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Pyramid 621
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$$U_{621}(x, y) = x - \frac{\sqrt{4 x \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right) + \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right)^{2}}}{2} - \frac{2 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3} + \frac{1}{2}$$
Pyramid 622
Preview
$$U_{622}(x, y) = \frac{\left(1 - \frac{4 \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right) \left(- 2 x - \sqrt{1 - 4 x} + 1\right)}{2 x^{2}}$$
Pyramid 623
Preview
$$U_{623}(x, y) = \frac{x^{2} + 2 x \left(1 - \frac{4 \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right) + \left(1 - \frac{4 \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right)^{2}}{1 - \frac{4 \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}}$$
Pyramid 624
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$$U_{624}(x, y) = 2 x - \sqrt{4 x^{2} + \left(y + 1\right)^{2}}$$
Pyramid 625
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$$U_{625}(x, y) = 2 x + \sqrt{4 x^{2} + \left(y + 1\right)^{2}}$$
Pyramid 626
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$$U_{626}(x, y) = 2 x + \sqrt{4 x^{2} + \left(y + 1\right)^{4}}$$
Pyramid 627
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$$U_{627}(x, y) = 2 x - \sqrt{4 x^{2} + \left(y + 1\right)^{4}}$$
Pyramid 628
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$$U_{628}(x, y) = 2 x + \sqrt{4 x^{2} + \frac{1}{\left(1 - y\right)^{2}}}$$
Pyramid 629
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$$U_{629}(x, y) = 2 x - \sqrt{4 x^{2} + \frac{1}{\left(1 - y\right)^{2}}}$$
Pyramid 630
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$$U_{630}(x, y) = 2 x + \sqrt{4 x^{2} + \frac{1}{\left(1 - y\right)^{4}}}$$
Pyramid 631
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$$U_{631}(x, y) = 2 x - \sqrt{4 x^{2} + \frac{1}{\left(1 - y\right)^{4}}}$$
Pyramid 632
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$$U_{632}(x, y) = \frac{1 - \sqrt{1 - 4 y}}{2 y \sqrt{1 - 4 x}}$$
Pyramid 633
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$$U_{633}(x, y) = 2 x + \sqrt{4 x^{2} + \frac{\left(1 - \sqrt{1 - 4 y}\right)^{2}}{4 y^{2}}}$$
Pyramid 634
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$$U_{634}(x, y) = 2 x - \sqrt{4 x^{2} + \frac{\left(1 - \sqrt{1 - 4 y}\right)^{2}}{4 y^{2}}}$$
Pyramid 635
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$$U_{635}(x, y) = \frac{- 2 y - \sqrt{1 - 4 y} + 1}{2 y^{2} \sqrt{1 - 4 x}}$$
Pyramid 636
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$$U_{636}(x, y) = 2 x + \sqrt{4 x^{2} + \frac{\left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}}}$$
Pyramid 637
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$$U_{637}(x, y) = 2 x - \sqrt{4 x^{2} + \frac{\left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}}}$$
Pyramid 638
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$$U_{638}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y} \sqrt{1 - 4 x}}$$
Pyramid 639
Preview
$$U_{639}(x, y) = 2 x + \sqrt{4 x^{2} + \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 y}}$$
Pyramid 640
Preview
$$U_{640}(x, y) = 2 x - \sqrt{4 x^{2} + \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 y}}$$
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