1347.sagews

square = polygon([(0,0),(0, 1),(1, 1),(1, 0)])
show(square, aspect_ratio = 1)

median = line([(1/2, 0), (1/2, 1)], color = 'yellow', linestyle = '--')
diag = line([(1/2, 0), (1, 1)], color = 'yellow', linestyle = '--')
show(square + median + diag, aspect_ratio = 1)

circ = circle((1/2, 0), sqrt(5)/2, color = 'black', linestyle = 'dashed')
show(square + median + diag + circ, aspect_ratio = 1)

rec = polygon([(1, 0), (1, 1), ((1+sqrt(5))/2, 1), ((1+sqrt(5))/2, 0)], color = 'red')
show(rec + square + median + diag + circ, aspect_ratio = 1)

show(rec + square, aspect_ratio = 1)

golden_rec = polygon([(0, 0), (0, 1), ((1+sqrt(5))/2, 1), ((1+sqrt(5))/2, 0)], color = 'purple')
show(golden_rec, aspect_ratio = 1)