Wordpress - ajax category filter

Not sure if you've solved this or not but I was looking for a way to embed this within a page and filter posts by category.

I got this working so it displays all categories and the posts related. Put that in functions.php

function ajax_filter_posts_scripts() {
  // Enqueue script
  wp_register_script('afp_script', get_template_directory_uri() . '/js/ajax-filter-posts.js', false, null, false);
  wp_enqueue_script('afp_script');

  wp_localize_script( 'afp_script', 'afp_vars', array(
        'afp_nonce' => wp_create_nonce( 'afp_nonce' ), // Create nonce which we later will use to verify AJAX request
        'afp_ajax_url' => admin_url( 'admin-ajax.php' ),
      )
  );
}
add_action('wp_enqueue_scripts', 'ajax_filter_posts_scripts', 100);

// Script for getting posts
function ajax_filter_get_posts( $taxonomy ) {

  // Verify nonce
  if( !isset( $_POST['afp_nonce'] ) || !wp_verify_nonce( $_POST['afp_nonce'], 'afp_nonce' ) )
    die('Permission denied');

  $taxonomy = $_POST['taxonomy'];

  // WP Query
  $args = array(
    'category_name' => $taxonomy,
    'post_type' => 'post',
    'posts_per_page' => 10,
  );
  echo $taxonomy;
  // If taxonomy is not set, remove key from array and get all posts
  if( !$taxonomy ) {
    unset( $args['tag'] );
  }

  $query = new WP_Query( $args );

  if ( $query->have_posts() ) : while ( $query->have_posts() ) : $query->the_post(); ?>
    <h2><a href="<?php the_permalink(); ?>"><?php the_title(); ?></a></h2>
    <?php the_excerpt(); ?>

  <?php endwhile; ?>
  <?php else: ?>
    <h2>No posts found</h2>
  <?php endif;

  die();
}

add_action('wp_ajax_filter_posts', 'ajax_filter_get_posts');
add_action('wp_ajax_nopriv_filter_posts', 'ajax_filter_get_posts');

Then, add this in your page template:

<?php $args = array(
            'post_type' => 'post',
            'posts_per_page' => 10,
        );

        $query = new WP_Query( $args );

        $tax = 'category';
        $terms = get_terms( $tax );
        $count = count( $terms );

        if ( $count > 0 ): ?>
            <div class="post-tags">
            <?php
            foreach ( $terms as $term ) {
                $term_link = get_term_link( $term, $tax );
                echo '<a href="' . $term_link . '" class="tax-filter" title="' . $term->slug . '">' . $term->name . '</a> ';
            } ?>
            </div>
        <?php endif;
        if ( $query->have_posts() ): ?>
        <div class="tagged-posts">
            <?php while ( $query->have_posts() ) : $query->the_post(); ?>

            <h2><a href="<?php the_permalink(); ?>"><?php the_title(); ?></a></h2>
            <?php the_excerpt(); ?>

            <?php endwhile; ?>
        </div>

        <?php else: ?>
            <div class="tagged-posts">
                <h2>No posts found</h2>
            </div>
        <?php endif; ?>

Hope that helps solve your problems!