An apparatus for a mapping catheter comprising: a tubular member extending along a longitudinal axis (L-L); a first loop member comprising two spine members (1A, 1B) extending from the tubular member and connected to an arcuate member, the first loop member arrayed on a first plane; a second loop member comprising two spine members (2A, 2B) extending from the tubular member and connected to an arcuate member, the second loop member arrayed on a second plane that intersects with the first plane; a third loop member comprising two spine members (3A, 3B) extending from the tubular member and connected to an arcuate member, the third loop member arrayed on a third plane that intersects with the first plane and the second plane so that majority of the length each of the three loop members is non-coplanar with the majority of the length of at least one of the other three loop members in an unconstrained configuration, each of the three loop members respectively comprising a support frame (81, 82, 83) extending through a respective loop member of the three loop members and affixed to a distal portion of the tubular member, each of the respective support frames defining a respective looped path of the respective loop member, and each of the respective support frames comprising a respective cross sectional shape orthogonal to the respective looped path, each of the respective cross sectional shapes varying along the respective looped path; and each of the first, second and third loop members including a plurality of electrodes disposed thereon each loop member. a tubular member extending along a longitudinal axis (L-L); a first loop member comprising two spine members (1A, 1B) extending from the tubular member and connected to an arcuate member, the first loop member arrayed on a first plane; a second loop member comprising two spine members (2A, 2B) extending from the tubular member and connected to an arcuate member, the second loop member arrayed on a second plane that intersects with the first plane; a third loop member comprising two spine members (3A, 3B) extending from the tubular member and connected to an arcuate member, the third loop member arrayed on a third plane that intersects with the first plane and the second plane so that majority of the length each of the three loop members is non-coplanar with the majority of the length of at least one of the other three loop members in an unconstrained configuration, each of the three loop members respectively comprising a support frame (81, 82, 83) extending through a respective loop member of the three loop members and affixed to a distal portion of the tubular member, each of the respective support frames defining a respective looped path of the respective loop member, and each of the respective support frames comprising a respective cross sectional shape orthogonal to the respective looped path, each of the respective cross sectional shapes varying along the respective looped path; and each of the three loop members respectively comprising a support frame (81, 82, 83) extending through a respective loop member of the three loop members and affixed to a distal portion of the tubular member, each of the respective support frames defining a respective looped path of the respective loop member, and each of the respective support frames comprising a respective cross sectional shape orthogonal to the respective looped path, each of the respective cross sectional shapes varying along the respective looped path; and each of the first, second and third loop members including a plurality of electrodes disposed thereon each loop member.