arXiv subjects

Loe Feijs

Publications and source records attributed to Loe Feijs.

3 recordsLinked to original sources

arXiv2023

Geometry of Language

In this article, we present a fresh perspective on language, combining ideas from various sources, but mixed in a new synthesis. As in the minimalist program, the question is whether we can formulate an elegant formalism, a universal grammar or a mechanism which explains significant aspects of the human faculty of language, which in turn can be considered a natural disposition for the evolution and deployment of the diverse human languages. We describe such a mechanism, which differs from existing logical and grammatical approaches by its geometric nature. Our main contribution is to explore the assumption that sentence recognition takes place by forming chains of tokens representing words, followed by matching these chains with pre-existing chains representing grammatical word orders. The aligned chains of tokens give rise to two- and three-dimensional complexes. The resulting model gives an alternative presentation for subtle rules, traditionally formalized using categorial grammar.

cs.CL↗

arXiv2022

Exploration of Knitted Spacer Fabrics using Grasshopper

We describe a novel approach for exploring, visualizing and modelling of complex textile structures. We show this approach in action for the exploration of weft-knitted spacer fabrics. The modelling tools are readily available and represent a fast-growing approach in communities of generative design. The approach helps solving the problem that spacer fabrics are complex structures which are hard to imagine and to visualize. The explorations turn out insight-full and flexible and are complementary to what can be done with existing tools.

cs.CY↗

arXiv2020

Analyzing the Structure of Mondrian's 1920-1940 Compositions

Mondrian was one of the most significant painters of the 20th century. He was a prominent member of DeStijl, the movement which revolutionized art by setting it free of the obligation to make images of existing objects, persons, or situations. DeStijl was one of the interrelated movements in early 20th century Europe including Cubism, Constructivism, the Futurists, and Dada. Their disruptive ideas changed the meaning of Western art. It was Mondrian, more than anyone else, who worked restlessly to find expression for the purest possible kind of beauty and truth, based on a theory called Neoplasticism. He was already famous during his lifetime and still now, his name is almost synonym for modern art. We analyze the structure of the system of black lines in his paintings and put the hypothesis to the test that the paintings could be obtained by recursive (binary) splitting. We used a novel tailor-made interactive analysis tool and apply it to as many Mondrian paintings as possible (in total 147). The results will be explained in a visual manner, but we also present statistical findings from the analysis of the 147 paintings. Our main conclusion is that the hypothesis of splitting decomposition is in general not true. It is possible to make Mondrian-like compositions by splitting, yet one misses out on a great deal of Neoplastic beauty if one would work by splitting only. It is possible to consider all crossings as pairs of Tees, but that is clumsy, and it leaves out essential information. Moreover there are other important design decisions of Mondrian, such as the keeping-distance to the canvas-edge which are not well-described by splitting.

cs.CY↗