Let D c R[sup]2[/sup] be the unit disk in the Euclidean plane, and let S c R[sup]2[/sup] be the filled in square of unit side-length. Can you decompose D as the disjoint union of two connected sets, D= D1∪ D2, and S as the disjoint union of two connected sets, S=S1∪S2, such that D1 is similar to S1 and D2 is similar to S2?(here "similar to" means they differ only by scaling;in other words, by th linear transformation L(x)=aXfor some positive number a∈ R.) You can present your proposed solutuion in the form of drwan pictures
Your question requires more work and can be submitted as an assignment to our site. Just follow this link and our experts will assist you.