← Back to Library
Mathematics
Longer pieces filed under the topics of this subject. Each one is written to be read carefully, not skimmed.
18 May 2026
On the Topology of Implicit Surfaces
28 Apr 2026An implicit surface is the zero set of a smooth function f : ℝ³ → ℝ. This article examines how the topology of that zero set — its genus, its connected components, its singular points — is controlled by the algebra of f.
Wallpaper Groups and the Mathematics of Batik Symmetry
Every periodic pattern — including traditional batik — belongs to one of exactly 17 wallpaper groups. This article classifies several canonical Javanese batik motives using the crystallographic notation and explains why only 17 groups exist.