46 citations · 151 across the 23 of their papers we have counts for
Showing 2026 · math.MGShow all
3 papers · 2 filters
math.MG2026
Axis-parallel square packing with an exact formula for optimal packing of seven squares
Matthew Badger
How large a square is needed to hold axis-parallel squares of prescribed side lengths? We give exact formulas for the optimal side through seven squares, with explicit construction…
math.MG2026
Space-filling surfaces: sharp Hölder continuous parameterizations from squares to cubes
Matthew Badger, Kevin Palmer
Following a hint of Semmes, we employ Stong's bijections between integer lattices to construct space-filling surfaces, which are higher-dimensional analogues of space-filling curve…
math.MG2026
Tangents to Lipschitz and Sobolev images
Matthew Badger, Jared Krandel, Vyron Vellis
We develop geometric versions of Rademacher and Calderon type differentiability theorems in two categories. A special case of our results is that for any Lipschitz or continuous $W…