Les 14 types de pentagones qui pavent le plan

Type 1 : D + E = 180
Type 2 : C + E = 180, a = d
Type 3 : A = C = D = 120, a = b, d = c + e
Type 4 : A = C = 90, a = b, c = d
Type 5 : C = 2A = 120, a = b, c = d
Type 6 : C + E = 180, A = 2C, a = b = e, c = d
Type 7 : 2B + C = 360, 2D + A = 360, a = b = c = d
Type 8 : 2A + B = 360, 2D + C = 360, a = b = c = d
Type 9 : 2E + B = 360, 2D + C = 360, a = b = c = d
Type 10 : E = 90, A + D = 180, 2B - D = 180, 2C + D = 360,
a = e = b + d
Type 11 : A = 90, C + E = 180, 2B + C = 360, d = e = 2a + c
Type 12 : A = 90, C + E = 180, 2B + C = 360, 2a = c + e = d
Type 13 : A = C = 90, 2B = 2E = 360 - D, c = d, 2c = e
Type 14 : D = 90, 2E + A = 360, C + A = 180, B + D + E = 360,
2e = 2c = a


Le 20/8/2003