So all of our 3D modeling work and our 3D printing has us thinking about voxels and polygons. Not in a mean, unfair comparison kind of way, but in a hey-mathematics-influence-optics kind of way.
(image source: 3D-Coat Forums)
The image on the left is polygon-based, and the one on the right is voxel-based. Polygon-based sculpting forces you to consider the topology of the model, whereas voxel-based sculpting can feel more organic and more like how we might traditionally think of sculpting.
With polygons, you’re stretching and shaping
Working with polygons is like making a sculpture out of chicken wire where you don’t have volume, really – you’re just sculpting and bending a surface, and any interiors contain empty space. Working with voxels is rather more like working with clay, where you can shape it, it has volume, and you can add and take out of it in an intuitive fashion.
This is a great breakdown of what voxels actually are as they relate to 3D printing: Additive Manufacturing — The Voxel Method.