An indigenous community mental health service on the Tohono O'odham (Papago) Indian reservation: Seventeen years later

The status of a fully indigenous mental health program serviced and controlled by the Tohono O'odham (Papago) Indian tribe is reviewed from the perspective of its 17-year history. The program functions in large measure in a crisis intervention model, with suicidal or acutely disturbed cases being most frequent. However, a whole range of disorders and ages are seen. Traditional Medicine Men and Women are often used as consultants, as are some professionals. In recent years child sex abuse and abuse of drugs among youth are prominent problems. The program experienced problems of obtaining services off reservations for patients in need, and in establishing credibility of the Indian Mental Health workers with the outside service providers.     

Angular homeostasis: IV. Polygonal orbits

Some properties are discussed of regular polygons that may result from angular homeostatic processes in stable orbit. To characterize these homeostatic polygons we need to discuss the winding number, the sidedness (integer, fractional and irrational), multiplicity, envelopes, and density. A regular (i.e., equilateral, equiangular) polygon may be closed in one revolution about its unique center, in multiple revolutions, or not at all. A homeostatic polygon can be generated only if all vertices are included in a single polygon, which occurs if and only if the number of vertices and the number of revolutions required to complete the polygon are relatively prime. For the homeostatic polygon to have a finite number of sides (without repeating itself) the angle subtended by any two successive vertices at the center must be a rational multiple of 2. Biological implications of these properties are illustrated.