The fashionable horse : Ute saddlebags and saddle blankets 1870-1925

This research paper examines the creation, design, and functions of ten Ute double saddlebags and four beaded Ute saddle blankets fabricated between 1870 and 1925. Based on this sample and comparison with additional Basin and Plains tribal dressings, it appears that Ute saddlebags and blankets possess a combination of characteristics that reflect Ute territory, lifestyle, and aesthetics. These attributes, including fabrication from hide; similar rectangular dimensions; simple geometric beadwork patterns that emphasize triangles; preference for blue, white, and yellow beads; largely solid colored backgrounds; and back entries into the bags, work together to create a style that is specifically Ute.

Magnetism in graphene nanoislands

We study the magnetic properties of nanometer-sized graphene structures with triangular and hexagonal shapes terminated by zigzag edges. We discuss how the shape of the island, the imbalance in the number of atoms belonging to the two graphene sublattices, the existence of zero-energy states, and the total and local magnetic moment are intimately related. We consider electronic interactions both in a mean-field approximation of the one-orbital Hubbard model and with density functional calculations. Both descriptions yield values for the ground state total spin S consistent with Lieb’s theorem for bipartite lattices. Triangles have a finite S for all sizes whereas hexagons have S=0 and develop local moments above a critical size of ≈1.5  nm.

Mathematics notebook, ca. 1714-1718

This heavily illustrated notebook contains extensive notes on spheric triangles and spheric angles. These include rules and examples with their solutions.

Effective warning devices for parked/disabled vehicles. Executive summary. Final report.

Federal Highway Administration, Office of Research and Development, Washington, D.C.

Effective warning devices for parked/disabled vehicles. Final report.

Federal Highway Administration, Office of Research and Development, Washington, D.C.

The scarlet letter.

Mode of access: Internet.

Export processing zones and growth triangle development: The case of the BIMP-EAGA, Southeast Asia

Exorts processing zones (EPZs) and growth triangles have been two common Asian initiatives to increase wealth and regional competitiveness in the world economy. Since they are seldom analysed jointly, this paper investigates their mutuality in the development process. Taking the problematic case of the Brunei-Indonesia-Malaysia-Philippines East ASEAN Growth Area (BIMP-EAGA) triangle, we explore the role of EPZs in enhancing regional collaboration, competitiveness, and domestic linkages. Despite the triangle's weak economic complementarities, its processing zones are found capable of advancing development by furthering opportunities in regionalisation/localisation of production. Latterly, trade and investment liberalisation within ASEAN raises broad questions about the rationale of EPZs and growth triangles. Zone-triangle nexuses will require rethinking as, under different regulatory conditions, the zones compete more directly across ASEAN and also with global rivals. Copyright © 2005 John Wiley & Sons, Ltd.

Knowledge management sans frontières

Knowledge management is a topic that crosses borders of various kinds, such as those between departments, between organisations or between countries. In this paper we will consider various issues relating to knowledge management, in the context where more than one department/organisation/country is involved. To do this, we place an emphasis on knowledge management as a process, rather than as an organisational system or, worse, as a piece of technology. This process involves trust, negotiation—and indeed some technological support. In this paper we wish to introduce the concept of ‘triangles of trust’, and to focus on where ‘the top meets the bottom’ in terms of knowledge management and organisational learning. Partial examples will be offered in support of our views, but no full and complete examples—knowledge management simply is not well enough understood or documented for that yet. Our overall conclusion is that there is no one best way to “do” knowledge management, but there are principles that ought to be applied.

Triangulation mobility of auto-theft offenders

This research paper presents an examination of the journey to and from crime for autotheft offenders in the UK. For 852 offences, ‘wheel’ distances are calculated for triangles formed by offenders’ home location, theft location, and vehicle disposal location. The study demonstrates typical isosceles mobility triangles; distances travelled to and from home locations are roughly equal, whereas distances between theft and disposal points were shorter. Distances travelled by offenders under 17 years old and offences involving drug and drink were shown to be shorter than comparison groups. Prolifi c offenders tend to travel further, although there is signifi cant variation in this subgroup. Explanations and implications are discussed.

Squaring the circle: the cultural relativity of 'good' shape

The Gestalt theorists of the early twentieth century proposed a psychological primacy for circles, squares and triangles over other shapes. They described them as 'good' shapes and the Gestalt premise has been widely accepted. Rosch (1973), for example, suggested that shape categories formed around these 'natural' prototypes irrespective of the paucity of shape terms in a language. Rosch found that speakers of a language lacking terms for any geometric shape nevertheless learnt paired-associates to these 'good' shapes more easily than to asymmetric variants. We question these empirical data in the light of the accumulation of recent evidence in other perceptual domains that language affects categorization. A cross-cultural investigation sought to replicate Rosch's findings with the Himba of Northern Namibia who also have no terms in their language for the supposedly basic shapes of circle, square and triangle. A replication of Rosch (1973) found no advantage for these 'good' shapes in the organization of categories. It was concluded that there is no necessary salience for circles, squares and triangles. Indeed, we argue for the opposite because these shapes are rare in nature. The general absence of straight lines and symmetry in the perceptual environment should rather make circles, squares and triangles unusual and, therefore, less likely to be used as prototypes in categorization tasks. We place shape as one of the types of perceptual input (in philosophical terms, 'vague') that is readily susceptible to effects of language variation.

Axis-based grouping reduces visual extinction

We examined the effects on extinction of grouping by collinearity of edges and grouping by alignment of internal axes of shapes, in a patient (GK) with simultanagnosia following bilateral parietal brain damage. GK’s visual extinction was reduced when items (equilateral triangles and angles) could be grouped by base alignment (i.e., collinearity) or by axis alignment, relative to a condition in which items were ungrouped. These grouping effects disappeared when inter-item spacing was increased, though factors such as display symmetry remained constant. Overall, the results suggest that, under some conditions, grouping by alignment of axes of symmetry can have an equal beneficial effect on visual extinction as edge-based grouping; thus, in the extinguished field, there is derivation of axis-based representations from the contours present.

Approximating the MaxMin and MinMax Area Triangulations using Angular Constraints

* A preliminary version of this paper was presented at XI Encuentros de Geometr´ia Computacional, Santander, Spain, June 2005.

Едно обобщение на Наполеоновите триъгълници

Dimitar Belev, Vasilka Ignatova-Beleva - We present a generalization of the Napoleon triangles and investigate some of their properties.

Constructing 7-Clusters

ACM Computing Classification System (1998): G.2, G.4.

Optimal phase distributions for polygonal Fresnel lenses

Polygonal Fresnel zone plates can be configured in a variety of forms depending on the number of sides of the polygon and the number of phase steps used. This contribution deals with some specific polygonal designs that tessellate the plane: triangles, squares, and hexagons. The phase distribution is chosen as a continuous one to form a polygonal kinoform. The selected designs have been simulated and its behaviour compared. Although their performance is worse than the circular Fresnel plate, they may present some other advantages as the tessellation capability, and the possibility to fabricate them as extruded profiles.