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Pyramid 101
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$$U_{101}(x, y) = \frac{1}{\sqrt{- 4 x + \left(y - 1\right)^{2}}}$$
Pyramid 102
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$$U_{102}(x, y) = \frac{1}{\sqrt{- 4 y + \left(x - 1\right)^{2}}}$$
Pyramid 103
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$$U_{103}(x, y) = \frac{2 y + \sqrt{x^{2} - 2 x + 4 y^{2} + 1}}{x^{2} - 2 x + 1}$$
Pyramid 104
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$$U_{104}(x, y) = \frac{2 x + \sqrt{4 x^{2} + y^{2} - 2 y + 1}}{y^{2} - 2 y + 1}$$
Pyramid 105
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$$U_{105}(x, y) = \frac{x^{2} - 2 x + y^{2} - 2 y + \left(x + y - 1\right) \sqrt{x^{2} - 2 x + y^{2} + y \left(- 2 x - 2\right) + 1} + 1}{2 x^{2} y^{2}}$$
Pyramid 106
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$$U_{106}(x, y) = \frac{x^{2} + y^{2} + y \left(- 2 x - 2\right) + \left(- x + y - 1\right) \sqrt{x^{2} - 2 x + y^{2} + y \left(- 2 x - 2\right) + 1} + 1}{2 x^{2}}$$
Pyramid 107
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$$U_{107}(x, y) = \frac{x - 1}{x + y - 1}$$
Pyramid 108
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$$U_{108}(x, y) = \frac{- x - \sqrt{x^{2} - 2 x + y \left(4 x - 4\right) + 1} + 1}{2 y}$$
Pyramid 109
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$$U_{109}(x, y) = \frac{x - y - \sqrt{x^{2} - 2 x + y^{2} + y \left(- 2 x - 2\right) + 1} + 1}{2 x}$$
Pyramid 110
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$$U_{110}(x, y) = \frac{- x + y - \sqrt{x^{2} + x \left(- 2 y - 2\right) + y^{2} - 2 y + 1} + 1}{2 y}$$
Pyramid 111
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$$U_{111}(x, y) = \frac{2}{x + \sqrt{x^{2} - 2 x - 4 y + 1} + 1}$$
Pyramid 112
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$$U_{112}(x, y) = \frac{2}{y + \sqrt{- 4 x + y^{2} - 2 y + 1} + 1}$$
Pyramid 113
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$$U_{113}(x, y) = \frac{y - 1}{x + y - 1}$$
Pyramid 114
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$$U_{114}(x, y) = \frac{- y - \sqrt{x \left(4 y - 4\right) + y^{2} - 2 y + 1} + 1}{2 x}$$
Pyramid 115
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$$U_{115}(x, y) = \frac{2}{- 2 x + y^{2} + \left(y + 1\right) \sqrt{- 4 x + y^{2} - 2 y + 1} + 1}$$
Pyramid 116
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$$U_{116}(x, y) = \frac{2}{- 2 x y + y^{2} + \left(x - 1\right)^{2} + \sqrt{- 4 y + \left(- x + y + 1\right)^{2}} \left(- x + y + 1\right)}$$
Pyramid 117
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$$U_{117}(x, y) = y + \sqrt{4 x + 1}$$
Pyramid 118
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$$U_{118}(x, y) = x + \sqrt{4 y + 1}$$
Pyramid 119
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$$U_{119}(x, y) = - \frac{\sqrt{4 x + 1}}{y - 1}$$
Pyramid 120
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$$U_{120}(x, y) = 2 x + y + \sqrt{4 x^{2} + 4 x y + 1}$$
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