AXM-E0411 - Spatial Structures, Lecture, 4.9.2023-29.11.2023

Topic outline

• General
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  General:
  

  WEEKS, Jeffrey. The Shape of Space [1985]. Boca Ranton: CRC Press, 2020. (https://aalto.finna.fi/Record/alli.921447)

  Lakoff, George., and Rafael E. Nuñez. Where Mathematics Comes from : How the Embodied Mind Brings Mathematics into Being. New York: Basic Books, 2000. (https://primo.aalto.fi/permalink/358AALTO_INST/ngpgq9/alma992705424406526)
  

  
  

  Two-dimensional universes:

  ABBOTT, Edwin A. Flatland: A Romance of Many Dimensions [1884]. New York: Oxford University Press, 2006. (https://aalto.finna.fi/Record/alli.720076)
  

  BURGER, Dionys. Sphereland: A Fantasy About Curved Space and an Expanding Universe. Translated by Cornelie J. Rehinboldt. New York: Thomas Y. Crowell Company, 1965.

  DEWDNEY, A. K. “Exploring the Planiverse.” Journal of Recreational Mathematics 12, no. 1 (Sept 1979): 16–20.

  DEWDNEY, A. K. The Planiverse: Computer Contact with a Two-dimensional World [1984]. New York: Copernicus, 2000. (https://finna.fi/Record/helka.2881872)
  

  RUCKER, Rudy. “Message Found in a Copy of Flatland.” In The 57th Franz Kafka, by Rudy Rucker, 224–234. New York: Ace Books, 1983.
  

  RUCKER, Rudy. Spaceland. New York: Tom Doherty Associates, LLC, 2002. (https://aalto.finna.fi/Record/alli.724946)

  STEWARD, Ian. Flatterland. New York: Basic Books, 2001.
  

  
  

  
  

  Topology:
  

  FRANCIS, George K. A Topological Picturebook [1987]. New York: Springer, 2007. (https://aalto.finna.fi/Record/alli.622718)
  

  
  

  Perspective:
  

  
  

  EDGERTON, Samuel Y (1976). The Renaissance Rediscovery of Linear Perspective, New York:
  Harper & Row.
  

  
  

  
  

  Projective geometry:
  
  COXETER, H.M.S. (1949). The Real Projective Plane. New York: McGraw–Hill Book Company, Inc.

  (https://aalto.finna.fi/Record/alli.164567)
  

  
  DORWART, Harold (1966). The Geometry of Incidence. New Jersey: Prentice–Hall, Inc.
  
  EDWARDS, Lawrence (2003). Projective Geometry. Edinborough: Floris Books.

  (https://aalto.finna.fi/Record/alli.724941)
  

  
  HILBERT, David and COHN-VOSSEN, Stephan (1990). Geometry and the Imagination [1932]. Chelsea Publishing Company.

  (https://aalto.finna.fi/Record/alli.724944)

  
  

  LOCHER-ERNST, Louis (2003). Space and Counterspace – An Introduction to Modern Geometry. Fair Oaks, CA: AWSNA Publications. (https://archive.org/details/SpaceCounterspace)
  
  VEBLEN, Oswald & YOUNG, John (1946). Projective Geometry, Vol I–II. New York: Blaisdell Publishing.
  

  
  

  
  

  Four-dimensional space:

  
  

  HENDERSON, Linda (2013). The fourth dimension and non-Euclidean geometry in modern art. Rev. ed. Cambridge, Mass. ; London: MIT Press.

  (https://aalto.finna.fi/Record/alli.691320)

  
  

  LUOTONIEMI, Taneli (2019). Hyperspatial Interlace - Grasping Four-dimensional Geometry Through Crafted Models. Aalto ARTS books. (https://aaltodoc.aalto.fi/handle/123456789/37574)
  

  
  

  RUCKER, Rudy (2002). Spaceland. New York: Tom Doherty Associates, LLC.

  (https://aalto.finna.fi/Record/alli.724946)

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