We find the asymptotic number of 2-orientations of quadrangulations with n inner faces, and of 3orientations of triangulations with n inner vertices. We also find the asymptotic number of prime 2-orientations (no separating quadrangle) and prime 3-orientations (no separating triangle). The estimates we find are of the form c ·n−αγn, for suitable constants c, α, γ, with α = 4 for 2-orientations ...

We construct and analyse interesting integer valued functions on the points of a generalised quadrangle which lie in the orthogonal complement of a principal eigenspace of the collinearity relation. These functions generalise the intriguing sets introduced by Bamberg et al. (Combinatorica 29(1):1–17, 2009), and they provide the extra machinery to give new proofs of old results and to establish ...

We present three types of polyhedral surfaces, which are continuously flexible and have not only an initial pose, where all faces are coplanar, but pass during their self-motion through another pose with coplanar faces (“flat pose”). These surfaces are examples of so-called rigid origami, since we only admit exact flexions, i.e., each face remains rigid during the motion; only the dihedral angl...

Objectives: One of the education ministry’s concerns in high schools is the problem of academic achievement. The researches have mentioned that student’s false attribution and absence of scholastic counseling service are the most important factors affecting student’s low performance and achievements. The main goal of this research was to study the rate of cognitive reconstructive effect on attr...

A frequent challenge for many Text Understanding Systems is to tackle the variety of text characteristics in born-digital and natural scene images to which current OCRs are not well adapted. For example, texts in perspective are frequently present in real-word images, but despite the ability of some detectors to accurately localize such text objects, the recognition stage fails most of the time...

genital elephantiasis is caused by a variety of infective and non infective causes leading to blockage of lymphatic. we are presenting a rare case of recurrent unilateral vulval elephantiasis which has recurred after initial reconstructive surgery. a 38 year old female presented with vulval swelling and on examination there was gross unilateral vulval enlargement. fnac (fine needle aspiration c...

In this paper, we design and implement a novel method for constructing a mixed triangle/quadrangle mesh from the 3D space curves (rims) estimated from the profiles of an object in an image sequence without knowing the original 3D topology of the object. To this aim, a contour data structure for representing visual hull, which is different from that for CT/MRI, is introduced. In this paper, we (...

The values t = 1, 3, 5, 6, 9 satisfy the standard necessary conditions for existence of a generalised quadrangle of order (3, t). This gives the following possible parameter sets for strongly regular graphs that are pseudo-geometric for such a generalised quadrangle: (v, k, λ, μ) = (16, 6, 2, 2), (40, 12, 2, 4), (64, 18, 2, 6), (76, 31, 2, 7) and (112, 30, 2, 10). It is well-known that there ar...

We present the first geological map of Neruda Quadrangle (H13), Mercury. H13 is in Mercury’s southern hemisphere between latitudes 22.5°S–65°S, and longitudes 90°E–180° covering a total area just under 5 million km², equivalent to 6.5% planet’s surface. Map digitisation was carried out at scales 1:300,000 1:700,000 for final presentation 1:3,000,0000, from end-of-mission data products NASA’s ME...

Symmetry properties of the three 10-cages on 70 vertices are investigated. Being bipartite, these graphs are Levi graphs of triangleand quadrangle-free (353) con!gurations. For each of these graphs a Hamilton cycle is given via the associated LCF notation. Furthermore, the automorphism groups of respective orders 80, 120, and 24 are computed. A special emphasis is given to the Balaban 10-cage, ...