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...U d m project report measure theory fractal geometry and their applications on digital sundials arvid tornblom examensarbete i matematik hp handledare konstantinos tsougkas examinator veronica crispin quinonez augusti department of mathematics uppsala university abstract thedigital sundial is a recent invention that displays the time day in digits at surface by projecting shadow it contains no moving or electrical parts based theorem from this thesis we will study which upon necessary theoretic background to understand contents introduction algebras measures lebesgue non measurable sets fractals dimension projection...