▁can ▁be ▁made ▁( clock wise ▁or ▁counter clock wise ) ▁with ▁the ▁same ▁vertex ▁arrangement . ▁It ▁can ▁be ▁seen ▁as ▁the ▁convex ▁form ▁with ▁ 4 ▁t etra hed rons ▁exc av ated ▁around ▁the ▁sides . ▁However , ▁after ▁this ▁it ▁can ▁no ▁longer ▁be ▁tri ang ulated ▁into ▁t etra hed ra ▁without ▁adding ▁new ▁vertices . ▁It ▁has ▁half ▁of ▁the ▁symmetry ▁of ▁the ▁uniform ▁solution : ▁D 4 ▁order ▁ 4 . ▁ ▁Cross ed ▁anti pr ism ▁A ▁crossed ▁square ▁anti pr ism ▁is ▁a ▁star ▁poly hed ron , ▁top olog ically ▁identical ▁to ▁the ▁square ▁anti pr ism ▁with ▁the ▁same ▁vertex ▁arrangement , ▁but ▁it ▁can ' t ▁be ▁made ▁uniform ; ▁the ▁sides ▁are ▁is os cel es ▁tri angles . ▁Its ▁vertex ▁configuration ▁is ▁ 3 . 3 / 2 . 3 . 4 , ▁with ▁one ▁triangle ▁retro grade . ▁ ▁It ▁has ▁d 4 d ▁symmetry , ▁order ▁ 8 . ▁ ▁Rel ated ▁poly hed ra ▁ ▁Der ived ▁poly hed ra ▁The ▁gy ro el ong ated ▁square ▁py ram id ▁is ▁a ▁Johnson ▁solid ▁( specific ally , ▁J 1 0 ) ▁constructed ▁by ▁augment ing ▁one ▁a ▁square ▁py ram id . ▁Similarly , ▁the ▁gy ro el ong ated ▁square ▁b ip y ram id ▁( J 1 7 ) ▁is ▁a ▁del t ah ed ron ▁( a ▁poly hed ron ▁whose ▁faces ▁are ▁all ▁equ il ater al ▁tri angles ) ▁constructed