DW equals 2√2 for the ℓ₂-ℓ₁ space and 8(2-√3) for the two-dimensional space whose unit sphere is a dodecahedron.
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Some results on the Dunkl-Williams constant
DW equals 2√2 for the ℓ₂-ℓ₁ space and 8(2-√3) for the two-dimensional space whose unit sphere is a dodecahedron.