Mathematics in Early-Modern Landscape Design

Definitions and mathematical statement

The supplied record concerns a historical research agenda rather than a mathematical conjecture. Its subject is the mathematical knowledge associated with early-modern landscape design and gardening, including its codification, communication, practical use, and reciprocal relations with the mathematical sciences. The record does not define the chronological or geographical boundaries of "early-modern," identify a corpus of historical evidence, or delimit the relevant mathematical sciences, instruments, or technologies.

Research question. For early-modern landscape design and gardening, determine:

1. who codified the relevant mathematical knowledge;
2. why that knowledge was communicated and how it was communicated;
3. what roles mathematical sciences, instruments, and technology played in landscape-design and gardening practice; and
4. how that practice, including its use of instruments and technology, fed back into the mathematical sciences.

The intended scope is a comprehensive historical analysis, according to the supplied literature assessment. No mathematical objects, hypotheses, boundary conditions, or quantified proposition are specified from which a precise theorem or conjecture can be formulated. The research question above therefore preserves the supplied target while leaving its historical scope and evidentiary criteria unresolved.

Short English statement

Investigate who organized and communicated mathematical knowledge for early-modern landscape design and gardening, the purposes and methods of that communication, and the reciprocal relationships between practical gardening, mathematical sciences, instruments, and technology. This is a historical research question whose scope requires clarification before a precise mathematical assertion could be stated.

Sources

• Local registry: data/unsolvedmath/problems.json, permanent UnsolvedMath ID $30002307$, title "Mathematics in Early-Modern Landscape Design," source problem code catalogue entry; supplied collection: Oberwolfach Reports Open Problems. The record gives the proposed year as 2013 and names no individual proposer.
• Supplied report citation: From "Mixed" to "Applied" Mathematics: Tracing an important dimension of mathematics and its history (2013), Oberwolfach Reports, pp. 657--733, DOI 10.4171/owr/2013/12. https://doi.org/10.4171/owr/2013/12. This is also the supplied literature source labelled "Oberwolfach Report 12/2013." The record describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions.
• Supplied statement provenance: the record labels the statement "exact" and reports that its mathematical content was checked against the official report, with notation, context, and question form normalized without changing the source-level claim. This verification claim is supplied metadata and has not been independently verified here.
• Supplied literature assessment, checked on 2026-08-21: status "open." The assessment describes communication, mathematical sciences, instruments, and technology in early-modern landscape design as a substantial research agenda and states that the checked literature does not provide the requested comprehensive historical analysis. This is supplied dated curation derived from the OWR record, not an independently verified assessment. The supplied background explicitly calls for independent verification of time-sensitive status and cited claims.