Given a graph H and an integer r ≥ 2, let G → (H, r) denote the Ramsey property of a graph G, that is, every r-coloring of the edges of G results in a monochromatic copy of H. Further, let m(G) = maxF⊆G |E(F )|/|V (F )| and define the Ramsey density minf (H, r) as the infimum of m(G) over all graphs G such that G → (H, r). In the first part of this paper we show that when H is a complete graph ...

Tim nineteenth-century artist Richard Dadd, who spent most of his working life confined in the Criminal Lunatic Asylums at Bethlem and Broadmoor, is quite well known, and ever increasingly so, to the art world; his name is less well known, perhaps, in the sphere of psychiatric history. Dadd was born at Chatham in 1817, the third son and fourth child of Robert Dadd, who owned a chemist's busines...

In this paper we describe the problem of painter classification, and propose a novel approach based on deep convolutional autoencoder neural networks. While previous approaches relied on image processing and manual feature extraction from paintings, our approach operates on the raw pixel level, without any preprocessing or manual feature extraction. We first train a deep convolutional autoencod...

Hallucinatory inspiration Visual migrainous hallucinations have provided inspiration for others. Charles Dodgson, better known as Lewis Carroll, is known to have suffered from migraine and is thought to have used his migrainous disturbances of body image as inspiration for Alice's Adventures in Wonderland.'0 Atkinson and Appenzeller described a patient who had migraine who painted her complex v...

A new scheme for painterly rendering (NPR) has been developed. This scheme is based on visual perception, in particular the multi-scale line/edge representation in the visual cortex. The Amateur Painter (TAP) is the user interface on top of the rendering scheme. It allows to (semi)automatically create paintings from photographs, with different types of brush strokes and colour manipulations. In...