A smaller 2:1 table can preserve a drawing’s proportions. It does not automatically preserve the physical shot, the available clearance or a system’s empirical correction.
Scale a position explicitly
For a purely illustrative transfer from 2.84 × 1.42 m to 2.30 × 1.15 m, use x′ = x × 2.30/2.84 and y′ = y × 1.15/1.42. A centre at (0.710, 0.355) m becomes (0.575, 0.2875) m. These example dimensions do not certify a particular table or competition standard.
Do not shrink the real balls
If the same ball set is used, its diameter does not shrink with the table. After scaling centres, check ball-to-ball separation and distance from each cushion against the actual radius. Two balls that cleared one another in the larger drawing can become too close. An ideal reflected ray has no ball radius; a physical shot does.
Keep the chart’s conventions
Preserve which number scale belongs to departure, first-cushion aim and arrival. Do not multiply every diamond value by the length ratio: normalized system values are not centimetres. Physical marks behind a cushion and points on its nose also remain different references. An 8-by-4 interval drawing is a notation choice, not proof of the smaller table’s markings.
Build a local reference
Measure the playing area and use one clearly documented starting layout. Compare the intended contact sequence with repeated observations; then test a nearby layout before transferring any adjustment. Cushion construction, ball condition and speed can change the outcome. Record actual results rather than adding a universal half-diamond correction or declaring that a smaller table is always easier.
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