Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU,...

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Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden http://www.lpal.slu.se/personal/carolineh.htm Nature Nature Nature Nature Nature Nature Nature Nature Nature Nature Natur Natur e Nature Nature Nature Nature Nature Nature Natur Natur e Natur Natur e Natur Natur e Natur Natur e Natur Natur e Natur Natur e Natur Natur e Natur Natur e Natur Natur e

Transcript of Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU,...

Page 1: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .

Fractal dimension as a tool for defining and measuring naturalness

Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden

http://www.lpal.slu.se/personal/carolineh.htm

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Page 2: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .

What constitutes the naturalness?

What is it in nature that makes attending to it effortless?

Page 3: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .

Frank Gehry's model for the New Guggenheim Museum, New YorkGehry, Model for the Guggenheim Museum Gaudi, La Sagrada Familia

Page 4: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .
Page 5: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .

Jason Pollock painting

Natural fractal pattern

Sierpinski triangle

Elliot wave fractal

Page 6: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .

Koch curve D 1,26 Coast of Norway D 1,5

Page 7: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .

Hagerhall, C. M., Purcell, T. & Taylor, R. (2004). Fractal Dimension of Landscape Silhouette Outlines as a Predictor of Landscape Preference. Journal of Environmental Psychology. 24, 247-255.

Page 8: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .
Page 9: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .
Page 10: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .
Page 11: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .
Page 12: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .

Naturalness judgements are less affected by subjects´ background

Consensus for a fractal dimension around 1.3 as most natural, and most preferred

Waves and clouds have a dimension of 1.3

Fractal scenes with a dimension 1.3 - 1.5 have shown a damping effect on stress.

Page 13: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .

Can fractal properties help define general concepts like complexity and coherence?

Can fractal properties, like self similarity between scales, explain why attending to natural environments is effortless?

Page 14: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .

The fractal dimension 1.3 is of particular importance to perceived naturalness.

….and possibly also to positive psychological and physiological responses?

Page 15: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .

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Page 16: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .
Page 17: Fractal dimension as a tool for defining and measuring naturalness Dr. Caroline Hagerhall, SLU, Department of Landscape Planning Alnarp, Sweden .