In traditional Vastu-based town planning, "Chaturmukha" literally means four-faced, a square town with straight streets running at right angles between gates on each side, which is exactly what an orthogonal grid pattern is.
Swastika and Nandyavarta layouts follow rotational or spiral symbolic patterns, and Karmukha follows a bow-shaped curved boundary, none of which is a simple right-angled grid.
Therefore, the correct answer is Chaturmukha.
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Approach Solution -2
Looking at what everyday object or symbol each name is drawn from also narrows this down.
Swastika: Drawn from the swastika symbol, whose arms bend at angles around a center, implying a layout with rotational branches rather than a uniform grid.
Chaturmukha: Drawn from the idea of a square with four equal, straight-fronted sides, naturally producing a regular grid of perpendicular streets.
Karmukha: Drawn from a bow shape, implying curved rather than straight, right-angled streets.
Nandyavarta: Drawn from a coiled, auspicious spiral symbol, implying winding rather than straight streets.
The square, four-sided origin of "Chaturmukha" is the only one that naturally produces an orthogonal grid.