math assignment

Iterated Fractals Using the initiator and generator shown, draw the next two stages of the iterated fractal.

Fractal Dimension

9. Determine the fractal dimension of the Koch curve

15. Compute: a) (2 + 3i) + (3 – 4i) b) (3 – 5i) – (–2 – i)

Cryptography

Substitution ciphers In the questions below, if it specifies an alphabetic cipher, then the original map used letters only: ABCDEFGHIJKLMNOPQRSTUVWXYZ. If it specifies an alphanumeric cipher, then the original map used letters and numbers: ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789

1. Encrypt the message “SEND SUPPLIES” using an alphabetic Caesar cipher with shift 7 (mapping A to H).

For questions 5-8 use this substitution mapping: Original: ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789 Maps to: HLCO2BQF5WRTZN1G4D8IJ6SUVK3A0X9YME7P 5. Use the substitution mapping to encrypt the message “DEAR DIARY”

9. Encrypt the message “Meet in the library at ten” using a tabular transposition cipher with rows of length 5 characters.

20. Compute a. 20 mod 4 b. 14 mod 3 c. 86 mod 13

RSA 27. Suppose that Alice has computed n = 33, e = 7, and d = 3. Show how Bob would encrypt the message 5 and how Alice would then decrypt it.