self compacting concrete (scc) specimens with limestone (l) and quartz (q) powders were formulated. the influence of the type of the powder on the properties of fresh and hardened concrete was evaluated. dense packing theories were used for mix design of samples. the equation of fuller and thompson for particle size distribution (psd) of aggregates was modified with considering fine particles a...

In computational geometry, packing problems ask whether a set of rigid pieces can be placed inside a target region such that no two pieces overlap. The triangle packing problem is a packing problem that involves triangular pieces, and it is crucial for algorithm design in many areas, including origami design, cutting industries, and warehousing. Previous works in packing algorithms have conject...

We analyze the problem of packing squares in an online fashion: Given a semi-infinite strip of width 1 and an unknown sequence of squares of side length in [0, 1] that arrive from above, one at a time. The objective is to pack these items as they arrive, minimizing the resulting height. Just like in the classical game of Tetris, each square must be moved along a collision-free path to its final...

Abstract For every fixed graph H, we determine the H-packing number of Kn, for all n > n0(H). We prove that if h is the number of edges of H, and gcd(H) = d is the greatest common divisor of the degrees of H, then there exists n0 = n0(H), such that for all n > n0, P (H, Kn) = b 2h b n − 1 d cc, unless n = 1 mod d and n(n − 1)/d = b mod (2h/d) where 1 ≤ b ≤ d, in which case P (H, Kn) = b 2h b n ...