Tangled active filaments are ubiquitous in nature, from chromosomal DNA and cilia carpets to root networks and worm collectives. How activity and elasticity facilitate collective topological transformations in living tangled matter is not well understood. In this talk, I will share our discoveries on why aquatic worms braid, tangle, and knot with their neighbors to form extraordinary mechano-functional living blobs - the stuff of science fiction. I will discuss how these soft, squishy, and 3-D blobs rapidly morph their shape, crawl, float, climb,  self-assemble, and disassemble topological tangles. Using both mathematical models and robotic analogs, I will discuss how these “living polymers” solve Gordian knot problems using clever biophysics mechanisms that open a path to new classes of active topologically tunable robotic swarms.