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Germany
Thuringia

Mathematics Trail Jena – Station 14: River Width and Mountain Height Measurement

Discover
Places to see
Germany
Thuringia

Mathematics Trail Jena – Station 14: River Width and Mountain Height Measurement

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Mathematics Trail Jena – Station 14: River Width and Mountain Height Measurement

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    Location: Thuringia, Germany

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    September 5, 2025

    Hiking

    Along a circular route through Jena, 15 stations and a central point invite visitors to experience mathematics in public spaces. Under the motto "Numbers and Figures," vivid topics such as number sequences, geometric shapes, and classical theorems of number theory are presented in an understandable and fun way.

    The following mathematical topics are covered at this station:
    Station 14: River width and mountain height measurement
    - Four applications of mathematics in nature
    - Similarity in dividing figures into 1 to 5 parts
    - Series problems


    Click here for an overview of all individual stations and their mathematical content: rundwegzurmathematikinjena.de/uebersicht
    Translated by

    June 25, 2024

    Hiking

    Similarity

    Kunitz Hausbrücke

    An der Mühle 48, Kunitz

    Triangle theory provides answers to many questions and often uses the perhaps most proven "Pythagorean theorem". The similarity of triangles plays a decisive role there. But other so-called similarity decompositions are also known, with those with small numbers appearing particularly interesting. Some remarkable figures are shown here.
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    Best Hikes to Mathematics Trail Jena – Station 14: River Width and Mountain Height Measurement

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    1. View of Kunitz and Kunitzburg – View of Kunitzburg loop from Jena-Zwätzen

    11.5km

    03:02

    100m

    100m

    Moderate hike. Good fitness required. Easily-accessible paths. Suitable for all skill levels.

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    Moderate

    Moderate hike. Good fitness required. Easily-accessible paths. Suitable for all skill levels.

    Moderate

    Moderate hike. Good fitness required. Mostly accessible paths. Sure-footedness required.

    Moderate

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    Elevation 150 m

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    Wednesday 28 January

    -1°C

    -3°C

    95 %

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    Max wind speed: 15.0 km/h

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    Location: Thuringia, Germany

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