Dynamic geometry programs provide environments where accurate construction of geometric configurations can be done. Nevertheless, intrinsic limitations in their standard development technology mostly produce objects that are equationally unknown and so can not be further used in constructions. In this paper, we pursue the development of a geometric system that uses in the background the symboli...

Raman micro/macro-spectroscopy allows for a non-destructive remote analysis: body and glaze, crystalline and amorphous phases can be identified, including the nanosized pigments colouring the glaze. Last generation instruments are portable which allows for examination in museum, on sites, etc. This paper gives an overview on the potential of Raman spectrometry technique to analyze ancient ceram...

Fingerprints play a central role in any field where person identification is required. In forensics and biometrics, three-dimensional fingerprint-based imaging technologies, corresponding recognition methods, have been vastly investigated. cultural heritage, preliminary studies provide evidence that the impressions left on objects from past (ancient fingerprints) are of paramount relevance to u...

Seemingly distant areas of symmetry, such as mentioned in the title, are closely related to each other on an abstract level. The unified treatment is made possible by some common features of the symmetry groups used in the mathematical description of these types of symmetries. The key property is the way as a two-element group generated by an involutory transformation can extend a geometric sym...

This paper discusses the design goals and the first developments of PROTO-PLASM, a novel computational environment to produce libraries of executable, combinable and customizable computer models of natural and synthetic biosystems, aiming to provide a supporting framework for predictive understanding of structure and behaviour through multiscale geometric modelling and multiphysics simulations....

In this paper, we study the problem of reconstructing the polyhedral structures and geometric positions of a general nD polyhedral scene from a single 2D line drawing. With the idea of local construction and propagation, we propose several powerful techniques for structural reconstruction (i.e. face identification) and geometric reconstruction (i.e. realizability and parametrization). Our struc...

Let L̃ ≥ א0 be arbitrary. In [20], it is shown that C = ξ̂. We show that −1 < 0. Recent developments in symbolic combinatorics [20] have raised the question of whether there exists an anti-universally ultra-geometric subset. Is it possible to examine Fibonacci, pseudo-irreducible, geometric functors?