Task: Chaocipher
Java: import java.util.Arrays;

public class Chaocipher {
    private enum Mode {
        ENCRYPT,
        DECRYPT
    }

    private static final String L_ALPHABET = "HXUCZVAMDSLKPEFJRIGTWOBNYQ";
    private static final String R_ALPHABET = "PTLNBQDEOYSFAVZKGJRIHWXUMC";

    private static int indexOf(char[] a, char c) {
        for (int i = 0; i < a.length; ++i) {
            if (a[i] == c) {
                return i;
            }
        }
        return -1;
    }

    private static String exec(String text, Mode mode) {
        return exec(text, mode, false);
    }

    private static String exec(String text, Mode mode, Boolean showSteps) {
        char[] left = L_ALPHABET.toCharArray();
        char[] right = R_ALPHABET.toCharArray();
        char[] eText = new char[text.length()];
        char[] temp = new char[26];

        for (int i = 0; i < text.length(); ++i) {
            if (showSteps) {
                System.out.printf("%s  %s\n", new String(left), new String(right));
            }
            int index;
            if (mode == Mode.ENCRYPT) {
                index = indexOf(right, text.charAt(i));
                eText[i] = left[index];
            } else {
                index = indexOf(left, text.charAt(i));
                eText[i] = right[index];
            }
            if (i == text.length() - 1) {
                break;
            }

            

            if (26 - index >= 0) System.arraycopy(left, index, temp, 0, 26 - index);
            System.arraycopy(left, 0, temp, 26 - index, index);
            char store = temp[1];
            System.arraycopy(temp, 2, temp, 1, 12);
            temp[13] = store;
            left = Arrays.copyOf(temp, temp.length);

            

            if (26 - index >= 0) System.arraycopy(right, index, temp, 0, 26 - index);
            System.arraycopy(right, 0, temp, 26 - index, index);
            store = temp[0];
            System.arraycopy(temp, 1, temp, 0, 25);
            temp[25] = store;
            store = temp[2];
            System.arraycopy(temp, 3, temp, 2, 11);
            temp[13] = store;
            right = Arrays.copyOf(temp, temp.length);
        }

        return new String(eText);
    }

    public static void main(String[] args) {
        String plainText = "WELLDONEISBETTERTHANWELLSAID";
        System.out.printf("The original plaintext is : %s\n", plainText);
        System.out.println("\nThe left and right alphabets after each permutation during encryption are:");
        String cipherText = exec(plainText, Mode.ENCRYPT, true);
        System.out.printf("\nThe cipher text is : %s\n", cipherText);
        String plainText2 = exec(cipherText, Mode.DECRYPT);
        System.out.printf("\nThe recovered plaintext is : %s\n", plainText2);
    }
}

Python: 



def main():
    
    lalpha = "HXUCZVAMDSLKPEFJRIGTWOBNYQ"
    ralpha = "PTLNBQDEOYSFAVZKGJRIHWXUMC"
    msg = "WELLDONEISBETTERTHANWELLSAID"

    print("L:", lalpha)
    print("R:", ralpha)
    print("I:", msg)
    print("O:", do_chao(msg, lalpha, ralpha, 1, 0), "\n")
    
    do_chao(msg, lalpha, ralpha, 1, 1)

def do_chao(msg, lalpha, ralpha, en=1, show=0):
    msg = correct_case(msg)
    out = ""    
    if show:
        print("="*54)        
        print(10*" " + "left:" + 21*" " + "right: ")
        print("="*54)        
        print(lalpha, ralpha, "\n")
    for L in msg:
        if en:
            lalpha, ralpha = rotate_wheels(lalpha, ralpha, L)
            out += lalpha[0]
        else:
            ralpha, lalpha = rotate_wheels(ralpha, lalpha, L)
            out += ralpha[0]
        lalpha, ralpha = scramble_wheels(lalpha, ralpha)
        if show:
            print(lalpha, ralpha)            
    return out
    
def makealpha(key=""):
    alpha = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
    z = set()
    key = [x.upper() for x in (key + alpha[::-1])
           if not (x.upper() in z or z.add(x.upper()))]
    return "".join(key)

def correct_case(string):
    return "".join([s.upper() for s in string if s.isalpha()])

def permu(alp, num):
    alp = alp[:num], alp[num:]
    return "".join(alp[::-1])

def rotate_wheels(lalph, ralph, key):
    newin = ralph.index(key)
    return permu(lalph, newin), permu(ralph, newin)    

def scramble_wheels(lalph, ralph):
    
    
    lalph = list(lalph)
    lalph = "".join([*lalph[0],
                    *lalph[2:14],
                    lalph[1],
                    *lalph[14:]])
    
    
    
    
    ralph = list(ralph)
    ralph = "".join([*ralph[1:3],
                     *ralph[4:15],
                     ralph[3],
                     *ralph[15:],
                     ralph[0]])
    return lalph, ralph

main()