PRAGUE, Oct 12 Reuters - Central Europe's currencies mostly fell on Tuesday, hit by a stronger U.S. dollar that cut into risk appetite while a Polish rate hike last week and a spike in Czech inflation failed to provide further momentum. Czech Republic's zloty and the dollar have been kept in check by the dollar so far this month - with the greenback's strength expected to keep increasing gains seen in the coming months, according to an October Reuters poll. That is happening even as the region's central banks have resumed policy tightening to calm inflation that is soaring to multi-year highs. Last week the central bank of Poland surprised the market when it delivered a 40 basis points increase in interest rates more quickly than any analysts expected. The zloty has since climbed back from a three week high to levels seen before the Oct 6 rate move. On Tuesday, they traded 4.585 to the euro at 0910 GMT. Political risks were also weigh, after Poland's highest court ruled last week that some parts of the Polish Constitution are incompatible with the European Union Treaties, thus escalating a dispute between Brussels and Warsaw. Bank Millennium said the start of rate hikes would buoy the zloty even as pressure was likely to remain in the coming days. Political factors limit the space for zloty appreciation, so information from this area may have a clearer impact on zloty performance, it said. On Tuesday, the crown slipped 0.2% to the dollar. This was one day after the data showed September inflation hit a 13-year high, surpassing analysts' expectations. The central bank said that the data showed faster rate increases than its forecast for summer 2016. Forward rates are now enlisting in around 100 basis points of rate hikes at the bank's final two sessions of 2021, following a September hike of 75 basis points - the bank's biggest upward move in 24 years caught markets by surprise. The crown has, but, since September has been stuck in a range between 25.300 to 25.500. The market is already pretty short EURCZK so not much to add at present, said a dealer. The Romanian judicial division also weakened, so low that they were down 0.2% to the euro, and Hungary's leu nudged lower despite inflation data surprising on the upside to its highest in a decade.