Shape-matrix geometric instruments having numerous applications including, but not limited to, anti-counterfeiting, graphical passwording, games, and geometry education. A shape-matrix geometric instrument is a manufacture and/or a method whose design is based on a shape-matrix that, in turn comprises a set of building blocks that are N-dimensional polytopes. Corner shapes are positioned in or near the interior corner spaces of at least ones of the shape-matrix building blocks. At least ones of the corner shapes differ from others in at least one property or aspect including, for example, geometric shape, orientation within the building block, and one or more surface “finishes,” such as color, shading, cross-hatching or real or apparent texture.

Shape-matrix geometric instruments having numerous applications including, but not limited to, anti-counterfeiting, graphical passwording, games, and geometry education. A shape-matrix geometric instrument is a manufacture and/or a method whose design is based on a shape-matrix that, in turn comprises a set of building blocks that are N-dimensional polytopes. Corner shapes are positioned in or near the interior corner spaces of at least ones of the shape-matrix building blocks. At least ones of the corner shapes differ from others in at least one property or aspect including, for example, geometric shape, orientation within the building block, and one or more surface “finishes,” such as color, shading, cross-hatching or real or apparent texture.

An interactive black hole orbital simulator includes a base. The base includes a first end, a second end, an upper surface and a lower surface. The upper surface includes a guide running from the first send to the second end. A vertical shaft extends from the second end of the base. A horizontal shaft extends from a top end of the vertical shaft towards the first end of the base. The present invention further includes a slide frame and an orbital displacement disc. The slide frame includes a bottom and a top. A rail is formed on the bottom. The rail slidably engages with the guide. A first magnet is secured to the top. The orbital displacement disc hangs from the horizontal shaft above the slide frame by at least one cord. The orbital displacement ring includes a second magnet.

An apparatus for demonstrating how golf balls interact with golf clubs includes a downswing plane, a club shaft attached to the downswing plane, a golf club head attached to the club shaft, and a collision-plane indicator attached to the golf club head wherein the collision-plane indicator illustrates the plane created by two intersecting lines that are in the direction of the path and the direction of the club face. Preferably, the downswing plane has an adjustable angle, and preferably the downswing plane swivels. Preferably the club shaft is pivotally attached to the downswing plane. Preferably the apparatus includes a removable golf ball with a spin axis through the middle of the ball, and with a black line across the middle of the ball that indicates spin direction perpendicular to the ball's spin axis.

An automation unit for training purposes, with a computer, including an arithmetic and logic unit, a computer housing, a data interface and a screen, wherein the arithmetic and logic unit, the data interface and the screen are accommodated in the computer housing. At least one operating module is provided, which includes a module casing on which is formed a connection device for electrical and/or fluidic connection to an external component and in which a processing unit for the processing of electrical signals of the computer and/or the external components is accommodated, wherein the operating module is designed for location in a working position adjacent to the screen and for signal communication with the arithmetic and logic unit via a wireless and/or wired signal path which runs over the data interface.

An automation unit for training purposes, with a computer, including an arithmetic and logic unit, a computer housing, a data interface and a screen, wherein the arithmetic and logic unit, the data interface and the screen are accommodated in the computer housing. At least one operating module is provided, which includes a module casing on which is formed a connection device for electrical and/or fluidic connection to an external component and in which a processing unit for the processing of electrical signals of the computer and/or the external components is accommodated, wherein the operating module is designed for location in a working position adjacent to the screen and for signal communication with the arithmetic and logic unit via a wireless and/or wired signal path which runs over the data interface.

The present invention relates to a metal-sheet board or blackboard with magnetic features having two or three movements, which plots and represents reality in four dimensions (horizontal, vertical, depth and time) and which describes reality objectively, in which a T-shaped ruler is moved on a rail along the horizontal or X axis by a digital stepper motor controlled by a driver and software on the computer (horizontal movement). Furthermore, a tool truck surrounding the T-shaped ruler moves along the entire length (vertical movement) or Y axis thereof, actuated by a digital stepper motor controlled by a driver, which is in turn controlled by software on the computer, with these two movements controlled by mathematical speed and acceleration functions.

The present invention relates to a metal-sheet board or blackboard with magnetic features having two or three movements, which plots and represents reality in four dimensions (horizontal, vertical, depth and time) and which describes reality objectively, in which a T-shaped ruler is moved on a rail along the horizontal or X axis by a digital stepper motor controlled by a driver and software on the computer (horizontal movement). Furthermore, a tool truck surrounding the T-shaped ruler moves along the entire length (vertical movement) or Y axis thereof, actuated by a digital stepper motor controlled by a driver, which is in turn controlled by software on the computer, with these two movements controlled by mathematical speed and acceleration functions.

The invention relates to a method and a device for generating at least one virtual image of a measurement object, in which a virtual position and/or a virtual orientation of the measurement object is determined and a virtual position and/or virtual orientation of at least one imaging or image recording device of a coordinate measuring machine is determined. The virtual image is generated on the basis of geometric data of the measurement object and on the basis of optical properties of the measurement object and the virtual image is additionally generated on the basis of imaging parameters of the imaging or image recording device.

The invention relates to a method and a device for generating at least one virtual image of a measurement object, in which a virtual position and/or a virtual orientation of the measurement object is determined and a virtual position and/or virtual orientation of at least one imaging or image recording device of a coordinate measuring machine is determined. The virtual image is generated on the basis of geometric data of the measurement object and on the basis of optical properties of the measurement object and the virtual image is additionally generated on the basis of imaging parameters of the imaging or image recording device.