The International Cryosphere Climate Initiative and the UN Environment Programme have assembled 80 scientists to deliver a verdict that demolishes a comforting assumption: that overshooting the 1.5°C Paris target and coming back later is a manageable strategy. For ice, it is not. The cryosphere responds to every fraction of a degree, and much of what melts does not return on any human timescale. The numbers are stark. Current policies put peak warming at roughly 2.8°C. At that trajectory, glaciers in the Rockies, Alps, Iceland, and Scandinavia lose over 90% of their mass. In the Hindu Kush Himalayas — water source for nearly a quarter of humanity — just 41% of ice mass survives, compared to 83% if warming is held to 1.5°C. Even the optimistic 1.5°C scenario leaves glaciers preserving only about 70% of current volume over centuries if long-term heating is brought back down to 0.8°C. Greenland and Antarctic ice sheets are melting roughly six times faster today than in the 1990s, and the report concludes they would continue losing ice even in the best overshoot-and-return scenarios. The scientists identify a safe long-term temperature limit for polar ice sheets at much closer to 1.0°C — a level the planet has already exceeded. This is the report's sharpest finding: the safe guardrail for ice is behind us, not ahead. The consequences cascade. Thawing permafrost releases additional planet-heating gas, creating a feedback loop. Ocean circulation faces "severe and possibly abrupt" disruption at high overshoot. Sea level rise from ice sheet loss threatens hundreds of millions of people in coastal regions. Switzerland has already lost 20% of its glacier ice in just the last five years, and thousands of glaciers worldwide are expected to go extinct in the coming decade. The report lands as COP31 opens in Turkey and follows a UNEP finding that the world must cut emissions 18% by 2030 and 45% by 2035 to have a reasonable chance of limiting warming to 1.7°C — itself above the 1.5°C target. The scientists urge not only minimizing overshoot duration but actively removing enough atmospheric carbon to bring long-term warming below 1.0°C by 2150. That is not a policy tweak; it is a civilizational engineering project with no precedent. The Nepal-China border ice-rock avalanche this year killed thousands and caused damage equivalent to 10% of Nepal's GDP in a single event — a preview of cryosphere collapse as infrastructure risk. Bill Hare of Climate Analytics, independent of the report, was blunt: every government minister and fossil fuel executive who watered down climate action can see in these findings "how their actions have fundamentally damaged the world we live in." The core message is a ratcheting of urgency that reframes the entire overshoot debate. Overshoot is not a temporary inconvenience followed by recovery. For the cryosphere, it is a permanent alteration of Earth's physical systems, with costs measured in centuries of elevated sea levels, lost water security, and feedback-driven warming that makes the original problem worse.