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LetM    n    (  θ  )   be the configuration space of    n   -tuples of unit vectors inR    3such that all interior angles are    θ   . The spaceM    n    (  θ  )   is an   (  n  -  3  )  -dimensional space. This paper determines the topological type ofM    n    (  θ  )   for   n  =  3  ,    4   , and    5   .

chinese journal of mathematics

The Configuration Space of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>-Tuples of Equiangular Unit Vectors for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn fontstyle="italic">3</mml:mn></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:mn fontstyle="italic">4</mml:mn></mml:mrow></mml:math>, and <mml:math xmlns:mml="http…

The Configuration Space of n-Tuples of Equiangular Unit Vectors for n=3, 4, and