Pyramid 41
Preview $$U_{41}(x, y) = \frac{x}{2} + \frac{\sqrt{x^{2} + 2 x + 4 y + 1}}{2} + \frac{1}{2}$$
Pyramid 42
Preview $$U_{42}(x, y) = \frac{\left(y + 1\right)^{2}}{- x \left(y + 1\right) + 1}$$
Pyramid 43
Preview $$U_{43}(x, y) = y + \frac{1}{1 - x}$$
Pyramid 44
Preview $$U_{44}(x, y) = \frac{1}{\left(1 - x\right) \left(1 - y\right)}$$
Pyramid 45
Preview $$U_{45}(x, y) = \frac{x y - \sqrt{x^{2} y^{2} - 2 x y - 4 x + 1} + 1}{2 x}$$
Pyramid 46
Preview $$U_{46}(x, y) = \frac{x + \sqrt{x^{2} - 2 x + y \left(4 x - 4\right) + 1} - 1}{y \left(2 x - 2\right)}$$
Pyramid 47
Preview $$U_{47}(x, y) = \frac{y + \sqrt{- 4 x + y^{2} + y \left(4 x - 2\right) + 1} - 1}{2 x \left(y - 1\right)}$$
Pyramid 48
Preview $$U_{48}(x, y) = \frac{x - 1}{y - \left(1 - x\right)^{2}}$$
Pyramid 49
Preview $$U_{49}(x, y) = \frac{x^{2} - 2 x - \sqrt{x^{4} - 4 x^{3} + 6 x^{2} - 4 x + y \left(4 x - 4\right) + 1} + 1}{2 y}$$
Pyramid 50
Preview $$U_{50}(x, y) = x + \frac{1}{1 - y}$$
Pyramid 51
Preview $$U_{51}(x, y) = \frac{x y - \sqrt{x^{2} y^{2} + y \left(- 2 x - 4\right) + 1} + 1}{2 y}$$
Pyramid 52
Preview $$U_{52}(x, y) = \frac{- x + y + 1}{\left(1 - x\right)^{2}}$$
Pyramid 53
Preview $$U_{53}(x, y) = \frac{- \sqrt{4 y + 1} - 1}{2 x - 2}$$
Pyramid 54
Preview $$U_{54}(x, y) = \frac{1 - \sqrt{- 2 x \sqrt{4 y + 1} - 2 x + 1}}{2 x}$$
Pyramid 55
Preview $$U_{55}(x, y) = y + \frac{1}{\left(1 - x\right)^{2}}$$
Pyramid 56
Preview $$U_{56}(x, y) = \frac{1}{\left(1 - x\right)^{2} \left(1 - y\right)}$$
Pyramid 57
Preview $$U_{57}(x, y) = \frac{x + \sqrt{x^{2} - 2 x - 4 y + 1} - 1}{y \left(2 x - 2\right)}$$
Pyramid 58
Preview $$U_{58}(x, y) = y + \left(x + 1\right)^{2}$$
Pyramid 59
Preview $$U_{59}(x, y) = \frac{- x^{2} - 2 x - 1}{y - 1}$$
Pyramid 60
Preview $$U_{60}(x, y) = \frac{- 2 x - \sqrt{- 4 x^{2} y - 4 x + 1} + 1}{2 x^{2}}$$
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