Foundations laboratory / Mathematics
Scale bench
A deterministic, prediction-first bench. Every control has units; every result has an inspectable table and static account.
Prediction
Predict the real length and direction of change before moving either control.
Real length divided by model length equals the selected scale denominator when both lengths use the same unit.
Practice only · this interaction never becomes mastery evidence.
Loading the verified local model…
Read the accessible static account
Compact scale
Twelve drawing centimetres at 1 to 10 represent one hundred twenty real centimetres, or 1.2 metres.
- model length cm
- 12
- real length cm
- 120
- real length m
- 1.2
- scale denominator
- 10
Expanded scale
With drawing length held fixed, increasing the denominator increases the represented real length proportionally.
- model length cm
- 12
- real length cm
- 300
- real length m
- 3
- scale denominator
- 25
Continue the record
Move between intuition and evidence.
Ephemerent News tells the result as an intuitive argument. Ephemerent Research preserves the paper, review, files, and version history. Atlas keeps this conceptual scenario available for sustained manipulation.