Zurich’s military geographers at the Mathematical-Military Society

Image caption: From the Zurich border atlas of 1795, drawn by Hans Caspar Hirzel: the ‘General Grenz Carte von dem Zürich Gebiet (‘General border map of the Zurich area’) and detail from the atlas. (Image: ZB Zürich)

In 1765, 10 officers from Zurich founded a society for the joint study of foundational technical and mathematical subjects – including improved military cartography. This Mathematical-Military Society (Mathematisch-Militärische Gesellschaft) visited a section of Zurich’s border each year in order to study its military geography. As a result, the border region was thoroughly re-surveyed between 1787 and 1792. The volunteers’ (!) work was carried out under the supervision of the (military) engineer  Johannes Feer (1763–1823), who had trained abroad.

A handwritten nine-page border atlas was created in 1795 by society member and cartographer Hans Caspar Hirzel (around 1774–1818). It also includes a 20-page list of landmarks. Considering the small number of people involved, the result is astonishing. Duplicating the map was forbidden for reasons of confidentiality.

Simulation games on the ‘Siegfried map’

On the left, a partial overview of a page of the ‘Siegfried map’, published in 1870–1949 by the Federal Staff Office; on the right, the map page showing Zurich. The Swiss Army published the topographical map, and it was primarily used for national defence purposes. (Image: ZB Zürich)

The Swiss Federal Staff Office published the ‘Topographische Atlas der Schweiz’ (‘Topographic Atlas of Switzerland’, also known as the ‘Siegfried map’) from the 1870s onwards. Suddenly, large-scale maps of the whole of Switzerland were available to the general public. This made the Mathematical-Military Society’s secret cartographic archive surplus to requirements. In 1882, it was donated to the non-military ‘Kartenverein’ (‘map association’), adding a hefty 379 maps to the club’s collection. The map association was dissolved 12 years later and the maps were transferred to the Stadtbibliothek, a predecessor of what is now the Zentralbibliothek Zürich.

In the winter months, officers in Zurich and Winterthur occupied themselves with the ‘war game’ – a term simply unimaginable today – in which staff officers played simulation games on maps as part of their tactical training. Initially, sheets of the ‘Siegfried map’, glued together, were used for this.

Bigger, more sculptural, more colourful: Captain Andreas Hefti’s simulation game maps

There was an issue with these officers’ simulation games, though: the scale of 1:25.000 made it difficult for bystanders to recognise details and names from a distance. To resolve this, Captain Andreas Hefti (1862–1931) created the enlarged and exceptionally beautiful 1:10,000 relief maps of the canton of Zurich based on the Siegfried map from 1895 onwards, as Arthur Dürst explains. Thanks to the new shading of the terrain, it was possible to visually identify the topography, which was important for the course of the manoeuvre, from a distance.

We can imagine how the men gathered around the maps laid out on the tavern floor, engaging in lively discussions. Mind you, the combined map took up about 15 square meters. On closer inspection, you might even be able to spot a small red wine stain here and there.

Of the original 28 hand-drawn sheets, 24 were preserved in good condition over the century or so during which the map was in private possession. Hefti’s ‘war game maps’ have been held in the Zentralbibliothek Zurich’s map collection since 2017.

Looking beyond the national borders – South Africa as a theatre of war

The battleground of the Second Boer War in South Africa on a map from 1900. This is also the work of Captain Andreas Hefti. (Image: ZB Zürich)

Zurich-based officers also cast their gaze abroad, with the aim of broadening their tactical horizons. While the Second Boer War (1899–1902) raged in South Africa, this was followed with great interest in Europe. In many ways, this conflict accelerated the transition from traditional warfare techniques to modern approaches. In addition, deliveries of German arms to the Boers led to geopolitical tensions between the German Empire and the British Empire, which in turn revealed its imperialist ambitions in Africa.

To provide an overview of the situation, Captain Hefti compiled a large map, which was published in Zurich in 1900 (with an ancillary map of Switzerland as a reference). The copy in the Zentralbibliothek still bears the author’s handwritten dedication to Commander Hermann Bleuler dated 20 November 1900.

The clearness of the topological relief was of particular importance for understanding the course of the war, with the experience gained from Swiss mountain cartography – a skill valued around the world – put to good use here.

Military maps of Zurich from earlier times

However, the discipline of military cartography in Zurich did not begin in 1765 with the founding of the Mathematical-Military Society: it was already more than a century old by that point. From 1644 to 1660, Hans Conrad Gyger (1599–1674) produced 10 maps of the Zurich countryside under the impact of the Thirty Years’ War, with the troop assembly sites and their recruitment areas marked. At the same time, he spent more than three decades working on a large hand-painted relief map of the Zurich area. This masterly sculptural representation of the terrain could not be published for a long time due to military secrecy requirements.

Both maps are held by the State Archives. Handwritten copies of these military quarter maps and the cantonal map, dated a few decades later, have been preserved at the Zentralbibliothek. Most of them are by other key cartographers, such as Johannes Müller (1733–1816), who in turn is responsible for key milestones in the history of surveying.

A map from Zurich for a Swedish general

The Lake Constance region, drawn by hand by the Zurich cartographer Hans Conrad Gyger. (Image: ZB Zürich)

Hans Conrad Gyger did not only map the area around Zurich: before the Mathematical-Military Society existed, he also created a map of the Lake Constance region. Unlike Hefti’s military map of South Africa, however, the Lake Constance map did serve as an aid in the war. Gyger created it – with the blessing of the Zurich authorities – during the Thirty Years’ War for the Swedish General Count Gustav Horn (1592–1657). The map has an approximate scale of 1:50.000 and the cartographer completed work on it in 1633, as the Zurich-based cartographic historian Samuel Wyder discovered.

General Horn passed through the Common Lordship of Thurgau and besieged the city of Constance from the Swiss side. His army plundered the castles at Neuhorn and Romanshorn and partly destroyed them. Winterthur supported the campaign by providing food and black gunpowder. Gyger’s map of Lake Constance survived the campaign and entered the Zentralbibliothek Zürich’s map collection from private Swedish possession 20 or so years ago.


Dr. Jost Schmid-Lanter, Head of Map Departement
July 2024


Header image: Excerpt from a war game map by Captain Andreas Hefti, 1895/96. (ZB Zürich)