What kinds of curve and surface continuity can be achieved in Rhino?
What will be an ideal response?
A way to describe the smoothness at the junction between two contiguous curves or surfaces is called continuity. Rhino 4 uses its proprietary G-Infinity blending technology to provide five kinds of continuity: G0, G1, G2, G3, and G4. G0 continuity is also known as positional continuity. At a G0 (positional) continuity joint, the end points of the curves or the edges of two surfaces simply coincide, having common control points. Their curvature radii and tangent directions at the common joint are different. G1 continuity is also known as tangent continuity. In a G1 continuity joint, the tangent directions of the control points at the end points of the curves or the edges of the surfaces are the same. However, their curvature radii are different. G2 continuity is also called curvature continuity. In a G2 continuity joint, the curvature radii and tangent directions of the control points at the end points of the curves or the edges of contiguous surfaces are the same. At a G3 continuity joint, the change of rate of curvature between contiguous curves/surfaces is constant, providing a much smoother joint than the G2 continuity joint. At a G3 continuity joint, the change of rate of curvature between contiguous curves/surfaces is constant, providing a much smoother joint than the G2 continuity joint. A G4 continuity joint is even smoother because the rate of change of the rate of change of curvature at the common end point/edge of contiguous curves/surfaces is constant. A G4 joint is so smooth that it can hardly be seen as separate curves/surfaces.
You might also like to view...
Which of the following is a syntax error?
a) Having duplicate cases in the same switch statement. b) Using an int variable in the test expression of a switch statement. c) Having a default case in a switch statement. d) Using a string variable in the test expression of a switch statement.
When this process is complete, the array elements that are still set to one indicate that the subscript is a prime number. These subscripts can then be printed. Write a program that uses an array of 1000 elements to determine and print the prime numbers between 2 and 999. Ignore element 0 of the array.
(The Sieve of Eratosthenes) A prime integer is any integer that is evenly divisible only by itself and 1. The Sieve of Eratosthenes is a method of finding prime numbers. It operates as follows: a) Create an array with all elements initialized to 1 (true). Array elements with prime subscripts will remain 1. All other array elements will eventually be set to zero. You’ll ignore elements 0 and 1 in this exercise. b) Starting with array subscript 2, every time an array element is found whose value is 1, loop through the remainder of the array and set to zero every element whose subscript is a multiple of the subscript for the element with value 1. For array subscript 2, all elements beyond 2 in the array that are multiples of 2 will be set to zero (subscripts 4, 6, 8, 10, etc.); for array subscript 3, all elements beyond 3 in the array that are multiples of 3 will be set to zero (subscripts 6, 9, 12, 15, etc.); and so on.