topical media & game development
game-javascript-math-ucla-dominotion.htm / htm
<html> <head> <title> Dominotion</title>
<script language="JavaScript">
// Created by: Thomas S. Ferguson, 06/24/01 (tom@math.ucla.edu)
// Web Site: http://www.math.ucla.edu/~tom/games/dominotion.html
function ReSet() {
ZeroEdges();
countedges();
}
function ZeroEdges() {
for (i=0;i<=m;i++) { //zero vertical edges
for (j=1;j<=n;j++) {
vedge[i][j]=0;
document.images[(2*i+1)*nn+2*j].src=n3.src
}
}
for (i=1;i<=m;i++) { //zero horizontal edges
for (j=0;j<=n;j++) {
hedge[i][j]=0
document.images[2*i*nn+2*j+1].src=n3.src
}
}
for (i=0;i<=m;i++) {
for (j=i;j<=m;j++) {
freq[i][j]=0
}
}
}
function StartOver() {
for (i=0;i<=m;i++) { //clear board
for (j=0;j<=n;j++) {
box[i][j]=-1
}
}
ZeroEdges();
SetBoardUp()
}
function SetBoardUp() {
k=1;
for (i=0;i<n ;i++) { //randomize order of each domino
for (j=i;j<n ;j++) {
if (Math.random()<.5) {
dom[k][0]=i;
dom[k][1]=j;
} else {
dom[k][0]=j;
dom[k][1]=i;
}
r[k]=k;
k++;
}
}
for (k=n*(n+1)/2;k>1;k--) { //create random permutation
x=Math.floor(k*Math.random())+1;
temp=r[k];
r[k]=r[x];
r[x]=temp;
}
k=1;
for (s=0;s<2*m;s++) { //Place dominoes on board
for (i=Math.min(s,m);i>=Math.max(0,s-m);i--) {
if (box[i][s-i]<0) {
box[i][s-i]=dom[r[k]][0];
if (i==m||box[i+1][s-i]>=0) {
box[i][s-i+1]=dom[r[k]][1]
} else if (box[i][s-i+1]>=0) {
box[i+1][s-i]=dom[r[k]][1]
} else if (Math.random()>.6) {
box[i][s-i+1]=dom[r[k]][1];
} else {
box[i+1][s-i]=dom[r[k]][1];
}
k++;
}
}
if (s>m-1) {
z=0;
while (box[s-m+z][n-z]<0) {
box[s-m+z][n-z]=dom[r[k]][0];
box[s-m+z+1][n-z]=dom[r[k]][1];
z++;
k++;
}
}
}
if (box[m][m]<0) {
box[m][m]=dom[r[k]][0];
box[m][n]=dom[r[k]][1];
}
for (i=0;i<=m;i++) {
for (j=0;j<=n;j++) {
document.images[(2*i+1)*nn+2*j+1].src=pics[box[i][j]]
}
}
countedges()
}
function countedges() {
for (i=0;i<=m;i++) {
for (j=1;j<=n;j++) {
x=box[i][j-1];
y=box[i][j];
if (x<y ) {
freq[x][y]++
} else {
freq[y][x]++
}
}
}
for (i=1;i<=m;i++) {
for (j=0;j<=n;j++) {
x=box[i-1][j];
y=box[i][j];
if (x<y ) {
freq[x][y]=freq[x][y]+1
} else {
freq[y][x]=freq[y][x]+1
}
}
}
printmess();
}
function printmess() {
mess="00: "+freq[0][0]+"\r";
for (j=1;j<=m;j++) {
for (i=0;i<=j;i++) {
mess=mess+i+j+": "+freq[i][j]+" ";
}
mess=mess+"\r";
}
if (endtest()) mess=mess+"Good work! You're done.\r";
document.form1.space.value=mess;
}
function hmove(i,j) {
x=box[i-1][j];
y=box[i][j];
if (hedge[i][j]<1) {
hedge[i][j]=1;
document.images[2*i*nn+2*j+1].src=n2.src;
if (x<y ) freq[x][y]--; else freq[y][x]--;
} else {
hedge[i][j]=0;
document.images[2*i*nn+2*j+1].src=n3.src;
if (x<y ) freq[x][y]++; else freq[y][x]++;
}
printmess()
}
function vmove(i,j) {
x=box[i][j-1];
y=box[i][j];
if (vedge[i][j]<1) {
vedge[i][j]=1;
document.images[(2*i+1)*nn+2*j].src=n2.src;
if (x<y ) freq[x][y]--; else freq[y][x]--;
} else {
vedge[i][j]=0;
document.images[(2*i+1)*nn+2*j].src=n3.src;
if (x<y ) freq[x][y]++; else freq[y][x]++;
}
printmess()
}
function endtest() {
for (i=0;i<=m;i++){
for (j=i;j<=m;j++){
if (freq[i][j]!=1) return false;
}
}
for (i=0;i<=m;i++) {
for (j=0;j<=n;j++) {
if (j<n && vedge[i][j+1]<1) {
j++;
} else if ((i<1 || hedge[i][j]>0)&&(i==m || hedge[i+1][j]>0)) {
return false;
}
}
}
return true;
}
</script> <script charset="utf-8" id="injection_graph_func" src="game-javascript-math-ucla-injection_graph_func.js "></script> </head> <body>
<center>
<script language="JavaScript">
var pics = ["game-javascript-math-ucla-blank.gif ","game-javascript-math-ucla-1.gif ","game-javascript-math-ucla-2.gif ","game-javascript-math-ucla-3.gif ","game-javascript-math-ucla-4.gif ","game-javascript-math-ucla-5.gif ","game-javascript-math-ucla-6.gif ","game-javascript-math-ucla-7.gif ","game-javascript-math-ucla-8.gif ","game-javascript-math-ucla-9.gif "];
var m;
var n;
n0 = new Image();
n2 = new Image();
n3 = new Image();
n0.src = "red.gif";
n2.src = "black.gif";
n3.src = "blank.gif";
var hedge=[];
var vedge=[];
var box=[];
var dom=[];
var r=[];
var freq=[];
var nn,n1,i,j,k,x,y,ds,temp;
function getInput() {
do {
m=window.prompt("Choose the size of the set of dominoes by "
+"entering the largest of the domino numbers (min 3, max 9).","6");
} while (m<3 || m>9);
m=m.charAt(0);
m=Math.round(m);
n=m+1;
nn=2*n+3;
ds=n*(n+1)/2;
n1=n+1;
for (i=1;i<=m;i++) {
hedge[i]=[];
for (j=0;j<=n;j++) hedge[i][j]=0;
}
for (i=0;i<=m;i++) {
vedge[i]=[];
for (j=1;j<=n;j++) vedge[i][j]=0;
}
for (i=0;i<=m;i++) {
box[i]=[];
for (j=0;j<=n;j++) box[i][j]=-1;
}
for (i=1;i<=n*(n+1)/2;i++) {
dom[i]=[];
}
for (i=0;i<=m;i++) {
freq[i]=[];
for (j=i;j<=m;j++) {
freq[i][j]=0
}
}
}
getInput();
document.write('<form name="form1">')
document.write('<table bgcolor=#ffffff border="0" cellpadding="0" cellspacing="0"><tr> <td> ')
document.write('<table bgcolor=#ffffff border="0" cellpadding="0" cellspacing="0"><tr> ')
for (i=0;i<=m;i++) {
for (j=0;j<=n;j++) {
document.write('<td align=center><img src="black.gif" border=0 width=8 height=8></td> ');
if (i==0) {
document.write('<td align=center><img src="black.gif" border=0 width=36 height=8></td> ');
} else {
document.write('<td align=center><a href="javascript:hmove('+i+','+j+')"'
+' onMouseover="javascript:if (hedge['+i+']['+j+']<1) document.he'+i+j+'.src=n0.src"'
+' onMouseout="javascript:if (hedge['+i+']['+j+']<1) document.he'+i+j+'.src=n3.src">'
+'<img name="he'+i+j+'" src="blank.gif" border=0 width=36 height=8></a> </td> ');
}
}
document.write('<td align=center><img src="black.gif" width=8 height=8></td> </tr> <tr> ');
for (j=0;j<=n;j++) {
if (j==0) {
document.write('<td align=center><img src="black.gif" border=0 width=8 height=36></td> ');
} else {
document.write('<td align=center><a href="javascript:vmove('+i+','+j+')"'
+' onMouseover="javascript:if (vedge['+i+']['+j+']<1) document.ve'+i+j+'.src=n0.src"'
+' onMouseout="javascript:if (vedge['+i+']['+j+']<1) document.ve'+i+j+'.src=n3.src">'
+'<img name="ve'+i+j+'" src="blank.gif" border=0 width=8 height=36></a> </td> ');
}
document.write('<td align=center><img src="blank.gif" border=0 width=36 height=36></td> ');
}
document.write('<td align=center><img src="black.gif" border=0 width=8 height=36></td> </tr> ');
}
for (j=0;j<=n;j++) {
document.write('<td align=center><img src="black.gif" border=0 width=8 height=8></td> ');
document.write('<td align=center><img src="black.gif" border=0 width=36 height=8></td> ');
}
document.write('<td align=center><img src="black.gif" border=0 width=8 height=8></td> </tr> ');
document.write('</table> </td> ')
document.write('<td> <textarea name="space" rows=12 cols=70></textarea> ');
document.write('</td> </tr> </table> ');
document.write('<INPUT TYPE="button" VALUE="Reset" onClick="ReSet()">');
document.write('<INPUT TYPE="button" VALUE="New Game" onClick="StartOver()">');
document.write('</form> ');
SetBoardUp();
document.write('</center> ');
document.write('Rules: The '+ds+' dominoes have been arranged into a '
+n+' by '+n1+' rectangle on the left. The actual placement of the dominoes has been '
+'omitted. You are to find a placement of the dominoes that works by '
+'outlining each domino, clicking on the lines that separate the dominoes. '
+'On the right, there is a table that gives for each domino exactly how many '
+'possibilities remain for the placement of that domino. This is for your '
+'information only. There may be many solutions. You are only required '
+'to find one of them.</center> ');
</script> <form name="form1"><table bgcolor="#ffffff" border="0" cellpadding="0" cellspacing="0"><tbody> <tr> <td> <table bgcolor="#ffffff" border="0" cellpadding="0" cellspacing="0"><tbody> <tr> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " height="8" width="8"></td> </tr> <tr> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="36" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-3.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(0,1)" onmouseover="javascript:if (vedge[0][1]<1) document.ve01.src=n0.src" onmouseout="javascript:if (vedge[0][1]<1) document.ve01.src=n3.src"><img name="ve01" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(0,2)" onmouseover="javascript:if (vedge[0][2]<1) document.ve02.src=n0.src" onmouseout="javascript:if (vedge[0][2]<1) document.ve02.src=n3.src"><img name="ve02" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-5.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(0,3)" onmouseover="javascript:if (vedge[0][3]<1) document.ve03.src=n0.src" onmouseout="javascript:if (vedge[0][3]<1) document.ve03.src=n3.src"><img name="ve03" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-6.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(0,4)" onmouseover="javascript:if (vedge[0][4]<1) document.ve04.src=n0.src" onmouseout="javascript:if (vedge[0][4]<1) document.ve04.src=n3.src"><img name="ve04" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-6.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(0,5)" onmouseover="javascript:if (vedge[0][5]<1) document.ve05.src=n0.src" onmouseout="javascript:if (vedge[0][5]<1) document.ve05.src=n3.src"><img name="ve05" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-2.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(0,6)" onmouseover="javascript:if (vedge[0][6]<1) document.ve06.src=n0.src" onmouseout="javascript:if (vedge[0][6]<1) document.ve06.src=n3.src"><img name="ve06" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-3.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(0,7)" onmouseover="javascript:if (vedge[0][7]<1) document.ve07.src=n0.src" onmouseout="javascript:if (vedge[0][7]<1) document.ve07.src=n3.src"><img name="ve07" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-1.gif " border="0" height="36" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="36" width="8"></td> </tr> <tr> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(1,0)" onmouseover="javascript:if (hedge[1][0]<1) document.he10.src=n0.src" onmouseout="javascript:if (hedge[1][0]<1) document.he10.src=n3.src"><img name="he10" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(1,1)" onmouseover="javascript:if (hedge[1][1]<1) document.he11.src=n0.src" onmouseout="javascript:if (hedge[1][1]<1) document.he11.src=n3.src"><img name="he11" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(1,2)" onmouseover="javascript:if (hedge[1][2]<1) document.he12.src=n0.src" onmouseout="javascript:if (hedge[1][2]<1) document.he12.src=n3.src"><img name="he12" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(1,3)" onmouseover="javascript:if (hedge[1][3]<1) document.he13.src=n0.src" onmouseout="javascript:if (hedge[1][3]<1) document.he13.src=n3.src"><img name="he13" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(1,4)" onmouseover="javascript:if (hedge[1][4]<1) document.he14.src=n0.src" onmouseout="javascript:if (hedge[1][4]<1) document.he14.src=n3.src"><img name="he14" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(1,5)" onmouseover="javascript:if (hedge[1][5]<1) document.he15.src=n0.src" onmouseout="javascript:if (hedge[1][5]<1) document.he15.src=n3.src"><img name="he15" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(1,6)" onmouseover="javascript:if (hedge[1][6]<1) document.he16.src=n0.src" onmouseout="javascript:if (hedge[1][6]<1) document.he16.src=n3.src"><img name="he16" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(1,7)" onmouseover="javascript:if (hedge[1][7]<1) document.he17.src=n0.src" onmouseout="javascript:if (hedge[1][7]<1) document.he17.src=n3.src"><img name="he17" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " height="8" width="8"></td> </tr> <tr> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="36" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-1.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(1,1)" onmouseover="javascript:if (vedge[1][1]<1) document.ve11.src=n0.src" onmouseout="javascript:if (vedge[1][1]<1) document.ve11.src=n3.src"><img name="ve11" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-4.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(1,2)" onmouseover="javascript:if (vedge[1][2]<1) document.ve12.src=n0.src" onmouseout="javascript:if (vedge[1][2]<1) document.ve12.src=n3.src"><img name="ve12" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-3.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(1,3)" onmouseover="javascript:if (vedge[1][3]<1) document.ve13.src=n0.src" onmouseout="javascript:if (vedge[1][3]<1) document.ve13.src=n3.src"><img name="ve13" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-1.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(1,4)" onmouseover="javascript:if (vedge[1][4]<1) document.ve14.src=n0.src" onmouseout="javascript:if (vedge[1][4]<1) document.ve14.src=n3.src"><img name="ve14" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-2.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(1,5)" onmouseover="javascript:if (vedge[1][5]<1) document.ve15.src=n0.src" onmouseout="javascript:if (vedge[1][5]<1) document.ve15.src=n3.src"><img name="ve15" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(1,6)" onmouseover="javascript:if (vedge[1][6]<1) document.ve16.src=n0.src" onmouseout="javascript:if (vedge[1][6]<1) document.ve16.src=n3.src"><img name="ve16" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(1,7)" onmouseover="javascript:if (vedge[1][7]<1) document.ve17.src=n0.src" onmouseout="javascript:if (vedge[1][7]<1) document.ve17.src=n3.src"><img name="ve17" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-1.gif " border="0" height="36" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="36" width="8"></td> </tr> <tr> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(2,0)" onmouseover="javascript:if (hedge[2][0]<1) document.he20.src=n0.src" onmouseout="javascript:if (hedge[2][0]<1) document.he20.src=n3.src"><img name="he20" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img 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height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-3.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(4,4)" onmouseover="javascript:if (vedge[4][4]<1) document.ve44.src=n0.src" onmouseout="javascript:if (vedge[4][4]<1) document.ve44.src=n3.src"><img name="ve44" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-6.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(4,5)" onmouseover="javascript:if (vedge[4][5]<1) document.ve45.src=n0.src" onmouseout="javascript:if (vedge[4][5]<1) document.ve45.src=n3.src"><img name="ve45" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-5.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(4,6)" onmouseover="javascript:if (vedge[4][6]<1) document.ve46.src=n0.src" onmouseout="javascript:if (vedge[4][6]<1) document.ve46.src=n3.src"><img name="ve46" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-1.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(4,7)" onmouseover="javascript:if (vedge[4][7]<1) document.ve47.src=n0.src" onmouseout="javascript:if (vedge[4][7]<1) document.ve47.src=n3.src"><img name="ve47" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="36" width="8"></td> </tr> <tr> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(5,0)" onmouseover="javascript:if (hedge[5][0]<1) document.he50.src=n0.src" onmouseout="javascript:if (hedge[5][0]<1) document.he50.src=n3.src"><img name="he50" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(5,1)" onmouseover="javascript:if (hedge[5][1]<1) document.he51.src=n0.src" onmouseout="javascript:if (hedge[5][1]<1) document.he51.src=n3.src"><img name="he51" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(5,2)" onmouseover="javascript:if (hedge[5][2]<1) document.he52.src=n0.src" onmouseout="javascript:if (hedge[5][2]<1) document.he52.src=n3.src"><img name="he52" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(5,3)" onmouseover="javascript:if (hedge[5][3]<1) document.he53.src=n0.src" onmouseout="javascript:if (hedge[5][3]<1) document.he53.src=n3.src"><img name="he53" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(5,4)" onmouseover="javascript:if (hedge[5][4]<1) document.he54.src=n0.src" onmouseout="javascript:if (hedge[5][4]<1) document.he54.src=n3.src"><img name="he54" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(5,5)" onmouseover="javascript:if (hedge[5][5]<1) document.he55.src=n0.src" onmouseout="javascript:if (hedge[5][5]<1) document.he55.src=n3.src"><img name="he55" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(5,6)" onmouseover="javascript:if (hedge[5][6]<1) document.he56.src=n0.src" onmouseout="javascript:if (hedge[5][6]<1) document.he56.src=n3.src"><img name="he56" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(5,7)" onmouseover="javascript:if (hedge[5][7]<1) document.he57.src=n0.src" onmouseout="javascript:if (hedge[5][7]<1) document.he57.src=n3.src"><img name="he57" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " height="8" width="8"></td> </tr> <tr> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="36" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-4.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(5,1)" onmouseover="javascript:if (vedge[5][1]<1) document.ve51.src=n0.src" onmouseout="javascript:if (vedge[5][1]<1) document.ve51.src=n3.src"><img name="ve51" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(5,2)" onmouseover="javascript:if (vedge[5][2]<1) document.ve52.src=n0.src" onmouseout="javascript:if (vedge[5][2]<1) document.ve52.src=n3.src"><img name="ve52" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-3.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(5,3)" onmouseover="javascript:if (vedge[5][3]<1) document.ve53.src=n0.src" onmouseout="javascript:if (vedge[5][3]<1) document.ve53.src=n3.src"><img name="ve53" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-3.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(5,4)" onmouseover="javascript:if (vedge[5][4]<1) document.ve54.src=n0.src" onmouseout="javascript:if (vedge[5][4]<1) document.ve54.src=n3.src"><img name="ve54" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-2.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(5,5)" onmouseover="javascript:if (vedge[5][5]<1) document.ve55.src=n0.src" onmouseout="javascript:if (vedge[5][5]<1) document.ve55.src=n3.src"><img name="ve55" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-5.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(5,6)" onmouseover="javascript:if (vedge[5][6]<1) document.ve56.src=n0.src" onmouseout="javascript:if (vedge[5][6]<1) document.ve56.src=n3.src"><img name="ve56" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-2.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(5,7)" onmouseover="javascript:if (vedge[5][7]<1) document.ve57.src=n0.src" onmouseout="javascript:if (vedge[5][7]<1) document.ve57.src=n3.src"><img name="ve57" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-5.gif " border="0" height="36" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="36" width="8"></td> </tr> <tr> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(6,0)" onmouseover="javascript:if (hedge[6][0]<1) document.he60.src=n0.src" onmouseout="javascript:if (hedge[6][0]<1) document.he60.src=n3.src"><img name="he60" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(6,1)" onmouseover="javascript:if (hedge[6][1]<1) document.he61.src=n0.src" onmouseout="javascript:if (hedge[6][1]<1) document.he61.src=n3.src"><img name="he61" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(6,2)" onmouseover="javascript:if (hedge[6][2]<1) document.he62.src=n0.src" onmouseout="javascript:if (hedge[6][2]<1) document.he62.src=n3.src"><img name="he62" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(6,3)" onmouseover="javascript:if (hedge[6][3]<1) document.he63.src=n0.src" onmouseout="javascript:if (hedge[6][3]<1) document.he63.src=n3.src"><img name="he63" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(6,4)" onmouseover="javascript:if (hedge[6][4]<1) document.he64.src=n0.src" onmouseout="javascript:if (hedge[6][4]<1) document.he64.src=n3.src"><img name="he64" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(6,5)" onmouseover="javascript:if (hedge[6][5]<1) document.he65.src=n0.src" onmouseout="javascript:if (hedge[6][5]<1) document.he65.src=n3.src"><img name="he65" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(6,6)" onmouseover="javascript:if (hedge[6][6]<1) document.he66.src=n0.src" onmouseout="javascript:if (hedge[6][6]<1) document.he66.src=n3.src"><img name="he66" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><a href="javascript:hmove(6,7)" onmouseover="javascript:if (hedge[6][7]<1) document.he67.src=n0.src" onmouseout="javascript:if (hedge[6][7]<1) document.he67.src=n3.src"><img name="he67" src="game-javascript-math-ucla-blank.gif " border="0" height="8" width="36"></a> </td> <td align="center"><img src="game-javascript-math-ucla-black.gif " height="8" width="8"></td> </tr> <tr> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="36" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-2.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(6,1)" onmouseover="javascript:if (vedge[6][1]<1) document.ve61.src=n0.src" onmouseout="javascript:if (vedge[6][1]<1) document.ve61.src=n3.src"><img name="ve61" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-2.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(6,2)" onmouseover="javascript:if (vedge[6][2]<1) document.ve62.src=n0.src" onmouseout="javascript:if (vedge[6][2]<1) document.ve62.src=n3.src"><img name="ve62" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-3.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(6,3)" onmouseover="javascript:if (vedge[6][3]<1) document.ve63.src=n0.src" onmouseout="javascript:if (vedge[6][3]<1) document.ve63.src=n3.src"><img name="ve63" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(6,4)" onmouseover="javascript:if (vedge[6][4]<1) document.ve64.src=n0.src" onmouseout="javascript:if (vedge[6][4]<1) document.ve64.src=n3.src"><img name="ve64" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-2.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(6,5)" onmouseover="javascript:if (vedge[6][5]<1) document.ve65.src=n0.src" onmouseout="javascript:if (vedge[6][5]<1) document.ve65.src=n3.src"><img name="ve65" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-6.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(6,6)" onmouseover="javascript:if (vedge[6][6]<1) document.ve66.src=n0.src" onmouseout="javascript:if (vedge[6][6]<1) document.ve66.src=n3.src"><img name="ve66" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-2.gif " border="0" height="36" width="36"></td> <td align="center"><a href="javascript:vmove(6,7)" onmouseover="javascript:if (vedge[6][7]<1) document.ve67.src=n0.src" onmouseout="javascript:if (vedge[6][7]<1) document.ve67.src=n3.src"><img name="ve67" src="game-javascript-math-ucla-blank.gif " border="0" height="36" width="8"></a> </td> <td align="center"><img src="game-javascript-math-ucla-5.gif " border="0" height="36" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="36" width="8"></td> </tr> <tr> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="36"></td> <td align="center"><img src="game-javascript-math-ucla-black.gif " border="0" height="8" width="8"></td> </tr> </tbody> </table> </td> <td> <textarea name="space" rows="12" cols="70"></textarea> </td> </tr> </tbody> </table> Rules:
The 28 dominoes have been arranged into a 7 by 8 rectangle on the left.
The actual placement of the dominoes has been omitted. You are to find
a placement of the dominoes that works by outlining each domino,
clicking on the lines that separate the dominoes. On the right, there
is a table that gives for each domino exactly how many possibilities
remain for the placement of that domino. This is for your information
only. There may be many solutions. You are only required to find one of
them.</center>
<a href="http://www.math.ucla.edu/%7Etom/Games/dominstructions.html ">Instructions</a> .
</body> </html>
(C) Æliens
20/2/2008
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