The buildings gallery: visualizing buildings

Buildings are beautiful mathematical objects tying a variety of subjects in algebra and geometry together very direct sense. They form natural bridge to visualising more complex principles group theory. As such they provide an opportunity talk about the inner workings mathematics broader audience, but visualisations could also serve as didactic tool teaching building theory, we believe can even inspire future research. We present algorithmic method visualise these geometric objects. The main accomplishment is use existing theory produce three dimensional, interactive models buildings associated groups with $BN$-pair. final product, web application called Gallery, be found at https://buildings.gallery \citep{Bekker2020}.