Pyramid 561
Preview $$U_{561}(x, y) = \frac{\sqrt{\frac{4 x}{\left(1 - y\right)^{3}} + \frac{1}{\left(1 - y\right)^{2}}}}{2} + \frac{1}{2 - 2 y}$$
Pyramid 562
Preview $$U_{562}(x, y) = \frac{x}{\left(1 - y\right)^{3}} + \frac{1}{1 - y}$$
Pyramid 563
Preview $$U_{563}(x, y) = - \frac{1}{\left(1 - y\right) \left(\frac{x}{\left(1 - y\right)^{3}} - 1\right)}$$
Pyramid 564
Preview $$U_{564}(x, y) = \frac{\left(1 - y\right)^{3} \left(1 - \sqrt{- \frac{4 x}{\left(1 - y\right)^{4}} + 1}\right)}{2 x}$$
Pyramid 565
Preview $$U_{565}(x, y) = \frac{1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)}}{3}}{\left(1 - y\right)^{2}}$$
Pyramid 566
Preview $$U_{566}(x, y) = \frac{\sqrt{\frac{4 x}{\left(1 - y\right)^{6}} + \frac{1}{\left(1 - y\right)^{4}}}}{2} + \frac{1}{2 \left(1 - y\right)^{2}}$$
Pyramid 567
Preview $$U_{567}(x, y) = \frac{x}{\left(1 - y\right)^{6}} + \frac{1}{\left(1 - y\right)^{2}}$$
Pyramid 568
Preview $$U_{568}(x, y) = - \frac{1}{\left(1 - y\right)^{2} \left(\frac{x}{\left(1 - y\right)^{6}} - 1\right)}$$
Pyramid 569
Preview $$U_{569}(x, y) = \frac{\left(1 - y\right)^{6} \left(1 - \sqrt{- \frac{4 x}{\left(1 - y\right)^{8}} + 1}\right)}{2 x}$$
Pyramid 570
Preview $$U_{570}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right) \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)}}{3}\right)}{2 y}$$
Pyramid 571
Preview $$U_{571}(x, y) = \frac{\sqrt{\frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{2 y^{3}} + \frac{\left(1 - \sqrt{1 - 4 y}\right)^{2}}{4 y^{2}}}}{2} + \frac{1 - \sqrt{1 - 4 y}}{4 y}$$
Pyramid 572
Preview $$U_{572}(x, y) = \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{8 y^{3}} + \frac{1 - \sqrt{1 - 4 y}}{2 y}$$
Pyramid 573
Preview $$U_{573}(x, y) = \frac{\sqrt{1 - 4 y} - 1}{y \left(\frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{4 y^{3}} - 2\right)}$$
Pyramid 574
Preview $$U_{574}(x, y) = \frac{y^{3} \left(4 - 4 \sqrt{- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{4}}{4 y^{4}} + 1}\right)}{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}$$
Pyramid 575
Preview $$U_{575}(x, y) = \frac{\left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)}}{3}\right) \left(- 2 y - \sqrt{1 - 4 y} + 1\right)}{2 y^{2}}$$
Pyramid 576
Preview $$U_{576}(x, y) = \frac{\sqrt{\frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{2 y^{6}} + \frac{\left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}}}}{2} + \frac{- 2 y - \sqrt{1 - 4 y} + 1}{4 y^{2}}$$
Pyramid 577
Preview $$U_{577}(x, y) = \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{8 y^{6}} + \frac{- 2 y - \sqrt{1 - 4 y} + 1}{2 y^{2}}$$
Pyramid 578
Preview $$U_{578}(x, y) = \frac{2 y + \sqrt{1 - 4 y} - 1}{y^{2} \left(\frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{4 y^{6}} - 2\right)}$$
Pyramid 579
Preview $$U_{579}(x, y) = \frac{y^{6} \left(4 - 4 \sqrt{- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{4}}{4 y^{8}} + 1}\right)}{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}$$
Pyramid 580
Preview $$U_{580}(x, y) = \frac{1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)}}{3}}{\sqrt{1 - 4 y}}$$
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