(2);	
						}			
					}
					
				else {
					while(tankY != y) {
				
							move(1);	
						}	
				}
					
				Thread.sleep(500);
										
			}
		
			static String getQuadrant(String vert, String hor) {
			
			String h = "123456789";
			String v = "abcdefghi";
			int quadrantSize  = 64;
			
			int x = h.indexOf(hor) * quadrantSize;
			int y = v.indexOf(vert) * quadrantSize;
			
			return String.valueOf(y) + "_" + String.valueOf(x);
				
		}
		
			void move(int direction) throws Exception {
				int step = 1;
					
				if (direction == 1) {
					tankY -= step;
					System.out.println("(move up) direction " + direction + " tankX " + tankX + "tankY " + tankY);
					repaint();
					Thread.sleep(speed);	
					}
				else if(direction == 2){
					tankY += step;
					System.out.println("(move down) direction " + direction + " tankX " + tankX + "tankY " + tankY);
					repaint();
					Thread.sleep(speed);
					}
							
						
				else if(direction == 3){
						tankX -= step;
						System.out.println("(move left) direction " + direction + " tankX " + tankX + "tankY " + tankY);
						repaint();
						Thread.sleep(speed);
					}
				else if(direction == 4){
						tankX += step;
						System.out.println("(move right) direction " + direction + " tankX " + tankX + "tankY " + tankY);
						repaint();
						Thread.sleep(speed);
					}
					
			}
		
	
		final int BF_WIDTH = 576;
		final int BF_HEIGHT = 576;
		
		public static void main(String[] args) throws Exception {
			BattleFieldMoveToQuadrant bf = new BattleFieldMoveToQuadrant();
			bf.runTheGame();
		}

		public BattleFieldMoveToQuadrant() throws Exception {
			JFrame frame = new JFrame("BATTLE FIELD, DAY 2");
			frame.setLocation(500, 150);
			frame.setMinimumSize(new Dimension(BF_WIDTH, BF_HEIGHT + 22));
			frame.setDefaultCloseOperation(WindowConstants.EXIT_ON_CLOSE);
			frame.getContentPane().add(this);
			frame.pack();
			frame.setVisible(true);
		}

		@Override
		protected void paintComponent(Graphics g) {
			super.paintComponent(g);
			
			int i = 0;
			Color cc;
			for (int v = 0; v < 9; v++) {
				for (int h = 0; h < 9; h++) {
					if (COLORDED_MODE) {
						if (i % 2 == 0) {
							cc = new Color(252, 241, 177);
						} else {
							cc = new Color(233, 243, 255);
						}
					} else {
						cc = new Color(180, 180, 180);
					}
					i++;
					g.setColor(cc);
					g.fillRect(h * 64, v * 64, 64, 64);
				}
			}
			
			g.setColor(new Color(255, 0, 0));
			g.fillRect(tankX, tankY, 64, 64);
		}

	}

У Вас путаница с координатами. Первое движение в квадрат moveToQuadrant("f", "2");, а передвигаете танк в квадрант b6