Put n nonoverlapping squares inside the unit square. Let f(n) and g(n) denote the maximum values of the sum of the edge lengths of the n small squares, where in the case of f(n) the maximum is taken over all arbitrary packings of the unit square, and...
In this paper we consider the problem of finding latin squares with sets of pairwise disjoint subsquares. We develop a new necessary condition on the sizes of the subsquares which incorporates and extends the known conditions. We provide a constructi...
We review a known method of compounding two magic square matrices of order m and n with the all-ones matrix to form two magic square matrices of order mn. We show that these compounded matrices commute. Simple formulas are derived for their Jordan fo...
We introduce consecutive equi-$n$-squares, a variant of equi-$n$-squares in which at least one row or column forms a fixed permutation of $\{1,\dots,n\}$, taken for concreteness to be $(1,\dots,n)$. More generally, the enumeration and probabilistic a...
We (1) determine the number of Latin rectangles with 11 columns and each possible number of rows, including the Latin squares of order~11, (2) answer some questions of Alter by showing that the number of reduced Latin squares of order $n$ is divisi...
Hello there! This year, I'm doing a themed bingo square with trans or nonbinary characters in every book. As such, I've spent a lot of time (too much time) compiling books that fit for each square. I...
The Square Kilometre Array (SKA) is the most ambitious radio telescope ever planned. With a collecting area of about a square kilometre, the SKA will be far superior in sensitivity and observing speed to all current radio facilities. The scientific c...
A square-tiled surface (STS) is a (finite, possibly branched) cover of the standard square-torus with possible branching over exactly 1 point. Alternately, STSs can be viewed as finitely many axis-parallel squares with sides glued in parallel pairs....
In this note, we compute depth of the 3-path ideal of square of a path and show that the 3-path ideal I3(P 2 n) of square of a path graph is Cohen-Macaulay if and only if n = 3 or 4. Also, we consider the limit behavior of depth of powers of the 3-pa...
We study cubical sets without degeneracies, which we call square sets. These sets arise naturally in a number of settings and they have a beautiful intrinsic geometry; in particular a square set C has an infinite family of associated square sets J^...
We consider a mixture of a two-component Fermi gas and a single-component dipolar Bose gas in a square optical lattice and reduce it into an effective Fermi system where the Fermi-Fermi interaction includes the attractive interaction induced by the p...
Jan 11, 2026 · « It's hip to be square - square images | Show your texture, pattern, repetition, shape etc. shots here! »
Jan 11, 2026 · « It's hip to be square - square images | Show your texture, pattern, repetition, shape etc. shots here! »
Jan 11, 2026 · « It's hip to be square - square images | Show your texture, pattern, repetition, shape etc. shots here! »
Jan 11, 2026 · « It's hip to be square - square images | Show your texture, pattern, repetition, shape etc. shots here! »
Jan 11, 2026 · « It's hip to be square - square images | Show your texture, pattern, repetition, shape etc. shots here! »
Jan 11, 2026 · « It's hip to be square - square images | Show your texture, pattern, repetition, shape etc. shots here! »
Jan 11, 2026 · « It's hip to be square - square images | Show your texture, pattern, repetition, shape etc. shots here! »
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