Lobke, and other constructions from conical segments

T. Verhoeff, K. Verhoeff

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    Abstract

    Lobke is a mathematical sculpture designed and constructed by Koos Verhoeff, using conical segments. We analyze its construction and describe a generalization, similar in overall structure but with a varying number of lobes. Next, we investigate a further generalization, where conical segments are connected in different ways to construct a closed strip. We extend 3D turtle geometry with a command to generate strips of connected conical segments, and present a number of interesting shapes based on congruent conical segments. Finally, we show how this relates to the skew miter joints and regular constant-torsion 3D polygons that we studied earlier.
    Original languageEnglish
    Title of host publicationProceedings of Bridges 2014 : Mathematics, Music, Art, Architecture, Culture (Seoul, Korea, August 14-19, 2014)
    EditorsG. Greenfield, G. Hart, R. Sarhangi
    Place of PublicationPhoenix AZ
    PublisherTessellations Publishing
    Pages309-316
    ISBN (Print)978-1-938664-11-3
    Publication statusPublished - 2014
    EventBridges 2014: Mathematics, Music, Art, Architecture, Culture, August 14-19, 2014, Seoul, Korea - Seoul, Korea, Republic of
    Duration: 14 Aug 201419 Aug 2014

    Conference

    ConferenceBridges 2014: Mathematics, Music, Art, Architecture, Culture, August 14-19, 2014, Seoul, Korea
    Country/TerritoryKorea, Republic of
    CitySeoul
    Period14/08/1419/08/14

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