Borwein, J. 和 Bailey, D. Mathematics by Experiment: Plausible Reasoning in the 21st Century. Wellesley, MA: A K Peters, pp. 86-87, 2003.Costa, A. "Examples of a Complete Minimal Immersion in of Genus One and Three Embedded Ends." Bil. Soc. Bras. Mat.15, 47-54, 1984.do Carmo, M. P. Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, p. 43, 1986. Ferguson, H.; Gray, A.; 和 Markvorsen, S. "Costa's Minimal Surface via Mathematica." Mathematica in Educ. Res.5, 5-10, 1996. http://library.wolfram.com/infocenter/Articles/2736/.Ferguson, H.; Ferguson, C.; Nemeth, T.; Schwalbe, D.; 和 Wagon, S. "Invisible Handshake." Math. Intell.21, 30-35, 1999.GRAPE. "Costa's Surface (Celsoe Costa)." http://www-sfb256.iam.uni-bonn.de/grape/EXAMPLES/AMANDUS/costa.html.Gray, A. "Costa's Minimal Surface." §32.5 in Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, pp. 747-757, 1997.Hoffman, D. 和 Meeks, W. H. III. "A Complete Embedded Minimal Surfaces in with Genus One and Three Ends." J. Diff. Geom.21, 109-127, 1985.Nordstrand, T. "Costa-Hoffman-Meeks Minimal Surface." http://jalape.no/math/costatxt.Osserman, R. A Survey of Minimal Surfaces. New York: Dover, pp. 149-150, 1986.Peterson, I. "Three Bites in a Doughnut: Computer-Generated Pictures Contribute to the Discovery of a New Minimal Surface." Sci. News127, 161-176, 1985.Peterson, I. "The Song in the Stone: Developing the Art of Telecarving a Minimal Surface." Sci. News149, 110-111, Feb. 17, 1996.Ramos Batista, V. "The Doubly Periodic Costa Surfaces." Math. Z.240, 549-577, 2002.Ramos Batista, V. "A Family of Triply Periodic Costa Surfaces." Pacific J. Math.212, 347-370, 2003.Ramos Batista, V. "Singly Periodic Costa Surfaces." J. London Math. Soc.72, 478-496, 2005.Schwalbe, D. 和 Wagon, S. "The Costa Surface, in Show and Mathematica." Mathematica in Educ. Res.8, 56-63, 1999.Sloane, N. J. A. Sequences A133747 and A133748 in "The On-Line Encyclopedia of Integer Sequences."Wagon, S. "Snow Sculpting with Mathematics." Jan 25, 1999. http://stanwagon.com/snow/breck1999.Wagon, S. "Invisible Handshake." http://stanwagon.com/wagon/Misc/invisiblehandshake.html., Inc. "3-D Zoetrope at SIGGRAPH 2000." http://www.wolfram.com/news/zoetrope.html.
中沒有自相交的完備極小可嵌入曲面是平面（虧格 0）、懸鏈面（虧格 0，有兩個穿孔）和螺旋麵（虧格 0，有兩個穿孔），並且人們曾推測這些是唯一的此類曲面。
二面體對稱群。
![1/2R{-zeta(u+iv)+piu+(pi^2)/(4e_1)+pi/(2e_1)[zeta(u+iv-1/2)-zeta(u+iv-1/2i)]}](/images/equations/CostaMinimalSurface/Inline5.svg)
![1/2R{-izeta(u+iv)+piv+(pi^2)/(4e_1)-pi/(2e_1)[izeta(u+iv-1/2)-izeta(u+iv-1/2i)]}](/images/equations/CostaMinimalSurface/Inline8.svg)
是 Weierstrass zeta 函式，
是 Weierstrass 橢圓函式，其中 
(OEIS A133747)，不變數對應於半週期 1/2 和 
，第一個根為
是 Weierstrass 橢圓函式。
of Genus One and Three Embedded Ends." Bil. Soc. Bras. Mat. 15, 47-54, 1984.do Carmo, M. P. 
Ferguson, H.; Gray, A.; 和 Markvorsen, S. "Costa's Minimal Surface via Mathematica." Mathematica in Educ. Res. 5, 5-10, 1996. 
with Genus One and Three Ends." J. Diff. Geom. 21, 109-127, 1985.Nordstrand, T. "Costa-Hoffman-Meeks Minimal Surface."