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Pyramid 81
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$$U_{81}(x, y) = \frac{- 2 x y - 2 x - \sqrt{- 4 x y - 4 x + 1} + 1}{2 x^{2} \left(y + 1\right)}$$
Pyramid 82
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$$U_{82}(x, y) = \frac{1 - \sqrt{y \left(- 4 x^{4} - 16 x^{3} - 24 x^{2} - 16 x - 4\right) + 1}}{2 y \left(x + 1\right)^{2}}$$
Pyramid 83
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$$U_{83}(x, y) = \frac{\left(y + 1\right) \left(\sqrt{4 x + 1} + 1\right)}{2}$$
Pyramid 84
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$$U_{84}(x, y) = \frac{- \sqrt{4 x + 1} - 1}{y \left(\sqrt{4 x + 1} + 1\right) - 2}$$
Pyramid 85
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$$U_{85}(x, y) = \frac{1 - \sqrt{y \left(- 4 x - 2\right) - 2 y \sqrt{4 x + 1} + 1}}{y \left(\sqrt{4 x + 1} + 1\right)}$$
Pyramid 86
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$$U_{86}(x, y) = \frac{y + 1}{\sqrt{1 - 4 x}}$$
Pyramid 87
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$$U_{87}(x, y) = - \frac{1}{y - \sqrt{1 - 4 x}}$$
Pyramid 88
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$$U_{88}(x, y) = \frac{\sqrt{1 - 4 x} - \sqrt{- 4 x - 4 y + 1}}{2 y}$$
Pyramid 89
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$$U_{89}(x, y) = \frac{1}{2} - \frac{\sqrt{- 4 x - 4 y + 1}}{2}$$
Pyramid 90
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$$U_{90}(x, y) = \frac{x + y}{- x - y + 1}$$
Pyramid 91
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$$U_{91}(x, y) = \frac{x + y}{\left(- x - y + 1\right)^{2}}$$
Pyramid 92
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$$U_{92}(x, y) = x + y + \left(x + y\right)^{2}$$
Pyramid 93
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$$U_{93}(x, y) = \frac{- 2 x - 2 y - \sqrt{- 4 x - 4 y + 1} + 1}{2 x + 2 y}$$
Pyramid 94
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$$U_{94}(x, y) = \frac{x + y}{\sqrt{- 4 x - 4 y + 1}}$$
Pyramid 95
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$$U_{95}(x, y) = \frac{x + y}{\left(- x - y + 1\right)^{3}}$$
Pyramid 96
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$$U_{96}(x, y) = \frac{x + y}{\sqrt[3]{- 9 x - 9 y + 1}}$$
Pyramid 97
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$$U_{97}(x, y) = \frac{1}{\sqrt{- 4 x - 4 y + 1}}$$
Pyramid 98
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$$U_{98}(x, y) = \frac{1}{\left(- x - y + 1\right)^{2}}$$
Pyramid 99
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$$U_{99}(x, y) = \frac{1}{\sqrt{- 4 x^{2} + \left(y - 1\right)^{2}}}$$
Pyramid 100
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$$U_{100}(x, y) = \frac{1}{\sqrt{- 4 y^{2} + \left(x - 1\right)^{2}}}$$
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