Final answer:
The beadlike structures of chromosomes within the nucleus between cell divisions are known as chromatin, which is DNA wrapped around histone proteins.
Step-by-step explanation:
The beadlike structures of chromosomes within the nucleus between periods of cell division are chromatin. Chromatin is composed of DNA wrapped around histone proteins, forming units called nucleosomes. These structures resemble beads on a string and are visible when chromosomes are not condensed. During interphase, the DNA-protein complex is in the form of chromatin, enabling access for transcription while maintaining the complex organization of the chromosome. During cell division, chromatin condenses into the more familiar X-shaped structures that are commonly thought of as chromosomes.