Images of Great 2-spheres

Stephen Leon Lipscomb
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Stephen Leon Lipscomb: University of Mary Washington

Chapter Chapter 11 in Art Meets Mathematics in the Fourth Dimension, 2014, pp 109-119 from Springer

Abstract: Abstract The hyper-sphere “ ( x − 1 ∕ 4 ) 2 + ( y − 1 ∕ 4 ) 2 + ( z − 1 ∕ 4 ) 2 + ( w − 1 ∕ 4 ) 2 = ( . 4 ) 2 $$(x - 1/4)^{2} + (y - 1/4)^{2} + (z - 1/4)^{2} + (w - 1/4)^{2} = (.4)^{2}$$ ” and its four great 2-spheres obtained by respectively setting x = 1 ∕ 4 $$x = 1/4$$ , y = 1 ∕ 4 $$y = 1/4$$ , z = 1 ∕ 4 $$z = 1/4$$ , and w = 1 ∕ 4 $$w = 1/4$$ were studied extensively in Chapter 10.

Keywords: Right-side Graph; Topological Representation; Topological Image; Jeffrey Weeks; Unit Hyper Sphere (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06254-9_11

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DOI: 10.1007/978-3-319-06254-9_11

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