Kayutangan

Malang · Kampung kota

A terraced kampung behind the Kayutangan corridor, dropping toward the Brantas.

Drive

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 3.265 · φ 0.27

Orientation entropy: 3.265nat
H / H max: 0.911
φ orientation-order: 0.269
Circuity: 1.402~464
Average node degree: 2.27
Four-way: 4.3%
Dead-end: 31.8%
Intersection density: 158 /km²
Median segment length: 30 m
Network length: 30.2 km

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. 464 pairs sampled · 27 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.

Where these come from

Nodes: 578
Edges: 657
Intersections (degree ≥ 3): 317
Disc area: 2.01 km²
Intersection density: 158 /km²
Rose weighted length: 60.4 km
Per-edge circuity: 1.034

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.

Walk

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 3.315 · φ 0.23

Orientation entropy: 3.315nat
H / H max: 0.925
φ orientation-order: 0.229
Circuity: 1.365~463
Average node degree: 2.46
Four-way: 10.4%
Dead-end: 24.9%
Intersection density: 372 /km²
Median segment length: 24 m
Network length: 54.8 km

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. 463 pairs sampled · 26 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.

Where these come from

Nodes: 1248
Edges: 1532
Intersections (degree ≥ 3): 747
Disc area: 2.01 km²
Intersection density: 372 /km²
Rose weighted length: 109.6 km
Per-edge circuity: 1.045

Both roses overlaid

Drive H 3.265 · φ 0.27Walk H 3.315 · φ 0.23

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

Drive
Walk
Both

DeltaWalk − Drive

Orientation entropy: +0.050
H / H max: +0.014
φ orientation-order: −0.040
Circuity: −0.037
Average node degree: +0.18
Four-way: +6.1%
Dead-end: −6.9%
Intersection density: +214
Median segment length: −6
Network length: +24.6

What walking adds

Walk-only length: 24.6 km
Share of walking network: 44.8%

Fig. 3 · r = 800 m — 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.

Rose as a table — 36 bins — Kayutangan

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°	3.99%	4.16%	0.1284	0.1323
01	5°–15°	4.11%	4.66%	0.1312	0.1428
02	15°–25°	5.62%	5.38%	0.1618	0.1573
03	25°–35°	6.47%	5.64%	0.1772	0.1621
04	35°–45°	1.72%	1.87%	0.0700	0.0745
05	45°–55°	0.71%	0.70%	0.0352	0.0347
06	55°–65°	0.31%	0.38%	0.0180	0.0211
07	65°–75°	0.53%	0.49%	0.0277	0.0261
08	75°–85°	0.96%	0.94%	0.0445	0.0438
09	85°–95°	2.41%	2.52%	0.0897	0.0928
10	95°–105°	4.15%	4.01%	0.1321	0.1290
11	105°–115°	3.86%	4.82%	0.1256	0.1462
12	115°–125°	6.79%	5.31%	0.1827	0.1558
13	125°–135°	5.01%	4.83%	0.1500	0.1464
14	135°–145°	1.24%	1.25%	0.0545	0.0547
15	145°–155°	0.55%	0.72%	0.0287	0.0356
16	155°–165°	0.58%	0.86%	0.0298	0.0410
17	165°–175°	0.98%	1.45%	0.0453	0.0613
18	175°–185°	3.99%	4.16%	0.1284	0.1323
19	185°–195°	4.11%	4.66%	0.1312	0.1428
20	195°–205°	5.62%	5.38%	0.1618	0.1573
21	205°–215°	6.47%	5.64%	0.1772	0.1621
22	215°–225°	1.72%	1.87%	0.0700	0.0745
23	225°–235°	0.71%	0.70%	0.0352	0.0347
24	235°–245°	0.31%	0.38%	0.0180	0.0211
25	245°–255°	0.53%	0.49%	0.0277	0.0261
26	255°–265°	0.96%	0.94%	0.0445	0.0438
27	265°–275°	2.41%	2.52%	0.0897	0.0928
28	275°–285°	4.15%	4.01%	0.1321	0.1290
29	285°–295°	3.86%	4.82%	0.1256	0.1462
30	295°–305°	6.79%	5.31%	0.1827	0.1558
31	305°–315°	5.01%	4.83%	0.1500	0.1464
32	315°–325°	1.24%	1.25%	0.0545	0.0547
33	325°–335°	0.55%	0.72%	0.0287	0.0356
34	335°–345°	0.58%	0.86%	0.0298	0.0410
35	345°–355°	0.98%	1.45%	0.0453	0.0613
Sum = H				3.265	3.315

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.

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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.