File number HP-002 · S-01
Version E.1
Status: active
Derivation of the measurements
How the octagon side of 222.0 m is composed of frontage, alley and corner clearance. The side itself is a stipulation — see H-13 in the register of obstacles.
222.0 m = 3 × 54.0 + 2 × 8.0 + 2 × 22.0
Three courtyard frontages, two alleys, two corner clearances. The side works out exactly — no remainder, no rounding.
Composition — courtyard and side
| Courtyard frontage 54.0 m | The frontage of a courtyard plot along the octagon side. Three courtyards per side, 24 in the ring. Behind it the quadrangle 54 × 29 m with the residential wing in three parts — see sheet 3. |
| Alley 8.0 m | The lane between two neighbouring courtyards on the same side. Two per side. The overlap check keeps it exactly clear. |
| Corner clearance 22.0 m | Distance from the outer courtyard to the octagon corner. The minimum follows from the depth of the band: the plots reach 52.0 m under the side line; at the 135° corner that requires 52.0 × tan 22.5° = 21.5 m. Set at 22.0 — reserve 0.5 m. |
Derived measurements
| Apothem 268.0 m | 111 × (1 + √2) = 268.0 m, carried rounded as 268.0. |
| Circumradius 290.1 m | Side midpoint to corner via the circumradius: 111 ÷ sin 22.5°. |
| Across-flats width 536.0 m | Twice the apothem — the width of the precinct from side line to side line. |
| Area 23.80 ha | 2 × (1 + √2) × 222² = 237,964 m². Of that, 172,595 m² = 17.26 ha (72.5 %) is arable. |
Alongside, not before
| About 500 cubits | The side of 222 m corresponds to about 500 cubits of 44.4 cm. This correspondence stands alongside and is not kept as a derivation. An earlier derivation from the cubit has been discarded and is not carried forward; where the side actually comes from is recorded as H-13 in the register of obstacles. |
Note: this sheet is constructed from the survey (bau/vermessung.mjs, version E.1). Every figure on the sheet comes from that single source.