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Problems with the Unit Cell

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I am having trouble drawing the unit cell and labelling the symmetry elements.

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Solution Summary

This solution provides a detailed description of the labelling process for a repeating unit 2D sheet. The explanation involves drawing unit sheets and labelling of rotational/mirror/inversion symmetry elements.

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Integer Programming Problem: Transportation and Transshipment

Part 1 Transportation
The following network describes a transportation scenario in which there are four sources A, B, C, and D; and there are three destinations P, Q, and R. (The numbers next to each arrow represents the cost of transporting one unit from that particular source to the destination located at the other end of that arrow).

Part 2 Transshipment)
By including intermediary distribution centers X and Y as shown below and using the given network, will the company save money in its transportation costs compared to the results obtained in part 1? Need assistance solving the problem by using Excel, and find the optimal cost.

(see the attached file for more information)

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