Mon Prof Augmenté
Scaling a Model
Age 14 · Maths
Distances from fixed reference points are multiplied by the same factor. The new point lies where three distance arcs meet.
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In the picture
- The small statue: the original model whose points are copied at a larger size
- A fixed base rod: a reference point from which a distance is measured
- Two crossed arcs: distance circles from two reference points intersect at possible locations
- The marked meeting point: the position fixed by the third distance
Examples
- A map enlarging a route from three landmarks.
- A 3D printer scaling a figurine using fixed anchor points.
Key takeaways
- Multiplying all distances from the same reference points scales the whole 3D model.
- A point in space is located by distances from three non-collinear reference points.
Quiz: Scaling a Model (Age 14)
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If every distance from the same reference points is multiplied by the same factor, what happens to the whole 3D model?
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How many non-collinear reference points are needed to locate a point in space using distances?
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When a point is scaled using distance arcs, where is its new position fixed?
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