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Quads are faces wit just four sides.
Subdividing surfaces is a way of achieving more organic shapes out of a low poly model, it adds more geometry to an object in order to make it look better.
It is possible to move vertices with the native move tool but I use vertex tools cause the native tool converts quads to triangles sometimes while vertex tools keep all the quads intact when you move any vertex.
Search Quadface modeling on YouTube to learn more about it, it’s hard to explain everything on a comment.
I don’t know a way to create parametric hearts on sketchup, actually modeling with quads and subdividing the geometry is in my opinion the easiest way to do it and also the one that delivers the best results, it could take a bit of time to learn and get used to modeling using quads, but once you get it you can model absolutely anything you can imagine, I’ve modeled cars, human characters, really complex buildings like the Heydar Aliyev Center and tons of things more using this method.
Start with a cube, add few loops and move the vertex to create a very basic heart shape, then add more loops and give it a more accurate shape, it would be better to model jus half of the heart cause it’s a symmetrical shape. Once your happy with the low poly heart, use subD to check how is it, you can add loops or creases for parts where you want to have sharper edges.