The basic structures for linking squares into polyhedra and networks (reticulation) are enumerated, and corresponding examples are described in which crystals were synthesized by linking paddle wheel ...

Abstract: Solid geometry is defined as the study of the geometry of three-dimensional solid figures in Euclidean space. There are numerous techniques in solid geometry, mainly analytic geometry and ...

THERE are many geometrical results which are not directly formulated or stated in Euclid's Elements, which are yet constantly turning up in the solution of geometrical problems, and it is very ...

THE opening sentence of the Preface—“The author has attempted to bring together all the well-known theorems and examples connected with Harmonics, Anharmonics, Involution, Projection (including ...

The Toorak flat, designed by Australian modernist architect Sir Roy Grounds for his family, has been listed for sale.

mesh.position.x = Math.sin((i.to_f / functions.length.to_f) * TWO_PI) * 2.0 mesh.position.y = Math.cos((i.to_f / functions.length.to_f) * TWO_PI) * 2.0 ...

Abstract: Special Lagrangians are submanifolds of (almost) Calabi-Yau manifolds that sit at the intersection of calibrated and complex geometry. They are generally speaking hard to find, and it is ...

Abstract: In this paper we present a method for geometry synthesis by example, inspired by techniques from texture synthesis. Given an example of input geometry, we synthesize new output geometry that ...

The oldest example of applied geometry has been discovered on a 3,700-year-old clay tablet featuring maths attributed to Pythagoras 1,000 years later. The tablet, known as Si.427 was discovered in the ...