The Golden Mean Rectangle is supposed to be the most pleasing and communicative shape possible (have no clue who said that)

(square root(height²+0.5height²))+0.5*height

	height	length
	5	8.09
	6	9.71
	7	11.33
	8	12.94
	9	14.56
	10	16.18
	11	17.80
	12	19.42
	13	21.03
	14	22.65
	15	24.27
	16	25.89
	17	27.51
	18	29.12
	19	30.74
	20	32.36
	21	33.98
	22	35.60
	23	37.21
	24	38.83
	25	40.45
	26	42.07
	27	43.69
	28	45.30
	29	46.92
	30	48.54
	31	50.16
	32	51.78
	33	53.40
	34	55.01
	35	56.63
	36	58.25
	37	59.87
	38	61.49