Cell-based augmented reality (AR) content positioning systems may include a reference grid of cells, each of which includes a 32-bit intracellular coordinate system based on a respective reference point of the cell. Cell topology is selected such that the intracellular coordinate systems may utilize single-precision floating point numbers while retaining the ability to define content positions with, e.g., millimeter-level precision. Accordingly, rendering of AR content may be performed at a high precision using 32-bit devices and methods.

Implemented is a smart touch screen globe that sits on top of a stand. The stand has its own secondary display device that enables a user to control some of the features of the touch screen globe. The upper part of the stand has a vent to enable airflow throughout the device and globe and reduce heat within the device. The stand's base is slightly larger than the globe itself to accommodate the globe's weight and size better and thereby maintain the device's sturdiness. The stand is configured with various components and electronics, including Bluetooth, Wi-Fi, USB (Universal Serial Bus) ports, microphone, speaker, power ports, internal compass, battery, among other components.

An interactive globe or globular virtual assistant has a spherical body shell comprising one or more high resolution LED panels. Within the globe there are microphones and circuitry for accepting voice recognition (commands) and reacting appropriately. Communication circuitry allows communication with networks such as the internet or cellular networks, speakers allow sound as well as visual display. The panels may be touch sensitive so that it may be controlled by soft buttons rather than voice commands, or it may be controlled by an app on a mobile device or a program on a computer, either locally or remotely. It may display almost limitless information, particularly global and map related information.

An interactive globe or globular virtual assistant has a spherical body shell comprising one or more high resolution LED panels. Within the globe there are microphones and circuitry for accepting voice recognition (commands) and reacting appropriately. Communication circuitry allows communication with networks such as the internet or cellular networks, speakers allow sound as well as visual display. The panels may be touch sensitive so that it may be controlled by soft buttons rather than voice commands, or it may be controlled by an app on a mobile device or a program on a computer, either locally or remotely. It may display almost limitless information, particularly global and map related information.

A new class of polyhedron is constructed by decorating each of the triangular facets of an icosahedron with the T vertices and connecting edges of a “Goldberg triangle.” A unique set of internal angles in each planar face of each new polyhedron is then obtained, for example by solving a system of n equations and n variables, where the equations set the dihedral angle discrepancy about different types of edge to zero, where the independent variables are a subset of the internal angles in 6 gons. Alternatively, an iterative method that solves for angles within each hexagonal ring may be solved for that nulls dihedral angle discrepancy throughout the polyhedron. The 6 gon faces in the resulting “Goldberg polyhedra” are equilateral and planar, but not equiangular, and nearly spherical.

An apparatus comprised of flexible gores that are serially connected to each other at their lateral adjoining edges. These gores have a hole in their polar region and a drawstring runs through the gores' holes such that, when the drawstring is pulled, the drawstring pulls the gores' polar regions together and a radial three dimensional shape forms.

An apparatus comprised of flexible gores that are serially connected to each other at their lateral adjoining edges. These gores have a hole in their polar region and a drawstring runs through the gores' holes such that, when the drawstring is pulled, the drawstring pulls the gores' polar regions together and a radial three dimensional shape forms.

A self-rotating display device (1) includes and outer light transmissive container (2) containing a light transmissive fluid (6) and a body (4) containing an electric motor (14) for rotating the body with respect to the outer container. The body also carries a compass magnet (18) as a source of counter-torque for the motor to operate against. A magnetic positioning structure (20) made of ferromagnetic material secured to the container interacts with the magnetic field of the compass magnet to cause the body to migrate toward a location minimizing the distance between the magnetic positioning structure and compass magnet, so that the body can remain centered within the display while rotating.

A self-rotating display device (1) includes and outer light transmissive container (2) containing a light transmissive fluid (6) and a body (4) containing an electric motor (14) for rotating the body with respect to the outer container. The body also carries a compass magnet (18) as a source of counter-torque for the motor to operate against. A magnetic positioning structure (20) made of ferromagnetic material secured to the container interacts with the magnetic field of the compass magnet to cause the body to migrate toward a location minimizing the distance between the magnetic positioning structure and compass magnet, so that the body can remain centered within the display while rotating.

A celestial globe according to the present invention is characterized by comprising: a celestial sphere part for displaying constellations; a horizontal coordinate system part which is accommodated inside the celestial sphere part, and includes a disk part defining the surface of the ground at an observation spot and an upper hemisphere portion coupled to the upper side of the disk part and defining the sky as viewed from the perspective of an observer, and a rotation shaft member which defines the rotation axis of the Earth, wherein one side of the rotation shaft member is rotatably coupled to the disk part and the other side passes through the celestial sphere part.