""" Hex Spiral Challenge by Diego Usage: enter a number 1 <= x <= 271 Phone Portrait Mode: 1 <= x <= 61 Phone Landscape Mode: 1 <= x <= 217 """ from itertools import cycle DIRECTIONS = '↖←↙↘→↗' SLANTED = {'↖': (-1, -1, ' \\'), '↙': ( 1, -1, ' /'), '↘': ( 1, 1, ' \\'), '↗': (-1, 1, ' /')} def hex_gen(end: int) -> (str, int, int): """Generate a sequence of numbers from 1 to end to build up a spiraling hexagon shape. Output tuple: - direction which way to put next number - next number - current radius of hexagon """ direction = cycle(DIRECTIONS) way, number, radius, count = None, 1, 0, 0 yield way, number, radius # first value while number < end: number += 1 count += 1 # to increase the radius of the hex: if number - 6 * sum(range(radius + 1)) == 2: radius += 1 yield '→', number, radius continue # to next iteration # to skip one step in the same direction: if number - 6 * sum(range(radius)) == 4: count += 1 # count from zero to radius then change direction if count >= radius: way = next(direction) count = 0 yield way, number, radius def hex_print(size: int) -> None: """Generate and print a list of strings from hex directions""" walk = hex_gen(size) _, number, old_radius = next(walk) hexagon = [f'{number:4}'] row, col = 0, 0 # current position in the hex # each string is right aligned in a 4-character box for way, number, radius in walk: # grow the hex: two lines at top and bottom, 4 chars on sides if old_radius < radius: new_line = ' ' * 4 * (radius * 2 + 1) hexagon = [new_line, new_line, *[f' {h} ' for h in hexagon], new_line, new_line] old_radius, row, col = radius, row + 2, col + 4 # add lines and numbers in the required direction if way in SLANTED: d_row, d_col, line_char = SLANTED[way] row, col = row + d_row, col + d_col hexagon[row] = hexagon[row][:col] + line_char + hexagon[row][col+4:] row, col = row + d_row, col + d_col hexagon[row] = hexagon[row][:col] + f'{number:4}' + hexagon[row][col+4:] elif way == '←': spaces = hexagon[row].count(' ', col, col+4) col -= 4 hexagon[row] = hexagon[row][:col] + f'{number:4}' + ('-'*spaces) + hexagon[row][col+spaces+4:] elif way == '→': col += 4 hexagon[row] = hexagon[row][:col] + f'{number:->4}' + hexagon[row][col+4:] print(*hexagon, sep='\n') try: x = int(input()) assert 0 < x < 272 except (ValueError, AssertionError) as e: print("Default value = 42") x = 42 hex_print(x) """ Input: 42 Output: 28--27--26--25 / \ 29 13--12--11 24 / / \ \ 30 14 4---3 10 23 42 / / / \ \ \ \ 31 15 5 1---2 9 22 41 \ \ \ / / / 32 16 6---7---8 21 40 \ \ / / 33 17--18--19--20 39 \ / 34--35--36--37--38 """