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A Platonic surface is a Riemann surface that underlies a regular map and so we can consider its vertices, edge-centres and face-centres. A symmetry (anticonformal involution) of the surface will fix a number of simple closed curves which we…

Combinatorics · Mathematics 2015-01-21 Adnan Melekoğlu , David Singerman

I give a brief history of astronomical observatories as an institution. This includes: 1) observatories in Islam; 2) China and India; 3) early European observatories; 4) the rise of national observatories; 5) private (amateur)…

Astrophysics · Physics 2007-05-23 Kevin Krisciunas

Dielectric mirrors comprising thin-film multilayers are widely used in optical experiments because they can achieve substantially higher reflectance compared to metal mirrors. Here we investigate potential problems that can arise when…

An ancient optics problem of Ptolemy, studied later by Alhazen, is discussed. This problem deals with reflection of light in spherical mirrors. Mathematically this reduces to the solution of a quartic equation, which we solve and analyze…

Complex Variables · Mathematics 2018-01-23 Masayo Fujimura , Parisa Hariri , Marcelina Mocanu , Matti Vuorinen

We revisit a water glass experiment often used to demonstrate a rainbow. On a closer look, it also turns out to be a rather close analogy of a different kind of atmospheric optics phenomenon altogether: The geometry may be used to…

Atmospheric and Oceanic Physics · Physics 2017-08-02 Markus Selmke , Sarah Selmke

I discuss various aspects of archeoastronomy concentrating on physical artifacts (i.e., not including ethno-archeoastronomy) focusing on the period that ended about 2000 years ago. I present examples of artifacts interpreted as showing the…

History and Philosophy of Physics · Physics 2011-03-30 Noah Brosch

We have reflected a Stark-decelerated beam of OH molecules under normal incidence from mirrors consisting of permanent magnets. Two different types of magnetic mirrors have been demonstrated. A long-range flat mirror made from a large disc…

Here we demonstrate existence of a piecewise smooth obstacle having connected interior and invisible from a point in the framework of geometric optics.

Metric Geometry · Mathematics 2014-05-12 Alena Aleksenko

This short article presents an alternative view of high resolution imaging from various sources with the aim of the discovery of potential sites of archaeological importance, or sites that exhibit `anomalies' such that they may merit closer…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Vassilios S. Vassiliadis

This is my talk at ICM, Zurich 1994. It contains a short introduction, two basic examples and a refined version of the Mirror Conjecture formulated in terms of homological algebra.

alg-geom · Mathematics 2008-02-03 Maxim Kontsevich

This paper puts forward a possible new indicator for the presence of moderately advanced civilizations on transiting exoplanets. The idea is to examine the region of space around a planet where potential geostationary or geosynchronous…

Earth and Planetary Astrophysics · Physics 2018-03-28 Hector Socas-Navarro

Analysis of the both type (flint-forward and crown-forward) achromatic doublets was carried out. The investigation revealed possible initial approximations which could be used by opticians at producing of the achromatic doublets in last…

History and Philosophy of Physics · Physics 2019-03-21 Igor Nesterenko

I review the present status of liquid mirror telescopes. In a nutshell: LMTs do work and several have been built and used. Extensive interferometric tests of liquid mirrors (the largest one having a diameter of 2.5 meters) show diffraction…

Astrophysics · Physics 2007-05-23 E. F. Borra

We show that there exist bodies with mirror surface invisible from a point in the framework of geometrical optics. In particular, we provide an example of a connected three-dimensional body invisible from one point.

Metric Geometry · Mathematics 2011-12-30 Alexander Plakhov , Vera Roshchina

In this review I will discuss the comparison between model results and observational data for the Milky Way, the predictive power of such models as well as their limits. Such a comparison, known as Galactic archaeology, allows us to impose…

Astrophysics of Galaxies · Physics 2021-09-08 Francesca Matteucci

One of the most fascinating ideas coming from particle physics is the concept of mirror matter. Mirror matter is a new form of matter which is predicted to exist if mirror symmetry is respected by nature. At the preset time evidence that…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert Foot

A black mirror is an accelerated boundary that produces particles in an exact correspondence to an evaporating black hole. We investigate the spectral dynamics of the particle creation during the formation process.

General Relativity and Quantum Cosmology · Physics 2018-07-27 Michael R. R. Good

Cherenkov Telescopes are equipped with optical dishes of large diameter -- in general based on segmented mirrors -- with typical angular resolution of a few arc-minutes. To evaluate the mirror's quality specific metrological systems are…

Instrumentation and Methods for Astrophysics · Physics 2016-01-11 Rodolfo Canestrari , Enrico Giro , Giacomo Bonnoli , Giancarlo Farisato , Luigi Lessio , Gabriele Rodeghiero , Rossella Spiga , Giorgio Toso , Giovanni Pareschi

A mixture of an historical article, and of a survey of recent developments, containing also a couple of new results.

Algebraic Geometry · Mathematics 2007-05-23 Fabrizio Catanese

Old open clusters are useful tools to study the Galactic disk properties, both present and past. Populous samples with properties determined both accurately and homogenously are necessary to draw reliable conclusions. We present here our…

Astrophysics · Physics 2007-05-23 A. Bragaglia , M. Tosi , G. Marconi , E. Carretta