Let o and 7 be the following symmetries of the regular pentagon: 2. 2 240° rotation...
Let o and be the following symmetries of the regular pentagon: 240° rotation reflection 5 6 (a) (6 points) Express o and T as permutations of the vertices (i.e., in two-row notation). (b) (9 points) Compute the following permutations. Express answers in two-row notation. i. OOT ii. τοσ iii. TOOOT (c) (5 points) Determine the symmetry represented by TOOOT. Give the axis of symmetry if a reflection, or the degrees of clock-wise rotation if a rotation.
ANSWER 2 & 3 please. Show work for my understanding and upvote. THANK YOU!! 2. Given a regular n-gon, let r be a rotation of it by 2π/n radians. This time, assume that we are not allowed to flip over the n-gon. These n actions form a group denotecd (a) Draw a Cayley diagram for Cn for n-4, n-5, and n-6 (b) For n 4, 5, 6, find all minimal generating sets of C.· [Note: There are minimal generating sets...
1 2 3 4 5 6 7 8 1. Following English statements 1 to 10 provide the data and information requirements necessary to develop a computer-based information system for labor and employee management. The company has 40 plants located in 30 states and approximately 90.000 employees. Each plant is divided into departments and further subdivided into work stations. There are 99 departments and 503 work stations in the company. In each department there is an on-line time clock at which...