Spirogyra and Mucor are both organisms that reproduce asexually through fragmentation.
Spirogyra reproduces asexually by fragmentation, which occurs when the filament breaks into individual cells that can grow into new filaments. When the filament breaks, the cells at the breakpoints can grow and divide to form new filaments. This allows for the rapid proliferation of Spirogyra populations in favorable environments.
Mucor also reproduces asexually through fragmentation, but in a different way. Mucor reproduces by forming sporangiospores, which are spores formed at the end of a sporangium. When the sporangiospore is mature, it will detach from the sporangium and will grow into a new individual.
In addition, Mucor also reproduce asexually through the formation of asexually produced reproductive structures called rhizoids. Rhizoids are small, finger-like projections that develop from the mycelium, which is the vegetative part of the fungus that consists of branched, thread-like hyphae. Rhizoids can grow into new individuals, and in this way, Mucor can reproduce asexually through fragmentation of the mycelium.