The aim in this paper is to collect in one place a list of currently known and new structures enumerated by the k-ary numbers. Some of the structures listed already exist in the folk-lore, especially those that are easy generalizations of known combinatorial structures enumerated by the Catalan numbers. We will provide outlines on how the proofs for the Catalan structures generalize, and give p...

There are many kinds of façade shading designs which provide optimal indoor daylighting conditions. Thus, considering combinations of different types of façade shading systems is an essential aspect in the optimization of daylighting in the building design process. This study explores (1) how the pattern and different characteristics are evaluated by varying façade shading types and considering...

This article outlines a new semi-automatic approach for generating accurate BIM facade models for existing buildings from laser and image data. Two new developments for as-built BIM modelling are presented in this article. The first is a new library of reusable parametric objects designed for modelling classical architectural elements from survey data. These library objects are dynamic and have...

This paper presents a generative grammar producing a language of patterns for the south façade of a prototype sustainable house. The patterns are produced through the activation of the electrochromic material that is applied on the windowpanes of the façade. The class of the performatively effective configurations of the façade is approached as a visual language and the productive (generation),...

FAÇADE (Fast and Automatic Clustering Approach to Data Engineering) is a spatial clustering tool that can discover clusters of different sizes, shapes, and densities in noisy spatial data. Compared with the existing clustering methods, FAÇADE has several advantages: first, it separates true data and noise more effectively. Second, most steps of FAÇADE are automatic. Third, it requires only O(nl...

The traditional Chinese garden contains many types of tings, corridors, walls, etc. For artists, it is tedious work to model these kinds of featured Chinese architecture due to the strict and complex construction rules. We propose an interactive and procedural tool to modeling featured Chinese architectures that appear in the Chinese garden. Based on the previous research about modeling basic s...