Binary Space Partitioning

Explanation:

- **Binary Space Partitioning** is a technique used for recursively dividing a space into two half-spaces by hyperplanes (lines in 2D, planes in 3D).
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- It is used in **computer graphics**, **collision detection**, and **ray tracing**.

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Steps:

• The space is recursively divided by choosing hyperplanes (like splitting a 2D plane into two parts).
• BSP trees store this hierarchical structure, which can be traversed for efficient querying of the space.

Time Complexity:

• Insertion: O(log n)
• Querying: O(log n) for spatial queries.

class BSPTreeNode:
    def __init__(self, partition_plane=None):
        self.partition_plane = partition_plane
        self.front = None
        self.back = None
 
class BSPTree:
    def __init__(self):
        self.root = None
    
    def insert(self, partition_plane):
        # Insert partition and construct BSP tree
        pass
 
# Example usage
bsp_tree = BSPTree()
bsp_tree.insert("partition1")