EQUILATERAL TRIANGLE AND THE HOLY TRINITY

Boethius, On the Holy Trinity

Standing Waves: the Equilateral Triangle

It is well known that symmetry considerations can often be a powerful tool for simplifying physical systems. We consider a wave which satisfies the Helmholtz equation in a region with some given symmetry, and note that any solution can be transformed by that symmetry to give another solution. Using this simple observation we describe a number of necessary conditions for wave solutions. For boun...

Packing and Covering a Unit Equilateral Triangle with Equilateral Triangles

Packing and covering are elementary but very important in combinatorial geometry , they have great practical and theoretical significance. In this paper, we discuss a problem on packing and covering a unit equilateral triangle with smaller triangles which is originated from one of Erd˝ os' favorite problems.

A Transdisciplinary Approach on Holy Trinity

We aim at an exercise of transdisciplinary approach between Science and religion, but also interdisciplinary between disciplines and theories which appeared in the second half of the 20 th century (e.g. topology, chaos theory, fractal geometry, non-linear dynamics, all of which can be found in the theory of complex systems) and which impose a reformulation of the theories of Quantum Mechanics s...

Camera Self-Calibration by an Equilateral Triangle

In this article, we present a technique for self-calibration of a CCD camera with constant focal distance using a planar scene. The particularity of our technique is the use of triangle equilateral which two vertices are defined from the matches detected in images taken by the camera. Using these vertices to estimate all the projection matrices which are operated with homographies between the i...