Adding custom taxonomies to a class in wrapping div

Hi all, I’ve been trying to create a portfolio with the isotope jquery plugin.

I’ve got the loop to work and to filter based on this:

$categories=get_categories(‘taxonomy=types’);

My question is how do I get the taxonomy=types tags to display as a class in my div wrapping my posts? I tried using this:

<?php $categories=get_categories('taxonomy=types');
		foreach($categories as $category) {
			echo $category->name . ' ';
		}
	?>

but that gets every single tag under the taxonomy types and thus the isotope filter doesn’t work any help or a point in the right direction would be greatly appreciated!

Here’s my entire code:

<h2>Filter the Content</h2>
<ul id="filters">
	 <li><a href="#" data-filter="*">show all</a></li>
	<?php $categories=get_categories('taxonomy=types');
		foreach($categories as $category) {
			//and format them for use as isotope filters
			echo '<li><a href="#" data-filter=".' . $category->slug . '" ' . '>' . $category->name . '</a></li>';
		}
	?>
</ul>

  <div id="container" class="featuresLoop clearfix">
<?php $counter =0; ?>
<?php $my_query = new WP_Query('post_type=templates&showposts=10'); while ($my_query->have_posts()) : $my_query->the_post(); ?>
<?php   ++$counter;
  if($counter == 5) {
    $postclass = 'fifth';
    $counter = 0;
  } else { $postclass = ''; }
  ?>
<div class="element actinoid inner-transition featContent <?php echo $postclass; ?> <?php $categories=get_categories('&post=ID,&taxonomy=types'); foreach($categories as $category) { echo $category->slug . ' ';} ?>" data-symbol="Hg" data-category="transition">
<a href="<?php the_permalink(); ?>"><?php the_post_thumbnail();?>
<div class="featContentBtm">
	<?php the_title();?>

</div></a>
</div>
<?php endwhile; ?>

Thanks!