Gapuk Utara

Mataram · Kampung kota

Dense settlement in central Mataram, carrying far more residential street than anywhere else in this set.

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 3.009 · φ 0.45

Orientation entropy: 3.009nat
H / H max: 0.840
φ orientation-order: 0.454
Circuity: 1.581~421
Average node degree: 2.28
Four-way: 4.6%
Dead-end: 34.1%
Intersection density: 186 /km²
Median segment length: 45 m
Network length: 41.2 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. 421 pairs sampled · 74 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: 651
Edges: 742
Intersections (degree ≥ 3): 374
Disc area: 2.01 km²
Intersection density: 186 /km²
Rose weighted length: 82.3 km
Per-edge circuity: 1.036

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 3.029 · φ 0.44

Orientation entropy: 3.029nat
H / H max: 0.845
φ orientation-order: 0.441
Circuity: 1.559~453
Average node degree: 2.42
Four-way: 5.8%
Dead-end: 27.7%
Intersection density: 268 /km²
Median segment length: 42 m
Network length: 50.7 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. 453 pairs sampled · 34 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: 840
Edges: 1017
Intersections (degree ≥ 3): 538
Disc area: 2.01 km²
Intersection density: 268 /km²
Rose weighted length: 101.4 km
Per-edge circuity: 1.037

Both roses overlaid

Drive H 3.009 · φ 0.45Walk H 3.029 · φ 0.44

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: +0.019
H / H max: +0.005
φ orientation-order: −0.013
Circuity: −0.022
Average node degree: +0.14
Four-way: +1.2%
Dead-end: −6.4%
Intersection density: +82
Median segment length: −2
Network length: +9.5

What walking adds

Walk-only length: 9.5 km
Share of walking network: 18.8%

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 — Gapuk Utara

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°	3.01%	3.21%	0.1054	0.1104
01	5°–15°	10.62%	10.16%	0.2381	0.2324
02	15°–25°	4.14%	4.38%	0.1318	0.1370
03	25°–35°	1.44%	1.35%	0.0611	0.0581
04	35°–45°	0.70%	0.60%	0.0346	0.0309
05	45°–55°	0.38%	0.39%	0.0213	0.0216
06	55°–65°	1.03%	0.89%	0.0470	0.0419
07	65°–75°	1.79%	1.76%	0.0722	0.0710
08	75°–85°	1.30%	1.32%	0.0566	0.0571
09	85°–95°	2.99%	3.15%	0.1050	0.1090
10	95°–105°	13.55%	12.84%	0.2708	0.2636
11	105°–115°	4.17%	4.92%	0.1325	0.1481
12	115°–125°	1.70%	1.60%	0.0692	0.0661
13	125°–135°	0.82%	0.72%	0.0396	0.0354
14	135°–145°	0.43%	0.38%	0.0234	0.0212
15	145°–155°	0.41%	0.36%	0.0227	0.0202
16	155°–165°	0.55%	0.70%	0.0285	0.0346
17	165°–175°	0.96%	1.28%	0.0447	0.0558
18	175°–185°	3.01%	3.21%	0.1054	0.1104
19	185°–195°	10.62%	10.16%	0.2381	0.2324
20	195°–205°	4.14%	4.38%	0.1318	0.1370
21	205°–215°	1.44%	1.35%	0.0611	0.0581
22	215°–225°	0.70%	0.60%	0.0346	0.0309
23	225°–235°	0.38%	0.39%	0.0213	0.0216
24	235°–245°	1.03%	0.89%	0.0470	0.0419
25	245°–255°	1.79%	1.76%	0.0722	0.0710
26	255°–265°	1.30%	1.32%	0.0566	0.0571
27	265°–275°	2.99%	3.15%	0.1050	0.1090
28	275°–285°	13.55%	12.84%	0.2708	0.2636
29	285°–295°	4.17%	4.92%	0.1325	0.1481
30	295°–305°	1.70%	1.60%	0.0692	0.0661
31	305°–315°	0.82%	0.72%	0.0396	0.0354
32	315°–325°	0.43%	0.38%	0.0234	0.0212
33	325°–335°	0.41%	0.36%	0.0227	0.0202
34	335°–345°	0.55%	0.70%	0.0285	0.0346
35	345°–355°	0.96%	1.28%	0.0447	0.0558
Sum = H				3.009	3.029

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.