# Notation for a coordinate grid

Consider the coordinate grid of points between $$(-5, -5)$$ and $$(5, 5)$$, inclusive, spaced 0.3 units apart in both directions. Is there a more compact way of notating this without writing something long, such as $$\{(-5, -5), (-5, -4.7), \dots, (-5, 5), (-4.7, -5), \dots, (5, 5)\}$$?

You could use $$(0.3\mathbb{Z}-5\cap[-5,5])^2$$
Explanation: $$\mathbb{Z}$$ are the integers, and $$0.3\mathbb{Z}$$ are just values which are $$0.3$$ units apart. The $$-5$$ just moves the origin of the lattice around. Intersecting the lattice with $$[-5,5]$$ restricts it to the intended bounds. Finally, you take the Cartesian product with itself, aka square it, to get two dimensional.
PS: not both, 5 and -5 can be part of the solution, since $$10/0.3=33$$ remainder $$0.1$$.