Interlocking masonry system

A mortarless masonry structure comprising:

• a plurality of masonry elements, wherein each masonry element includes:
• an element body having a perimeter wall defined by height and having parallel top and bottom surfaces, each of the top and bottom surfaces having an external lunate shape;
• wherein:
• the external lunate shape is defined by a material section resulting from a symmetrical lens cut away from a first circle having a first radius,
• the symmetrical lens is a result of an intersection of the first circle with a second circle having a second radius equivalent to the first radius;
• a distance between a center of the first circle and a center of the second circle is greater than each of the first and second radii;
• the external lunate shape is configured to nest an analogous interfacing masonry element within the symmetrical lens and thereby provide a spherical first interlocking masonry joint therebetween;
• and
• at least one of the top surface and the bottom surface is configured to nest therein a second interfacing masonry element and thereby provide a tapered second interlocking masonry joint.