Constructor Trouble

Hello. I'm trying to implement a program that generates the game tree
for this game,
http://www.everything2.org/index.pl?node_id=1314953&lastnode_id=1140332
..

I think I'm having difficulties understanding what constructors do when
called from within an instance of the class being constructed. In
particular, I would expect this:

GameState[] generateChildren(){
    int count=0;
    GameState[] children = new GameState[hands*hands+1];//the number of
children = hands^2+1 for splits
    for(int i=0;i<hands;i++){
        for(int j=0;j<hands;j++){
        children[count]=new GameState(i,j,this); //this should make a new
GameState with hand

  //this.state[0][i]for p1 added to hand j for p2 or

  //vice versa if

 //turn==false

        }
    }
....

to make a new array of GameStates without changing the GameState in
which this method is being called. But when I run it, I find that it is
changing the GameState itself.

Below is the entire GameState class. I know I don't have good style,
and that this is probably some silly issue that I should understand,
but I am stumped. Thanks in advance for your help.

package fingernumbers;
import java.util.HashSet;
public class GameState {
int hands; //this is the number of hands
int fingers;//this is the number of fingers on each hand
int[][] state;//this holds the number of fingers up on each hand
boolean turn;//this holds whose turn it is. true = 1st
player(state[0][]), false = 2nd (state[1][])
boolean victory=false;
volatile HashSet<GameState> linkTo; //this holds any GameStates with
this as a child.
GameState[] children; //this holds all the GameStates that can be made
from this one.

  //this constructor is just for creating the initial state
GameState(int hands, int fingers){
this.hands = hands;
this.fingers= fingers;
turn=true;
state = new int[2][hands];
for(int i=0;i<hands;i++){
    state[0][i]=1;
    state[1][i]=1;
}}

  //this constructor combines hands of the parent gamestate to make a
new child
GameState(int p1,int p2,GameState parent){
    state=parent.state;
    hands=parent.hands;
    fingers=parent.fingers;
    turn=!parent.turn;
    if(turn){ //turn==true means it is p1's
turn
    state[1][p2]=state[1][p2]+state[0][p1];
    if(state[1][p2]>=parent.fingers)
        state[1][p2]=fingers;
    }
    else{ //turn==false means p2's turn
        state[0][p1]=state[0][p1]+state[1][p2];
        if(state[0][p1]>=parent.fingers)
            state[0][p1]=fingers;
    }
//sorting the hands to ascending order of fingers up
int sortWhich=0;
    if(turn)
        sortWhich=1;
int tempHolder=0;
for(int i=0;i<hands;i++){
        for(int j=i+1;j<hands;j++){
        if(state[sortWhich][i]>state[sortWhich][j]){
            tempHolder=state[sortWhich][i];
            state[sortWhich][i]=state[sortWhich][j];
            state[sortWhich][j]=tempHolder;
        }
        }
    }

}//end constructor

  //this constructor splits the remaining hand of the player whose turn
it is
GameState(GameState parent,int indexSplit){
    state=parent.state;
    hands=parent.hands;
    fingers=parent.fingers;
    turn=!parent.turn;
    int newFingers=state[0][indexSplit]/hands;
    if(turn){
        for(int i = 0;i<hands;i++){
            state[0][i]=newFingers;
        }
    }
    else
    { for(int i = 0;i<hands;i++){
        state[1][i]=newFingers;
    }}
}

  //this returns the GameStates for the children of the current game
GameState[] generateChildren(){
    int count=0;
    GameState[] children = new GameState[hands*hands+1];//the number of
children = hands^2+1 for splits
    for(int i=0;i<hands;i++){
        for(int j=0;j<hands;j++){
        children[count]=new GameState(i,j,this); //this combines the hands of
each player

        }

    //this part checks for a split
    count=0;
    int indexSplit=0;
    int turnIndex=0;
    if(turn)
        turnIndex=1;
    for(int i=0;i<hands;i++){
        if(state[turnIndex][i]==0)
            count++;
        else
            indexSplit=i;
    }
    if(count==hands-1){
        if(state[turnIndex][indexSplit]/hands==(double)state[turnIndex][indexSplit]/hands)
            children[children.length-1]=new GameState(this,indexSplit);
    }
    //this removes equal GameStates from children
    count=children.length;
    int[] indexRemoved = new int[children.length];
    for(int i=0;i<hands;i++){
        for(int j=i+1;j<hands;j++){
        if(children[i]==children[j]){
            indexRemoved[j]=1;
            count--;
        }
        }
    }
    GameState[] finishedChildren = new GameState[count];
    count=0;
    for(int i=0;i<hands;i++)
    if(indexRemoved[i]==0){
        finishedChildren[count]=children[i];
        count++;
    }
    this.children=finishedChildren;
    return finishedChildren;//return the simplified children
}

public boolean victory(){
    int turnIndex=0;
    if(turn)
        turnIndex=1;
    int count=0;
    for(int i=0;i<hands;i++)
    if(state[turnIndex][i]==fingers)
        count++;
    if(count==hands)
        return true;
    else
    return false;
}

public boolean equals(Object obj){
         if(this==obj)
         return true;
         if((obj==null)||obj.getClass()!=this.getClass())
         return false;
         //object must be GameState here
         GameState check = (GameState)obj;
         return turn==this.turn&&state==this.state;

}
public String toString(){
    String returnString="";
    for(int j=0;j<2;j++){
    returnString=returnString+'\n';
    for(int i=0;i<hands;i++){
        returnString=returnString+state[j][i]+",";
    }

} return returnString;
    }
}

public class Main {

    public static void main(String[] args) {
    GameState game = new GameState(2,5);
    GameState[] children=game.generateChildren();
    System.out.println(game);
    for(int i=0;i<children.length;i++){
        System.out.println(children[i]);

    }
    }

}