The Algorithmic Beauty of Plants — “The idea of form implicitly contains also the history of such a form.”
Part, Site, Analysis — Notes on Casati and Varzi’s book, “Parts and places: the structures of spatial representation” (MIT Press).
On Naming — “A proper name, when one meets with it for the first time, is existentially connected with some percept or other equivalent individual knowledge of the
Like As Not — Metaphor implies repetition with a difference. A catalog might then also be an extended metaphor.
Obituaries: Cathleen Morawetz (1923-2017) — In the mathematics of flows and shocks, Cathleen Morawetz, Olga Ladyzhenskaya, and Olga Oleinik together form a singular legacy, an interconnected legacy (Early Memories of
Obituaries: Maryam Mirzakhani (1977 - 2017) — Maryam Mirzakhani died today.
A fearful sphere, whose center is everywhere — In a beautiful article, The Mathematics of Doodling, Ravi Vakil poses two problems:
2-butterfly derangement — The hallmark of the Cooley-Tukey algorithm for Fast Fourier Transform is the butterfly network, which helps reduce $O(n^2)$ computations to $O(n log n)$. Butterflies are
Maximum weighted independent set - connected component — Given a weighted connected component, what is the weight of the maximum independent set, and how many different sets have this weight? A Petersen graph
Maximum weighted independent set - singletons and forest — Gus wants to open franchises of his restaurant, Los Pollos Hermanos, along Central Avenue. There are $n$ possible locations for franchises, where location i is
Rational numbers in decimal — In decimal representation, rational numbers either terminate after a finite number of digits or produce a repeating sequence. Conversely, any repeating decimal can be converted
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