Mercator Projection and Polycylindric Projection - Map Projections: Cartographic Information Systems - page 819

Fig. I.3. UPC, geographic region of Indonesia, strip [95 ◦ <Λ< 145 ◦ ] 12 ◦ <Φ< +8 ◦ ]andstripwidth × [ −

Φ S =2 ΔΦ =6 ◦ , the zones 0 ,

Φ N − ± 1 , − 2

For regions with a East-West extension around the equator,
the universal Mercator projection is Airy optimal. In con-
trast, the universal transverse Mercator projection is Airy
optimal if the region extends North-South. The oblique
Mercator projection is Airy optimal for an oblique exten-
sion of a region. The analogue statement holds for the Uni-
versal Polycylindric Projection (UPS), the Universal Trans-
verse Polycylindric Projection (UTPC), and the Oblique
Polycylindric Projection (OPC).

Fig. I.4. Airy optimal UPC, WGS 84, zone 0: variation of the radius of the left Tissot circle, the left principal
stretches Λ 1 = Λ 2 = Λ S ( Φ 0 =0 ,Φ ; ρ 0 )