Two Sets of Simple Formulae to Estimating Fractal Dimension of Irregular Boundaries

Table 6

Two sets of fractal dimension estimation for boundary lines of major cities in Beijing-Tianjin-Hebei region in 2010.

City	Boundary dimension D(1)					Boundary dimension D(2)
	Triangle	Square	Hexagon	Circle	Hexagram	Triangle	Square	Hexagon	Circle	Hexagram
Baoding	1.7645	1.9378	2.1824	2.2619	2.2180	1.5606	1.6118	1.6414	1.6621	1.5079
Beijing	1.5875	1.6820	1.7953	1.8318	1.7729	1.4702	1.5060	1.5264	1.5406	1.4327
Cangzhou	1.7615	1.9535	2.2364	2.3305	2.2904	1.5446	1.5988	1.6303	1.6524	1.4891
Chengde	1.8357	2.0515	2.3794	2.4881	2.4731	1.5905	1.6481	1.6815	1.7051	1.5316
Handan	1.7553	1.9279	2.1719	2.2513	2.2057	1.5531	1.6043	1.6338	1.6545	1.5006
Hengshui	1.6334	1.8020	2.0450	2.1283	2.0552	1.4534	1.5043	1.5339	1.5546	1.4013
Langfang	1.6681	1.8456	2.1048	2.1932	2.1292	1.4765	1.5287	1.5590	1.5803	1.4230
Qinhuangdao	1.6354	1.7892	2.0026	2.0744	2.0031	1.4650	1.5133	1.5412	1.5608	1.4153
Shijiazhuang	1.6287	1.7578	1.9263	1.9816	1.9149	1.4775	1.5210	1.5461	1.5636	1.4323
Tangshan	1.7303	1.8869	2.1011	2.1704	2.1190	1.5440	1.5924	1.6203	1.6398	1.4941
Tianjin	1.5895	1.6886	1.8089	1.8478	1.7867	1.4679	1.5048	1.5259	1.5406	1.4292
Xingtai	1.6971	1.8700	2.1177	2.2005	2.1428	1.5038	1.5551	1.5849	1.6058	1.4511
Zhangjiakou	1.6541	1.8336	2.0981	2.1892	2.1219	1.4636	1.5162	1.5467	1.5682	1.4098
Average	1.6878	1.8482	2.0746	2.1499	2.0948	1.5054	1.5542	1.5824	1.6022	1.4552