Theeffectofthefacethicknesstocoreheightratioondifferentmulti-layerpyramidalcoresandwichcolumnsunderin-planecompressionisinvestigatedtheoreticallyandnumerically.Numericalsimulationisingoodagreementwiththeory.Resultsindicatethatonespecifiedfacethicknesstocoreheightratiocorrespondstooneoptimumlayernumberofmulti-layerpyramidalcoresandwichcolumnsinconsiderationofengineeringapplication.Thisresultcanguidethesandwichstructuredesign.