function hex_reachable(start, movement):
var visited = set() # set of hexes
add start to visited
var fringes = [] # array of arrays of hexes
fringes.append([start])
for each 1 < k ≤ movement:
fringes.append([])
for each hex in fringes[k-1]:
for each 0 ≤ dir < 6:
var neighbor = hex_neighbor(hex, dir)
if neighbor not in visited and not blocked:
add neighbor to visited
fringes[k].append(neighbor)
return visited
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