Lets use the example of vengefulness to illustrate the Twelve Nidanas of dependent origination.
1. Ignorance (avijja): The person lacks understanding of the true nature of reality, including the interconnectedness of all beings and the impermanence of all phenomena.
2. Mental formations (sankhara): Due to ignorance, the person has formed habitual patterns of seeking revenge or holding grudges against others.
3. Consciousness (viññana): The persons consciousness is conditioned by these mental formations, making them prone to vengeful thoughts and actions.
4. Name and form (nama-rupa): The persons body and mind manifest in a way that is susceptible to vengefulness.
5. The six sense bases (salayatana): The persons sense organs interact with the external world, including perceptions of past and present harm.
6. Contact (phassa): The person encounters a stimulus (e.g., perceived harm or injustice) that triggers vengeful thoughts and emotions.
7. Feeling (vedana): The person experiences an unpleasant feeling as a result of the perceived harm, fueling their desire for revenge.
8. Craving (tanha): The person develops a strong desire to seek revenge or hold grudges as a way to address their perceived harm or injustice.
9. Clinging (upadana): The persons attachment to their desire for revenge or grudges intensifies, leading to a cycle of negative thoughts and emotions.
10. Becoming (bhava): This clinging to vengeful thoughts and emotions reinforces the persons habitual patterns and karmic tendencies.
11. Birth (jati): The persons vengeful thoughts and emotions manifest in harmful actions towards others, perpetuating the cycle of mental formations and consequences.
12. Old age and death (jara-marana): If left unchecked, the persons vengefulness can lead to physical, mental, and emotional suffering and perpetuate negative consequences in future situations or future lives.
In this example, we can see how the Twelve Nidanas apply to the arising and perpetuation of vengefulness. By understanding the dependent origination of vengefulness and recognizing the interdependence of the Twelve Links, a person can cultivate compassion and work towards breaking the cycle of vengefulness, ultimately leading to greater peace and freedom from suffering.

How to break cycle at each point:

To break the cycle of vengefulness at each point in the Twelve Nidanas of dependent origination, we can apply the following steps:

1. Ignorance (avijja): By investigating the nature of reality and developing insight into the interconnectedness of all beings, we can overcome our ignorance and develop a deeper understanding of the causes and conditions that give rise to vengefulness.

2. Mental formations (sankhara): By developing positive mental habits and cultivating a compassionate attitude towards others, we can weaken our tendencies towards vengefulness and replace negative habits with positive ones.

3. Consciousness (viññana): By cultivating mindfulness and developing awareness of our thoughts and emotions, we can gain insight into the workings of our consciousness and identify how vengeful tendencies arise in response to external stimuli.

4. Name and form (nama-rupa): By developing awareness of our physical and mental makeup and cultivating a sense of detachment towards our body and mind, we can reduce our identification with vengeful thoughts and emotions and become less reactive to perceived injustice.

5. The six sense bases (salayatana): By practicing restraint of the senses and cultivating mindfulness of sensory experiences, we can reduce our reactivity to external stimuli and avoid getting caught up in vengeful thought patterns.

6. Contact (phassa): By developing awareness of how our sense bases interact with their respective objects, we can gain insight into the causes and conditions of vengeful tendencies and respond more skillfully to perceived harm.

7. Feeling (vedana): By cultivating equanimity and acceptance towards our feelings, whether they are pleasant, unpleasant, or neutral, we can weaken the grip of vengeful tendencies and become less reactive to negative emotions.

8. Craving (tanha): By developing insight into the impermanence and unsatisfactoriness of craving and cultivating contentment with what we have, we can reduce our attachment to vengeful thoughts and desires.

9. Clinging (upadana): By developing awareness of how clinging leads to further suffering and cultivating a sense of detachment towards our vengeful thoughts and desires, we can weaken the grip of negative mental habits and reduce our attachment to negative patterns.

10. Becoming (bhava): By cultivating mindfulness and awareness of the causes and conditions that lead to vengeful tendencies, we can weaken these tendencies and avoid perpetuating negative karmic patterns.

11. Birth (jati): By avoiding harmful actions towards others and cultivating positive patterns of thought, speech, and action, we can prevent the birth of new negative karmic tendencies.

12. Old age and death (jara-marana): By avoiding negative patterns of behavior and cultivating positive habits, we can break free from the cycle of vengefulness and attain liberation from suffering, avoiding future rebirth and continued suffering.

In summary, breaking the cycle of vengefulness at each point of the Twelve Nidanas of dependent origination involves developing awareness, insight, and positive mental habits, and cultivating a sense of detachment and equanimity towards negative patterns of thought, emotion, and behavior. By doing so, we can weaken our vengeful tendencies and attain liberation from suffering.