Manuscript VII-E-ST@1 · VII-E-ST.tex · section · d28d9c5d

Transverse faces, edge laws, and affine charts

A four-face certificate and its supported 3+1 lift › Transverse faces, edge laws, and affine charts · lines 748–763

VII-E-ST@1#eq:fourplanes

Put

p = \frac{3}{5}, q = \frac{5}{13}, a = \frac{4}{5}, b = \frac{12}{13}, d = b - a = \frac{8}{65} .

For $- 1 \leq s \leq 1$ , define

F_{s} (x, y) = max {p x + a s, - p x + a s, q y + b s, - q y + b s} .

Label the four affine dominance regions $E, W, N, S$ .

Displayed formulas in this passage

VII-E-ST@1#eq:fourplanes · line 757
$F_{s} (x, y) = max {p x + a s, - p x + a s, q y + b s, - q y + b s} .$
unlabeled · line 751
$p = \frac{3}{5}, q = \frac{5}{13}, a = \frac{4}{5}, b = \frac{12}{13}, d = b - a = \frac{8}{65} .$