Array problems when retrieving data from a database

I am trying to get some data from my database and then pass it to an array for later use. I am using MySQLi for my driver.

Here is my code:

// Build a query to get skins from the database
$stmt = $mysqli->prepare('SELECT id, name, description, author, timestamp, url, preview_filename FROM `skins` LIMIT 0, 5');
$stmt->execute();
$stmt->bind_result($result['id'], $result['name'], $result['desc'], $result['auth'], $result['time'], $result['url'], $result['preview']);

// The skins array holds all the skins on the current page, to be passed to index.html
$skins = array();
$i = 0;
while($stmt->fetch())
{
    $skins[$i] = $result;
    $i++;
}

print_r($skins);

The problem is that when this is done, the array $skinscontains the last row of the result from the query. This is print_r from $ skins:

Array
(
    [0] => Array
        (
            [id] => 3
            [name] => sdfbjh
            [desc] => isdbf
            [auth] => dfdf
            [time] => 1299970810
            [url] => http://imgur.com/XyYxs.png
            [preview] => 011e5.png
        )

    [1] => Array
        (
            [id] => 3
            [name] => sdfbjh
            [desc] => isdbf
            [auth] => dfdf
            [time] => 1299970810
            [url] => http://imgur.com/XyYxs.png
            [preview] => 011e5.png
        )

    [2] => Array
        (
            [id] => 3
            [name] => sdfbjh
            [desc] => isdbf
            [auth] => dfdf
            [time] => 1299970810
            [url] => http://imgur.com/XyYxs.png
            [preview] => 011e5.png
        )

)

As you can see, the last query result fills all the array entries for some reason.

Can someone explain this behavior and tell me what I'm doing wrong? Thank you. :)

EDIT: Here's the solution:

while($stmt->fetch())
{
    foreach($result as $key=>$value)
    {
        $tmp[$key] = $value;
    }
    $skins[$i] = $tmp;
    $i++;
}