The slider arrived in v39
Official v39 notes introduced cash injection in the upgrade prompt at reduced efficiency relative to absorbed towers. The maintained conversion here uses price × 1.05 / 20,000 per Power. The slider let players replace some tower placement with direct spending.
During v39–v56.3, cash capped at 60,000, damage at 90,000 and tiers at 10,000. These historical numbers are retained in the v56.3 calculator, rather than applied to current v57 plans.
Boss stages changed too
Official v39 notes raised the general Boss stage increment from 20% to 25% every 20 Degrees. Older Popology tables with 20% steps should not be treated as current. A stage factor remains distinct from final damage for individual attacks or abilities.
What v57 superseded
v57 removed tier Power and expanded cash to 80,000 and damage to 125,000. New plans use that profile unless the actual platform runs an older release. This URL remains a historical v39 explanation; the separate v57 page contains a true two-profile comparison.