He already had the technology as he had patented, in France in 1863, a system of toothed racks set between the railway tracks interlocking with cogwheels fitted under the locomotives.
Jointly, with fellow engineers Olivier Zschokke and Adolf Naef, he submitted an application to the canton of Lucerne for permission to build a line from Vitznau to Rigi Staffelhöhe, a point somewhat below the summit of Rigi, but the nearest point to the summit within that canton.
The cantonal administration already knew of the success of the Mount Washington Railway and saw the advantages in this construction, granting permission on 9 June 1869.
The construction itself began in the following September, the limited liability company, which had offered 1250 shares was greatly over-subscribed on the first day of issue.
[3] Riggenbach, never noted for missing an opportunity, drove the first train to the upper terminus at Rigi Staffelhöhe.
The summit of Mount Rigi is situated in the canton of Schwyz, along with the northern slopes of the mountain and the town of Arth on Lake Zug below.
The mountain section from Goldau to Rigi Kulm, only operated in the summer until 1928, had the power switched on the following year, making this the first standard gauge rack and pinion railway in the country to convert to electric traction.
This line, which includes a 70-metre (230 ft) tunnel and several bridges, now serves as a panoramic footpath and in winter is also used for cross country skiing.
It was not until 1 January 1959, when the section of the Arth–Rigi line between Arth, on Lake Zug, and Arth-Goldau station was replaced by a bus service, that the second closure took place.
In 1967 the Swiss government granted an operating licence for an aerial cableway to run from near the shores of Lake Lucerne to a point near the summit of Mount Rigi.
The construction period was short, a mere eleven months saw the new aerial cableway completed and the opening took place on 15 July 1968.
The technical installations were the work of K. Garaventa & Sons of Goldau, and the large cabins were supplied by the Carrosseriewerke Company of Aarburg.
The Vitznau–Rigi railway commences from a terminal station in the centre of Vitznau, and adjacent to the landing stage served by the Schifffahrtsgesellschaft des Vierwaldstättersees.
The public square between the station and landing stage is largely occupied by a turntable used by the railway to access its lakeside depot.
[6] On the Arth section class BDhe 2/4 railcars, built by SLM / SAAS and numbered 11 and 12 arrived in 1949, being joined by No.13 in 1954 and No.14 in 1967.
[7] Working with yellow liveried coach, class B2, No.35, built in 1899, this forms the Rigi Pullman train.
There are upholstered seats for passengers who like comfort, wooden benches for the more hardy and a standing bar for those who can remain steady on their feet.