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Translation in 2 directions

translation by combination of vectors

An object can be translated with various combinations of given vectors. For example, the following shape (poly1) is translated by the vector u+2v. The command is: Translate[poly1, u+2v] This means that poly1 is moved by the vector u, and then further moved by the vector 2v. Change vector u or v to see how the movement is affected.

figure 13

translate repeatedly in the same direction

We create a list of objects by translating ploy1 using different multiples of vector u (from -3u to 3u). The command is: list1=Sequence[Translate[poly1, m*u], m, -3, 3] The result is a set of 7 copies called list1. This list1 can then be transformed in another way as a single object.

figure 14

moving in another direction

The list1 created in previous example can be moved in another direction by the vector v. The slider k is used to illustrate how this result may change by using different multiples of vector v. The new list is created by the command: Translate[list1, k*v]

figure 15

array of objects

An array of objects can be made by generating another list, which contains multiple translations of previous object 'list1'. The command is: Sequence[Translate[list1, n*v], n, -3, 3]

figure 16