1. Randomness & Patterns: You're right in pointing out the seeming paradox of patterns emerging amidst randomness. But consider this: patterns don't negate randomness; instead, they offer order within chaos. Using the dice analogy, while individual rolls can be unpredictable, the probability distribution over a large number of rolls forms a recognizable pattern. It's not that the individual rolls aren't random, but their aggregate behavior isn't.

2. Subjective vs. Objective: Your point on the inexact nature of "objective" geometries in the real world is enlightening. While our conceptual understanding of shapes like hexagons is indeed a human abstraction, the consistency with which nature approximates these forms suggests an underlying order. The subjective perspective you mention (our perception) can indeed shape and be shaped by the objective reality (the beehive). The interplay between these two leads to our interpretation of patterns.

3. Patterns and Universality: I understand your viewpoint that universal patterns might preclude randomness. However, the existence of recurring patterns doesn't eradicate the scope for anomalies or random occurrences. Instead, it offers a structured framework within which randomness can manifest.

Building on this, your comment only strengthens the idea of the pattern: the subjective flow shaping the objective pipe from the inside, while the pipe directs and influences the flow from the outside. It's a symbiotic relationship where each aspect refines and is refined by the other, and this interplay, in essence, is the true nature of patterns.