Interactive experiments
The conceptual claims developed across this site become easier to understand when they can be manipulated directly. The experiments presented here function as exploratory instruments for reasoning about (L_d(\varepsilon)), the measured boundary length that emerges from the interaction between delineation choice and measurement scale.
These figures should not be read as definitive empirical analyses. They are synthetic and conceptual by design. Their purpose is to isolate mechanisms that are otherwise difficult to see: how a boundary changes when its underlying definition is altered, how the same boundary appears different when measured with different effective ruler lengths, and how these two sources of variation may be mistaken for one another when they are not explicitly separated.
What the reader is invited to explore, then, is not merely a set of controls, but a spatial argument. As the assumptions change, the geometry of the boundary responds. The interface becomes smoother or more intricate, shorter or longer, more aggregated or more fragmented. In this way the figures translate an abstract methodological problem into a visible and manipulable one.
The experiments are therefore best understood as part of the reasoning structure of the manuscript. They do not replace formal analysis, but they make the logic of that analysis easier to see.
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