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Pyramid 221
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$$U_{221}(x, y) = \frac{- x^{2} + \sqrt{x^{4} + y \sqrt{1 - 4 x} \left(2 - 4 x\right) + y \left(- 4 x^{2} + 8 x - 2\right)}}{y \sqrt{1 - 4 x} + y \left(2 x - 1\right)}$$
Pyramid 222
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$$U_{222}(x, y) = \frac{- 2 x - \sqrt{1 - 4 x} + 1}{2 x^{2} \left(1 - y\right)}$$
Pyramid 223
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$$U_{223}(x, y) = \frac{2 x^{2} y - 2 x - \sqrt{1 - 4 x} + 1}{2 x^{2}}$$
Pyramid 224
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$$U_{224}(x, y) = \frac{x - \sqrt{x^{2} + 2 y \sqrt{1 - 4 x} + y \left(4 x - 2\right)}}{2 x y}$$
Pyramid 225
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$$U_{225}(x, y) = \frac{- 2 x - \sqrt{1 - 4 x} + \sqrt{2} \sqrt{8 x^{4} y + 2 x^{2} - 4 x + \sqrt{1 - 4 x} \left(2 x - 1\right) + 1} + 1}{4 x^{2}}$$
Pyramid 226
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$$U_{226}(x, y) = x + \frac{y \left(- 2 x - \sqrt{1 - 4 x} + 1\right)}{2 x^{2}}$$
Pyramid 227
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$$U_{227}(x, y) = x + \frac{y}{\left(1 - x\right)^{2}}$$
Pyramid 228
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$$U_{228}(x, y) = x + \frac{y}{\left(1 - x\right)^{3}}$$
Pyramid 229
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$$U_{229}(x, y) = x \left(x + 1\right)^{2} + y \left(x + 1\right)$$
Pyramid 230
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$$U_{230}(x, y) = x \left(x + 1\right) + y \left(x + 1\right)^{2}$$
Pyramid 231
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$$U_{231}(x, y) = x \left(x + 1\right) + y \left(x + 1\right)^{3}$$
Pyramid 232
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$$U_{232}(x, y) = x \left(x + 1\right)^{2} + y \left(x + 1\right)^{3}$$
Pyramid 233
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$$U_{233}(x, y) = x + y \left(x + 1\right)^{2}$$
Pyramid 234
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$$U_{234}(x, y) = x + y \left(x + 1\right)^{3}$$
Pyramid 235
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$$U_{235}(x, y) = \frac{x + y}{1 - x}$$
Pyramid 236
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$$U_{236}(x, y) = \frac{x + y}{\left(1 - x\right)^{2}}$$
Pyramid 237
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$$U_{237}(x, y) = \frac{x + y}{\left(1 - x\right)^{3}}$$
Pyramid 238
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$$U_{238}(x, y) = \frac{x}{1 - x} + \frac{y}{\left(1 - x\right)^{2}}$$
Pyramid 239
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$$U_{239}(x, y) = \frac{x}{\left(1 - x\right)^{2}} + \frac{y}{1 - x}$$
Pyramid 240
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$$U_{240}(x, y) = \frac{x}{\left(1 - x\right)^{3}} + \frac{y}{1 - x}$$
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