Abstract: A method and system are provided for manufacturing a physical dental model. A virtual model is provided representative of at least a portion of the intra-oral cavity including at least one dental implant implanted therein, and the virtual model includes a virtual portion representative of each dental implant. The virtual spatial disposition of each such virtual portion is determined with respect to the virtual model, corresponding to a real spatial disposition of the respective implant with respect to the intra oral cavity. A physical model is then manufactured based on the virtual model, the physical model including a physical analog corresponding to each implant at a respective physical spatial disposition with respect to the physical model corresponding to the respective virtual spatial disposition of the respective virtual portion with respect to the first virtual model as already determined.

Abstract: A device that teaches the relationship between a cylinder's surface areas and volume, its diameter and radius, the top circle circumference and area, the arc length, the sector area, the volume of a slice, the front area of the slice and the side area of the slice. The device includes a transparent hollow outer half-cylinder, and a solid inner half-cylinder that can rotates around a common center for both the inner and outer half-cylinders. The outer half-cylinder has marked off units around the 180 degrees of the half-cylinder. The equations of arc length and sector area along with examples of their meanings are shown on the top half circle. The inner half-cylinder also has marked off units around the 180 degrees of the half-cylinder. The equations for volume of a slice, the front surface area of the slice, and the side surface area of the slice are shown.

Abstract: A method is provided that allows a simple and inexpensive apparatus to measure the uniformity of the height-directional positions of spheres or hemispheres such as bump electrodes of a semiconductor device. The degree of focus is calculated from an image of bump electrodes 11a and 11b acquired at a first focusing position F1 using an imaging system. After that, the bump electrodes 11a and 11b and the imaging system is relatively moved closer or farther, and then the degree of focus is calculated from an image acquired at a second focusing position F2. The degrees of focus at these two focusing positions F1 and F2 are compared with each other. As a result, detected are the contour lines of the horizontal cross sections of the bump electrodes 11a and 11b at the height (F1+F2)/2 of the position of equal degree of focus indicated by PQ. On the basis of the shapes and/or sizes thereof, the height-directional positions of the bump electrodes 11a and 11b are measured.

Abstract: The present invention provides a variety of laminated plastic activity boards that allow the individual to visualize and have interactive exploration of conic sections and their definitions. This allows for more class time to be spent investigating the concept of conic sections opposed to teachers lecturing and the students having to memorize them. The user is able to notice patterns which develop while drawing specific sets of conic sections by forming conjectures based on the observed outcomes of the activities. Each activity board has a reusable laminated surface which allows the ink used from a marker to be visible but not permanent. The surface can be wiped clean with a moist paper towel once the activity is completed. There are a total of four activity boards which operate independently of each other and contain different concepts. The four boards teach principles relating to the circle, ellipse, parabola and hyperbola.

Abstract: A spherical body is formed of a plurality of polygonal-shaped members interconnected together at abutting side walls. Each polygonal member has an exterior surface disposed at a predetermined radius of curvature, with the exterior surfaces of the plurality of interconnected polygonal members forming the exterior surface of the spherical body when the members are joined together. In one embodiment, the polygonal members comprise pentagon-shaped members such that the spherical body is completely formed of identical, pentagon-shaped members. Various designs may be formed in the exterior surface of each polygonal member by use of raised and recessed portions in the exterior surface, as well as having certain portions of the exterior surface of each polygonal member devoid of material.