Lets use the example of intentional ignorance to illustrate the Twelve Nidanas of dependent origination.
1. Ignorance (avijja): The person intentionally avoids or denies understanding the true nature of reality or the consequences of their actions.
2. Mental formations (sankhara): Due to intentional ignorance, the person forms habitual patterns of avoiding or denying aspects of reality, which drive their thoughts and actions.
3. Consciousness (viññana): The persons consciousness is conditioned by these mental formations, making them prone to continue ignoring or denying certain aspects of reality.
4. Name and form (nama-rupa): The persons body and mind (psychophysical constituents) manifest in a way that reinforces their intentional ignorance.
5. The six sense bases (salayatana): The persons sense organs interact with the external world.
6. Contact (phassa): The person encounters situations or stimuli that challenge their intentional ignorance, but they refuse to engage with them.
7. Feeling (vedana): The person may experience an uncomfortable feeling as a result of their intentional ignorance, but they continue to cling to their views.
8. Craving (tanha): The person may crave reinforcement of their intentional ignorance and seek out sources that support their views.
9. Clinging (upadana): The persons attachment to their intentional ignorance intensifies, and they become more resistant to changing their views.
10. Becoming (bhava): This clinging to intentional ignorance reinforces the persons habitual patterns and karmic tendencies, leading to further entrenchment in ignorance.
11. Birth (jati): The persons intentional ignorance manifests in the form of willful blindness or denial, leading to negative consequences in their life and those around them.
12. Old age and death (jara-marana): Ignorance and its consequences, if left unaddressed, can lead to physical, mental, and emotional suffering and perpetuate negative consequences in future situations or even future lives.
In this example, we can see how the Twelve Nidanas apply to the arising and perpetuation of intentional ignorance. By understanding the dependent origination of ignorance and recognizing the interdependence of the Twelve Links, a person can work towards breaking the cycle of intentional ignorance and cultivate greater wisdom, compassion, and insight.

How to break cycle at each point:

To break the cycle of intentional ignorance at each point of dependent origination, we could apply the following:

1. Ignorance (avijja): One can break the cycle of intentional ignorance at the first link of dependent origination, by cultivating awareness and a willingness to explore and examine our views and beliefs. This involves recognizing and acknowledging the limitations of our perspective, seeking out new information or perspectives, and being open to changing our views when confronted with evidence or new information.

2. Mental formations (sankhara): By being mindful of our thoughts and cultivating positive mental habits, we can break the cycle of negative conditioning driven by intentional ignorance. Practicing meditation, reflection, and self-awareness can help us recognize our biases and conditioning and replace them with more positive states of mind.

3. Consciousness (viññana): By cultivating a clear and open-minded consciousness, we can begin to see beyond our preconceived notions and recognize the limitations of our perspective. Practicing mindfulness meditation can help us develop a clearer and more accurate understanding of reality, leading to greater wisdom and insight.

4. Name and form (nama-rupa): By taking care of our physical and mental health, we can create a solid foundation for breaking the cycle of intentional ignorance. This involves maintaining a balanced lifestyle and cultivating positive mental habits, including self-reflection, self-awareness, and conscious living.

5. The six sense bases (salayatana): By cultivating awareness of our senses and their input, we can recognize the ways in which our perceptions are shaped by intentional ignorance. By practicing mindfulness and reflection, we can become more attuned to the world around us and challenge our preconceived notions and biases.

6. Contact (phassa): By remaining open to new experiences and being willing to engage with the world around us, we can break the cycle of intentional ignorance at the point of contact. This involves challenging our preconceived notions and beliefs and being willing to engage with the world in new and different ways.

7. Feeling (vedana): By practicing mindfulness and self-compassion, we can break the cycle of negative emotions that arise from intentional ignorance. Practicing self-care, self-reflection, and self-awareness can help us cultivate a positive and compassionate relationship with ourselves and others.

8. Craving (tanha): By cultivating awareness of our desires and attachments, we can begin to let go of the craving that arises from intentional ignorance. Practicing mindfulness and self-reflection can help us recognize our desires and attachments and develop a more balanced and compassionate relationship with them.

9. Clinging (upadana): By cultivating a more flexible and open-minded perspective, we can break the cycle of clinging that arises from intentional ignorance. Practicing meditation and reflection can help us recognize when we are clinging to views or beliefs and cultivate a more flexible and open-minded approach to the world.

10. Becoming (bhava): By actively cultivating positive qualities and habits, we can break the cycle of negative conditioning that arises from intentional ignorance. This involves developing positive qualities like compassion, wisdom, and self-awareness and using them to shape our behaviors and interactions with the world.

11. Birth (jati): By actively engaging with the world around us and cultivating positive relationships, we can break the cycle of negative consequences that arise from intentional ignorance. This involves being willing to engage with the world in new and different ways and using our positive qualities and habits to shape our interactions with others.

12. Old age and death (jara-marana): By cultivating a more compassionate and open-minded perspective, we can break the cycle of suffering that arises from intentional ignorance. This involves recognizing the impermanence and transience of all things and cultivating a deeper understanding of the interconnected nature of reality, leading to greater wisdom, compassion, and well-being.