Spacing and radius

Radius

Two scales, deliberately:

:root {
  --radius: 0.625rem;        /* buttons, inputs, menu rows, badges */
  --vui-card-radius: 1rem;   /* cards */
}

Cards are rounder than controls. That is a design decision rather than an oversight, and it is why there are two tokens: setting one global radius makes either the buttons too round or the cards too square.

--vui-card-radius is applied through [data-slot="card"], so it reaches every card without each one naming a radius class.

Spacing

Tailwind's --spacing scale, unmodified. p-4 is 1rem and gap-6 is 1.5rem, exactly as you expect, because a template that redefines the spacing scale is a template where no Tailwind knowledge transfers.

What the design system does fix is the metrics: the padding of a card header, the height of a table row, the gap between a label and its field. Those live in class strings shared by all six editions, so they are consistent without being re-decided per screen.

Density

If you need a denser application, the two levers in order of effect are the table row height and the card padding. Both are class strings in @viliha/vui-core; changing them there changes every edition at once, which is the point.