Baek, J. "Optimality of Gerver's Sofa." 2024 年 11 月 29 日。https://arxiv.org/abs/2411.19826.Croft, H. T.; Falconer, K. J.; and Guy, R. K. Unsolved Problems in Geometry. New York: Springer-Verlag, 1994.Deng, Z. "Calculus of Variation Approach and Euler-Lagrange Equations for the Moving Sofa Problem." 2024 年 8 月。 https://community.wolfram.com/groups/-/m/t/3234695.Deng, Z. "Solving Moving Sofa Problem Using Calculus of Variations." 2024 年 7 月 2 日。 https://arxiv.org/abs/2407.02587.Finch, S. R. "Moving Sofa Constant." §8.12 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 519-523, 2003.Gerver, J. L. "On Moving a Sofa Around a Corner." Geometriae Dedicata42, 267-283, 1992.Romik, D. "MovingSofas: A Companion Mathematica Package to the Paper "Differential Equations and Exact Solutions in the Moving Sofa Problem."' Package version: 1.3. 2016 年 7 月 10 日。 https://www.math.ucdavis.edu/~romik/data/uploads/software/movingsofas-v1.3.nb.Romik, D. "Differential Equations and Exact Solutions in the Moving Sofa Problem." Exper. Math.27, 316-330, 2018.Romik, D. "Dan Romik's Home Page: The Moving Sofa Problem." https://www.math.ucdavis.edu/~romik/movingsofa/.Sloane, N. J. A. Sequences A086118 and A128463 in "The On-Line Encyclopedia of Integer Sequences."
、
、
和 
透過求解給出
![(A+1/2pi-phi-theta)-[B-1/2(theta-phi)(1+A)-1/4(theta-phi)^2]=0](/images/equations/GerverSofa/Inline8.svg)
![2int_0^(pi/2-phi)y_1(alpha)r(alpha)cosalphadalpha+2int_0^thetay_2(alpha)s(alpha)cosalphadalpha+2int_phi^(pi/4)y_3(alpha)[u(alpha)sinalpha-D_u(alpha)cosalpha-s(alpha)cosalpha]dalpha](/images/equations/GerverSofa/Inline44.svg)
