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HTML 

              
                <p>Recharger la page pour changer les couleurs des formes</p>

<div class="conteneur-flexbox">


<svg width="683px" height="527px" viewBox="0 0 683 527" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
	
			
        <g id="Custom-Preset-2" transform="translate(-53.000000, -26.000000)" fill="#D8D8D8" stroke="#232121" stroke-width="4">
					
            <polygon class="forme" id="Path" points="121.488281 57.96875 81.4921875 99.5195312 137.242188 177.785156 236.167969 127.503906 220.085938 68.90625 174.355469 68.90625 158.830078 30"></polygon>
					
            <polygon class="forme" id="Path-2" points="361.597656 36 321 102.359375 376.117188 191.058594 400.441406 124.90625"></polygon>
					
            <polygon class="forme" id="Path-3" points="561.84375 39.0351562 492.117188 51.6953125 485.273438 166.558594 614.109375 191.503906 715.976562 134.332031 733.082031 62.4140625 614.109375 102.296875"></polygon>
					
            <polygon class="forme" id="Path-4" points="97.796875 249.230469 249.394531 249.230469 227.140625 367.035156 173.595703 377.773438 141.882812 284.433594"></polygon>
					
            <polygon class="forme" id="Path-5" points="344.660156 238.417969 344.660156 375.507812 525.285156 375.507812 489.390625 293.605469 434.972656 326.210938 429.933594 247.136719 400 260.535156"></polygon>
					
            <polygon id="Path-6" points="625.59375 279.210938 620.550781 343.355469 648.257812 371.636719 704.316406 332.375 704.316406 297.328125 685.480469 290.871094 680.460938 267.59375 662.433594 274.347656 640.230469 256"></polygon>
					
            <polygon class="forme" id="Path-7" points="101.445312 490.980469 282.367188 444.871094 273.90625 538.640625 238.683594 482.046875 72.7109375 550.148438 56.453125 497.509766"></polygon>
            <polygon class="forme" id="Path-8" points="388.8125 459.335938 373.183594 514.734375 403.609375 550.507812 490.757812 527.636719 517.453125 473.300781 470.097656 496.179688 470.097656 437.730469 445.318359 429 445.318359 473.300781 398.121094 429 368 437.730469"></polygon>
					
            <polygon class="forme" id="Path-9" points="624.234375 446.902344 594 504.34375 656.289062 550.378906 717.4375 504.34375 710.339844 425"></polygon>
        </g>

</svg>
	
	</div>
!

CSS 

              
                body {
	text-align:center;
	font-family:verdana;
}

/*le positionnement du svg dans la page*/
.conteneur-flexbox {
  height: 90vh;
  width: 100%;
  display: flex;
}

svg {
	margin:auto;
}


/*la class appliquée à chaques formes*/
.forme {
	fill: red;
}

/*les class de différentes couleurs*/
.change-color1 {
	fill: orange;
}
.change-color2 {
	fill: green;
}
.change-color3 {
	fill: pink;
}
.change-color4 {
	fill: yellow;
}
.change-color5 {
	fill: grey;
}
.change-color6 {
	fill:#651FFF;
}
!

JS 

              
                
(function($){

	$(document).ready(function() {
		var classes = [ 'change-color1', 'change-color2', 'change-color3', 'change-color4', 'change-color5', 'change-color6' ]; // les class que vous voulez ajouter
		$('.forme').each(function(i) { // l'élément auquel vous voulez ajouter ces class
			$(this).addClass(classes[ Math.floor( Math.random()*classes.length ) ] );
		});
	});

})(jQuery);
!
999px

Console