We prove that in Euclidean d-space every sequence of cubes with total volume 2 + 3 is able to cover on-line the unit cube. The proof is based on an on-line q-adic method of covering the unit segmentâ€¦ (More)

Every sequence of positive or negative homothetic copies of a triangle T whose total area does not exceed 2 9 of the area of T can be translatively packed into T . The bound of 2 9 cannot be improvedâ€¦ (More)

Every sequence of positive or negative homothetic copies of a planar convex body C whose total area does not exceed 0.175 times the area of C can be translatively packed in C. Let C be a planarâ€¦ (More)