When an INTP has a crush on someone, their behavior may vary depending on their level of comfort and confidence. However, here are some common traits and behaviors that an INTP may exhibit around their crush:

1. Analytical and Observant: INTPs are naturally curious and observant individuals. When they have a crush, they may spend a significant amount of time analyzing and observing their crush's behavior, interests, and preferences. They may try to understand their crush on a deeper level, often through indirect means like social media or mutual friends.

2. Reserved and Introverted: INTPs are typically introverted and tend to keep their emotions and thoughts to themselves. Around their crush, they may become even more reserved and cautious, as they fear being vulnerable or making a wrong impression. They may struggle with initiating conversations or expressing their feelings directly.

3. Intellectual Engagement: INTPs are known for their love of intellectual discussions and debates. When they have a crush, they may try to engage their crush in conversations that stimulate their minds. They may share interesting articles, ask thought-provoking questions, or discuss complex topics to establish a connection based on intellectual compatibility.

4. Awkwardness and Nervousness: INTPs often struggle with social interactions, especially when it comes to romantic interests. They may feel awkward and nervous around their crush, leading to stumbling over words, blushing, or avoiding eye contact. This behavior stems from their fear of saying something wrong or being misunderstood.

5. Indirect Flirting: INTPs may not be the most skilled at traditional flirting techniques. Instead, they may resort to more subtle and indirect methods of showing interest. They may engage in playful teasing, sarcasm, or witty banter as a way to express their attraction. However, this can sometimes be misinterpreted, as their intentions may not be immediately clear.

6. Deep Listening and Understanding: INTPs have a natural inclination to listen attentively and understand others deeply. When they have a crush, they may make a conscious effort to be an active listener, showing genuine interest in their crush's thoughts, feelings, and experiences. They may ask insightful questions and provide thoughtful responses, making their crush feel valued and understood.

7. Reserved Displays of Affection: INTPs may struggle with openly expressing their affection and emotions. Instead, they may show their interest through small gestures or acts of kindness. They may offer help, provide thoughtful gifts, or engage in activities that align with their crush's interests. These reserved displays of affection are their way of showing care and consideration.

8. Need for Personal Space: INTPs highly value their personal space and independence. When they have a crush, they may need time alone to process their emotions and recharge. They may retreat into their own thoughts or hobbies, which can sometimes be misinterpreted as disinterest. It's important for their crush to understand and respect their need for solitude.

Overall, an INTP's behavior around their crush is characterized by a combination of intellectual engagement, reservedness, and subtle displays of affection. They may struggle with expressing their emotions directly but will often show their interest through their actions and deep understanding of their crush.