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 language | English |
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Title of host publication | Proceedings of Bridges 2014 : Mathematics, Music, Art, Architecture, Culture (Seoul, Korea, August 14-19, 2014) |
Editors | G. Greenfield, G. Hart, R. Sarhangi |
Place of Publication | Phoenix AZ |
Publisher | Tessellations Publishing |
Pages | 309-316 |
ISBN (Print) | 978-1-938664-11-3 |
Publication status | Published - 2014 |
Event | Bridges 2014: Mathematics, Music, Art, Architecture, Culture, August 14-19, 2014, Seoul, Korea - Seoul, Korea, Republic of Duration: 14 Aug 2014 → 19 Aug 2014 |
Conference
Conference | Bridges 2014: Mathematics, Music, Art, Architecture, Culture, August 14-19, 2014, Seoul, Korea |
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Country/Territory | Korea, Republic of |
City | Seoul |
Period | 14/08/14 → 19/08/14 |