Pyramid 1461
Preview $$U_{1461}(x, y) = \frac{- 2 x \left(y + 1\right)^{2} - \sqrt{- 4 x \left(y + 1\right)^{2} + 1} + 1}{2 x^{2} \left(y + 1\right)}$$
Pyramid 1462
Preview $$U_{1462}(x, y) = \frac{- 2 x \left(y + 1\right)^{3} - \sqrt{- 4 x \left(y + 1\right)^{3} + 1} + 1}{2 x^{2} \left(y + 1\right)^{5}}$$
Pyramid 1463
Preview $$U_{1463}(x, y) = \frac{- 2 x \left(y + 1\right)^{3} - \sqrt{- 4 x \left(y + 1\right)^{3} + 1} + 1}{2 x^{2} \left(y + 1\right)^{4}}$$
Pyramid 1464
Preview $$U_{1464}(x, y) = \frac{\sqrt{3} \left(2 y + 2\right) \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x \left(y + 1\right)}}{2} \right)}}{3} \right)}}{3 \sqrt{x}}$$
Pyramid 1465
Preview $$U_{1465}(x, y) = \frac{2 \sqrt{3} \left(y + 1\right)^{2} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x \left(y + 1\right)}}{2} \right)}}{3} \right)}}{3 \sqrt{x}}$$
Pyramid 1466
Preview $$U_{1466}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x \left(y + 1\right)^{3}}}{2} \right)}}{3} \right)}}{3 \sqrt{x \left(y + 1\right)^{3}}}$$
Pyramid 1467
Preview $$U_{1467}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x \left(y + 1\right)^{3}}}{2} \right)}}{3} \right)}}{3 \sqrt{x \left(y + 1\right)}}$$
Pyramid 1468
Preview $$U_{1468}(x, y) = \frac{\sqrt{3} \left(2 y + 2\right) \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x \left(y + 1\right)^{3}}}{2} \right)}}{3} \right)}}{3 \sqrt{x \left(y + 1\right)}}$$
Pyramid 1469
Preview $$U_{1469}(x, y) = \frac{2 \sqrt{3} \left(y + 1\right)^{2} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x \left(y + 1\right)^{3}}}{2} \right)}}{3} \right)}}{3 \sqrt{x \left(y + 1\right)}}$$
Pyramid 1470
Preview $$U_{1470}(x, y) = \frac{2 \sqrt{3} \left(y + 1\right)^{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 \sqrt{x}}$$
Pyramid 1471
Preview $$U_{1471}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{\frac{x}{\left(1 - y\right)^{2}}}}{2} \right)}}{3} \right)}}{3 \sqrt{x}}$$
Pyramid 1472
Preview $$U_{1472}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{\frac{x}{\left(1 - y\right)^{2}}}}{2} \right)}}{3} \right)}}{3 \sqrt{x} \left(1 - y\right)}$$
Pyramid 1473
Preview $$U_{1473}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{\frac{x}{\left(1 - y\right)^{2}}}}{2} \right)}}{3} \right)}}{3 \sqrt{x} \left(1 - y\right)^{2}}$$
Pyramid 1474
Preview $$U_{1474}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{\frac{x}{\left(1 - y\right)^{3}}}}{2} \right)}}{3} \right)}}{3 \sqrt{\frac{x}{\left(1 - y\right)^{3}}}}$$
Pyramid 1475
Preview $$U_{1475}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{\frac{x}{\left(1 - y\right)^{3}}}}{2} \right)}}{3} \right)}}{3 \sqrt{\frac{x}{1 - y}}}$$
Pyramid 1476
Preview $$U_{1476}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{\frac{x}{\left(1 - y\right)^{3}}}}{2} \right)}}{3} \right)}}{3 \sqrt{\frac{x}{1 - y}} \left(1 - y\right)}$$
Pyramid 1477
Preview $$U_{1477}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{\frac{x}{\left(1 - y\right)^{3}}}}{2} \right)}}{3} \right)}}{3 \sqrt{\frac{x}{1 - y}} \left(1 - y\right)}$$
Pyramid 1478
Preview $$U_{1478}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 \sqrt{x} \left(1 - y\right)^{3}}$$
Pyramid 1479
Preview $$U_{1479}(x, y) = \frac{1}{\left(1 - 4 y\right)^{\frac{3}{2}} \left(- \frac{x}{\left(1 - 4 y\right)^{\frac{3}{2}}} + 1\right)}$$
Pyramid 1480
Preview $$U_{1480}(x, y) = \frac{\frac{x}{\sqrt{1 - 4 y}} + 1}{1 - 4 y}$$
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