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      Learnt this from one of the Graphics Gems books years ago; used it to good effect with graph paper on train journeys to get some nice round towers in Minecraft.

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        This is a great article. The differences become really glaring when zoomed out, clever idea.

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          I only glanced at the algorithm, but: is the algorithm minimising only the error for the next step or globally? Could a small error in the current step force a larger error in the next one that is overall larger?