US Patent 10940419 Honeycomb filter

A honeycomb filter including:a pillar-shaped honeycomb structure including porous partition walls; andporous plugging portions disposed on either one of end portions of each of the cells, whereina porosity (%) of the partition walls is defined as P1,a porosity (%) of the plugging portions is defined as P2,an occupancy (%) of the partition walls relative to an area of a cross section orthogonal to an extending direction of the cells of the honeycomb structure is defined as N1,the P1 is 50 to 65%,the P2 is 60 to 70%,the N1 is 22 to 39%, andX represented by Formula (1) satisfies a relation of Formula (2):X=P1/P2×N1,  Formula (1):18.80≤−0.19X2+11.33X−121.63≤50.50.  Formula (2):