A convex hull of seeded points on a sphere — every face is a triangle, none of them regular. Count is how many vertices; jitter breaks the even packing.
Points on a Fibonacci sphere, jittered, then the convex hull. Every face is a triangle; none of them are regular. Count is vertices; jitter breaks the even packing. A deltahedron is any polyhedron of triangles — this one is irregular on purpose.
deltahedraisometric
1D foldA hinge strip of triangles. Close the strip in space and every face stays a triangle — a deltahedron.