the origin to the new plane. inclined Figure 2 displays several examples of initial seed shapes. controls the transparency of the faces of the polyhedron. “Opacity” 3.2.2. Growth settings = sets the time to infinity and the polyhedron shown on the right-hand side is the ultimate “t ∞” shape. of growth sets the time in hours at which the polyhedron (t) is calculated. t P “Time (hrs)” sets the value of the growth speed in millimeters per hour. “ (mm/hr)” are the three main growth parameters defined in the first section. “α ”, “β”, “γ ” The four sliders cut control the multipliers for = (100), (110) , (111) Vn mn n “Vicinal multiplier” , (113) as described in Subsection Figure 3 displays a example of the evolution of the growth for a particular seed shape and growth parameter settings. Section settings It is possible to view the growth sectors inside the crystal in the form of their traces on the section plane = x c. Note that each section comprises many thin colored polygons, therefore it may appear transparent if their number is too low. Each of the polygons is the section of the polyhedron (τ) at some point P in time between 0 and with its edges colored in agreement with the colors of the faces they were t τ in. Note that there is always between two neighboring polygons. There may equal amount of time be a hole in the middle of the section. It corresponds to the case when the section plane has a normal vector which coincides with one of the normal vectors of the polyhedron and thus the corresponding face of the crystal the section plane at some positive time , therefore giving “hits” the nonzero size of the earliest nonempty section. The at time enables the section mode. “Cut t” checkbox The gray section checkbox controls the visibility of the gray face that is drawn behind “Draw face” the section polygons. Enabling this option is recommended if the section plane looks transparent and you do not want to increase the number of polygons. With this setting on it is recommended to turn up the setting to 1 to avoid clipping. “Opacity” The three sliders normal specify the normal vector of the cutting plane. “Cut ”
the origin to the new inclined plane. Figure 2 displays several examples of initial seed shapes. “Opacity” controls the transparency of the faces of the polyhedron. 3.2.2. Growth settings “t = ∞” sets the time to infinity and the polyhedron shown on the right-hand side is the ultimate shape. “Time of growth (hrs)” sets the time t in hours at which the polyhedron P (t) is calculated. “ (mm/hr)” sets the value of the growth speed in millimeters per hour. “α ”, “β”, “γ ” are the three main growth parameters defined in the first section. The four sliders “Vicinal cut Vn multiplier” control the multipliers mn for n = (100), (110) , (111) , (113) as described in Subsection Figure 3 displays a example of the evolution of the growth for a particular seed shape and growth parameter settings. Section settings It is possible to view the growth sectors inside the crystal in the form of their traces on the section plane x = c. Note that each section comprises many thin colored polygons, therefore it may appear transparent if their number is too low. Each of the polygons is the section of the polyhedron P (τ) at some point in time τ between 0 and t with its edges colored in agreement with the colors of the faces they were in. Note that there is always equal amount of time between two neighboring polygons. There may be a hole in the middle of the section. It corresponds to the case when the section plane has a normal vector which coincides with one of the normal vectors of the polyhedron and thus the corresponding face of the crystal “hits” the section plane at some positive time , therefore giving the nonzero size of the earliest nonempty section. The “Cut at time t” checkbox enables the section mode. The “Draw gray section face” checkbox controls the visibility of the gray face that is drawn behind the section polygons. Enabling this option is recommended if the section plane looks transparent and you do not want to increase the number of polygons. With this setting on it is recommended to turn up the “Opacity” setting to 1 to avoid clipping. The three sliders “Cut normal ” specify the normal vector of the cutting plane.
GeometricModel-revised2.docx