To determine which of the following does not show divergent evolution, we need to understand the concept of divergent evolution itself.
### Step-by-Step Solution:
1. **Understanding Divergent Evolution**:
- Divergent evolution occurs when two or more species that share a common ancestor evolve different traits or characteristics over time. This process leads to the formation of new species from a common lineage.
2. **Identifying Homologous Structures**:
- In divergent evolution, species may have homologous structures, which are similar in origin but may serve different functions. For example, the forelimbs of humans, bats, and cheetahs have a similar bone structure but are adapted for different functions (manipulation, flying, and running, respectively).
3. **Analyzing the Options**:
- **Option 1**: Brain of bat and cheetah - Both belong to vertebrates and share a common ancestor, indicating divergent evolution.
- **Option 2**: Heart of bat and cheetah - Similar reasoning as above; they are both vertebrates and show divergent evolution.
- **Option 3**: Forelimbs of man, bat, and cheetah - Again, these structures are homologous and indicate divergent evolution.
- **Option 4**: Eyes of octopus, bat, and man - Here, the octopus is an invertebrate and does not share a common ancestor with bats and humans, indicating that this does not represent divergent evolution.
4. **Conclusion**:
- The correct answer is the **eyes of octopus, bat, and man**, as this option does not show divergent evolution due to the lack of a common ancestor between the octopus and the vertebrates.
### Final Answer:
The option that does not show divergent evolution is **the eyes of octopus, bat, and man**.