Pathuk

Yogyakarta · Kampung kota

A kampung west of Malioboro with streets named after wayang figures. Most of its network is tagged living street rather than ordinary residential road.

Drive

32.8 km · 150 intersections/km²

Fig. 1 · r = 800 m — The drivable network inside the sampling disc. Uniform ink, no road-class hierarchy, no basemap: the shape is the subject.

Drive H 2.939 · φ 0.50

Walk

48.2 km · 285 intersections/km²

Fig. 2 · r = 800 m — The walkable network at the same centre, the same disc, the same extract. Every difference from the drawing beside it is the tag mapping, not a different place.

Walk H 2.985 · φ 0.47

Delta

+15.4

km of network reachable only on foot · 31.9% of the walking network

+136
intersections per km²: −4.7%
Dead-end: +0.046
ΔH · orientation entropy

Both roses overlaid

Drive H 2.939 · φ 0.50Walk H 2.985 · φ 0.47

Drive
Walk
Both

Two readings, one table

Hairlines: every site in the set, both modes. Marks: this site. A position, not a value — neither end is better.

Pathuk: driving and walking network metrics, their difference, and their position among 33 sites.
Metric	Drive	Walk	Delta	Position among 33 sites
Orientation entropynat	2.939	2.985	+0.046	Drive: position 8 of 33; Walk: position 9 of 33, when the set is sorted by this metric, smallest first.
H / H max	0.820	0.833	+0.013	Drive: position 8 of 33; Walk: position 9 of 33, when the set is sorted by this metric, smallest first.
φ orientation-order	0.501	0.471	−0.030	Drive: position 26 of 33; Walk: position 25 of 33, when the set is sorted by this metric, smallest first.
Circuitysampled	1.427	1.395	−0.032	Drive: position 9 of 33; Walk: position 9 of 33, when the set is sorted by this metric, smallest first.
Average node degree	2.26	2.37	+0.11	Drive: position 13 of 33; Walk: position 11 of 33, when the set is sorted by this metric, smallest first.
Four-way	5.5%	6.9%	+1.4%	Drive: position 18 of 33; Walk: position 15 of 33, when the set is sorted by this metric, smallest first.
Dead-end	34.7%	29.9%	−4.7%	Drive: position 24 of 33; Walk: position 25 of 33, when the set is sorted by this metric, smallest first.
Intersection density	150 /km²	285 /km²	+136 /km²	Drive: position 16 of 33; Walk: position 21 of 33, when the set is sorted by this metric, smallest first.
Median segment length	43 m	36 m	−7 m	Drive: position 24 of 33; Walk: position 22 of 33, when the set is sorted by this metric, smallest first.
Network length	32.8 km	48.2 km	+15.3 km	Drive: position 15 of 33; Walk: position 20 of 33, when the set is sorted by this metric, smallest first.

H is in nats — the natural-log unit of information. That is why its maximum is ln 36 ≈ 3.584 rather than log₂ 36.

Circuity is an estimate: network distance over straight-line distance, averaged across a seeded sample of node pairs rather than across all of them. Drive: 387 pairs sampled · 106 pairs unreachable.Walk: 461 pairs sampled · 32 pairs unreachable. Pairs with no route between them at all are excluded from the mean. A large count means this network is fragmented — a signal about the data, not about the place.

Each street segment’s bearing goes into one of 36 bins of 10°, weighted by length: a 500 m road counts ten times a 50 m gang. Bar length is the share of network length running that way, not a count of segments. The rose is always 180°-symmetric, because one segment traversed both ways differs by exactly 180°. Boeing 2019 §3

Fig. 3 · r = 800 m

What walking adds

Ink: the edges that exist only in the walking network. Hairline: the network both modes share. Membership is decided by the tag mapping — an edge counts as walk-only when the OSM way it came from is not admitted to the driving network.

Walk-only length: 15.4 km
Share of walking network: 31.9%

Where these numbers come from

Drive

Nodes: 545
Edges: 616
Intersections (degree ≥ 3): 301
Disc area: 2.01 km²
Intersection density: 150 /km²
Rose weighted length: 65.6 km
Per-edge circuity: 1.020

Walk

Nodes: 955
Edges: 1132
Intersections (degree ≥ 3): 574
Disc area: 2.01 km²
Intersection density: 285 /km²
Rose weighted length: 96.3 km
Per-edge circuity: 1.021

The intermediate values the column above is built from. Intersection density is the intersection count over the disc area; the weighted length is the denominator that turns a rose bar into a share. Two different circuity measures: the per-edge one compares each segment against its own chord, the sampled one compares distances between junctions. The first measures how much streets bend, the second how far out of your way the network takes you.

Rose as a table — 36 bins — Pathuk

Share of network length per 10° bearing bin, for drive and walk.
Bin	Bearing range	P — Drive	P — Walk	−P·ln P	−P·ln P
00	355°–5°	4.02%	4.42%	0.1292	0.1379
01	5°–15°	11.99%	10.86%	0.2543	0.2411
02	15°–25°	5.08%	5.03%	0.1514	0.1504
03	25°–35°	1.19%	1.38%	0.0527	0.0592
04	35°–45°	0.80%	0.66%	0.0386	0.0331
05	45°–55°	0.47%	0.54%	0.0252	0.0283
06	55°–65°	0.17%	0.19%	0.0107	0.0120
07	65°–75°	0.29%	0.29%	0.0170	0.0169
08	75°–85°	0.86%	0.98%	0.0409	0.0455
09	85°–95°	4.29%	5.02%	0.1352	0.1501
10	95°–105°	10.27%	9.67%	0.2337	0.2259
11	105°–115°	6.20%	6.32%	0.1724	0.1746
12	115°–125°	1.55%	1.60%	0.0645	0.0660
13	125°–135°	0.49%	0.40%	0.0261	0.0221
14	135°–145°	0.23%	0.30%	0.0140	0.0174
15	145°–155°	0.48%	0.47%	0.0258	0.0252
16	155°–165°	0.66%	0.72%	0.0333	0.0357
17	165°–175°	0.95%	1.14%	0.0444	0.0510
18	175°–185°	4.02%	4.42%	0.1292	0.1379
19	185°–195°	11.99%	10.86%	0.2543	0.2411
20	195°–205°	5.08%	5.03%	0.1514	0.1504
21	205°–215°	1.19%	1.38%	0.0527	0.0592
22	215°–225°	0.80%	0.66%	0.0386	0.0331
23	225°–235°	0.47%	0.54%	0.0252	0.0283
24	235°–245°	0.17%	0.19%	0.0107	0.0120
25	245°–255°	0.29%	0.29%	0.0170	0.0169
26	255°–265°	0.86%	0.98%	0.0409	0.0455
27	265°–275°	4.29%	5.02%	0.1352	0.1501
28	275°–285°	10.27%	9.67%	0.2337	0.2259
29	285°–295°	6.20%	6.32%	0.1724	0.1746
30	295°–305°	1.55%	1.60%	0.0645	0.0660
31	305°–315°	0.49%	0.40%	0.0261	0.0221
32	315°–325°	0.23%	0.30%	0.0140	0.0174
33	325°–335°	0.48%	0.47%	0.0258	0.0252
34	335°–345°	0.66%	0.72%	0.0333	0.0357
35	345°–355°	0.95%	1.14%	0.0444	0.0510
Sum = H				2.939	2.985

The last column is each bin’s term in H = −Σ P(i)·ln P(i). Add the thirty-six of them and you get the H printed under the rose. An empty bin contributes zero.

Download this site’s data (JSON, ODbL)

Data jalan © OpenStreetMap contributors, ODbL 1.0. Basis data turunan ini ditawarkan dengan lisensi yang sama. · Boeing, G. 2019. Urban Spatial Order: Street Network Orientation, Configuration, and Entropy. Applied Network Science 4(1):67.