Exponential Value Curve
The toppling of domino tiles illustrates how exponential growth operates in real‑world phenomena: each tile represents a value point on a curve, and each subsequent tile falls as a consequence of the one before it — just as a value increases in relation to its predecessors.
The two smallest values on the curve correspond to the first two tiles. In the photograph they lie perfectly horizontal, forming a straight line that expresses a simple relationship.
1 + 1 = 2
This marks the beginning of the curve: the first two points, between which a straight line can be drawn because the change between them is constant. But the moment we move to the third tile, the phenomenon breaks away from the straight line. The value no longer grows linearly; instead, it shifts onto a curve, where each point represents a new value of the product or phenomenon. This structure corresponds precisely to the initial configuration of the Fibonacci sequence.
1 – 1 – 2
The first two values are fixed, but the third arises from the sum of the preceding ones. From that point onwards, every value becomes part of a rising curve rather than a straight line. In this way, the toppling of dominoes, the initial section of a value curve, and the fundamental structure of the Fibonacci sequence together form a clear and intuitive model of how phenomena shift from a linear beginning into exponential growth.
The spacing between the domino tiles represents the distance between points on an value curve. If the gap is too small, the tiles fail to fall properly; if the gap is too wide, they can no longer reach one another. The smallest functional unit is determined by the size of the tile itself, which sets the minimum and maximum workable spacing.
The positioning of the dominoes defines the shape of the curve. As each tile falls onto the next, it creates a flowing, sequential arc — a physical analogue of how a value curve forms point by point, each value leaning on the one before it.
In the same way EP-calculation is a location‑dependent method: every computed value depends on where it sits on the curve and what the preceding values imply. It is not an isolated formula but a chain of relationships, just as a line of dominoes is a chain of physical interactions.
7.4.2015*10:30 (787 - 1037)
www.karikolehmainen.com
epcalculation@gmail.com |
