1b. What is the least number of identical squares that can be placed in a plane such that each shares a side with at least one other and they form a contiguous region with no rotation or reflection symmetry?
1c. What is the least number of identical squares that can be placed in a plane such that each shares a side with exactly two others and they form a contiguous region with no rotation or reflection symmetry?
2a-c. Same as 1a-c. but replace 'squares' with 'equilateral triangles.'
3a-c. Same as 1a-c. but replace 'squares' with 'regular hexagons.'
