Kampung Code

Yogyakarta · Kampung kota

A terraced kampung on the bank of the Code, where much of the network is steps.

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 3.141 · φ 0.36

Orientation entropy: 3.141nat
H / H max: 0.876
φ orientation-order: 0.363
Circuity: 1.451~403
Average node degree: 2.42
Four-way: 6.7%
Dead-end: 24.9%
Intersection density: 190 /km²
Median segment length: 31 m
Network length: 36.2 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. 403 pairs sampled · 87 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: 638
Edges: 772
Intersections (degree ≥ 3): 382
Disc area: 2.01 km²
Intersection density: 190 /km²
Rose weighted length: 72.4 km
Per-edge circuity: 1.038

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 3.094 · φ 0.40

Orientation entropy: 3.094nat
H / H max: 0.863
φ orientation-order: 0.396
Circuity: 1.400~440
Average node degree: 2.53
Four-way: 14.9%
Dead-end: 24.2%
Intersection density: 326 /km²
Median segment length: 23 m
Network length: 52.8 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. 440 pairs sampled · 54 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: 1061
Edges: 1342
Intersections (degree ≥ 3): 655
Disc area: 2.01 km²
Intersection density: 326 /km²
Rose weighted length: 105.7 km
Per-edge circuity: 1.047

Both roses overlaid

Drive H 3.141 · φ 0.36Walk H 3.094 · φ 0.40

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: −0.046
H / H max: −0.013
φ orientation-order: +0.033
Circuity: −0.052
Average node degree: +0.11
Four-way: +8.2%
Dead-end: −0.7%
Intersection density: +136
Median segment length: −8
Network length: +16.7

What walking adds

Walk-only length: 16.7 km
Share of walking network: 31.6%

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 — Kampung Code

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°	4.67%	5.32%	0.1431	0.1561
01	5°–15°	8.92%	9.64%	0.2156	0.2255
02	15°–25°	1.86%	1.73%	0.0741	0.0701
03	25°–35°	0.65%	0.71%	0.0328	0.0351
04	35°–45°	0.52%	0.61%	0.0273	0.0310
05	45°–55°	1.83%	1.60%	0.0733	0.0661
06	55°–65°	1.34%	1.06%	0.0579	0.0483
07	65°–75°	2.82%	2.16%	0.1007	0.0828
08	75°–85°	3.22%	2.98%	0.1106	0.1048
09	85°–95°	11.16%	12.01%	0.2447	0.2546
10	95°–105°	5.10%	4.63%	0.1519	0.1423
11	105°–115°	2.90%	2.21%	0.1028	0.0844
12	115°–125°	0.68%	0.68%	0.0341	0.0340
13	125°–135°	0.67%	0.54%	0.0336	0.0284
14	135°–145°	0.70%	0.67%	0.0348	0.0335
15	145°–155°	0.46%	0.49%	0.0250	0.0259
16	155°–165°	1.47%	1.59%	0.0622	0.0658
17	165°–175°	1.00%	1.36%	0.0459	0.0584
18	175°–185°	4.67%	5.32%	0.1431	0.1561
19	185°–195°	8.92%	9.64%	0.2156	0.2255
20	195°–205°	1.86%	1.73%	0.0741	0.0701
21	205°–215°	0.65%	0.71%	0.0328	0.0351
22	215°–225°	0.52%	0.61%	0.0273	0.0310
23	225°–235°	1.83%	1.60%	0.0733	0.0661
24	235°–245°	1.34%	1.06%	0.0579	0.0483
25	245°–255°	2.82%	2.16%	0.1007	0.0828
26	255°–265°	3.22%	2.98%	0.1106	0.1048
27	265°–275°	11.16%	12.01%	0.2447	0.2546
28	275°–285°	5.10%	4.63%	0.1519	0.1423
29	285°–295°	2.90%	2.21%	0.1028	0.0844
30	295°–305°	0.68%	0.68%	0.0341	0.0340
31	305°–315°	0.67%	0.54%	0.0336	0.0284
32	315°–325°	0.70%	0.67%	0.0348	0.0335
33	325°–335°	0.46%	0.49%	0.0250	0.0259
34	335°–345°	1.47%	1.59%	0.0622	0.0658
35	345°–355°	1.00%	1.36%	0.0459	0.0584
Sum = H				3.141	3.094

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.