Hofstadter Triangle

For a Nonzero Real Number and a Triangle , swing Line Segment about the vertex towards vertex through an Angle . Call the line along the rotated segment .Construct a second line by rotating Line Segment about vertex through an Angle .Now denote the point of intersection of and by . Similarly, construct and . The Triangle having these points as vertices is called the Hofstadter -triangle. Kimberling (1994) showed thatthe Hofstadter triangle is perspective to , and calls Perspective Center the Hofstadter Point.

References

Kimberling, C. ``Hofstadter Points.'' Nieuw Arch. Wiskunde 12, 109-114, 1994.

Kimberling, C. ``Hofstadter Points.''http://cedar.evansville.edu/~ck6/tcenters/recent/hofstad.html.

• Conic Equidistant Projection
• Conic Projection
• Conic Section
• Conic Section Tangent
• Conjecture
• Conjugacy Class
• Conjugate Element
• Conjugate Gradient Method
• Conjugate Points
• Conjugate Subgroup
• Conjugation
• Conjunction
• Connected Graph
• Connected Set
• Connected Space
• Connected Sum
• Connected Sum Decomposition
• Connection
• Connection Coefficient
• Connectivity
• Connes Function
• Conocuneus of Wallis
• Conoid
• Consecutive Number Sequences
• Conservation of Number Principle