$tile = TilesTile::find($tile_id);
      $tile->tags()->attach($tag_array);

<?php namespace Tiles;

use IlluminateDatabaseEloquentModel;

class Tile extends Model {

    /**
     * The Tile table
     * @var string
     */
    protected $table = 'tiles';

    /**
     * Pivot table for tags
     * @var string
     */
    protected $pivot = 'tag_tile';


    /**
     *  Get the tags associated with the given tile
     *
     * @return IlluminateDatabaseEloquentRelationsBelongsToMany
     */
   public function tags() {

        return $this->belongsToMany('TilesTag', $this->pivot, 'tile_id', 'tag_id')->withTimestamps();

    }

}