Given a rectangular box which has been split into 24 tetrahedra, we show how to construct a C1 macroelement using polynomial pieces of degree 6.

3-Hydroxyacyl-CoA dehydrogenase (HAD; EC 1.1.1.35) is the enzyme that catalyzes the third step in fatty-acid β-oxidation, oxidizing the hydroxyl group of 3-hydroxyacyl-CoA to a keto group. The 3-hydroxyacyl-CoA dehydrogenase from Caenorhabditis elegans (cHAD) was cloned, overexpressed in Escherichia coli and purified to homogeneity for crystallography. Initial crystals were obtained by the hang...

If rooms in an office building are allowed to be any rectangular solid, how many colors does it take to paint any configuration of rooms so that no two rooms sharing a wall or ceiling/floor get the same color? In this work, we provide a new construction which shows this number can be arbitrarily large.

Let {X, Y,Z,A,B, C} ∈ Q+ be such that X2 + Y 2 = A2, X2 + Z2 = B2 and Y 2 + Z2 = C2. We consider the problem of finding T ∈ Q+ such that either 1. T 2 −X2 = , T 2 − Y 2 = , T 2 − Z2 = or 2. T 2 −A2 = , T 2 − B2 = , T 2 − C2 = . We show that problem 2 always has a solution and we provide a formula for T . Extensive computation has been unable to find a single solution of problem 1.