The search for the elusive dark matter is famous. Here I will discuss the discovery of a different kind of dark matter in interstellar space, which I call cobwebs of space. This dark matter is just as elusive as the more famous, but probably fictitious, dark matter. The appearance of this dark matter, which forms dark filaments in space is referred to herein as interstellar dust filaments. This is because they are like the dark clouds that populate interstellar space, but they are long and narrow and crisscross throughout space forming the appearance of a dark cobweb that overlies all of the space through which we view distant celestial objects.