Pyramid 1221
Preview $$U_{1221}(x, y) = \frac{\sqrt{2} \sqrt{\frac{1 - \sqrt{1 - 16 y}}{y}}}{4 \left(1 - x\right)^{3}}$$
Pyramid 1222
Preview $$U_{1222}(x, y) = \frac{\left(\frac{x}{\left(1 - y\right)^{3}} + 1\right)^{2}}{\left(1 - y\right)^{3}}$$
Pyramid 1223
Preview $$U_{1223}(x, y) = \sqrt{4 x + 1} \left(y + 1\right)^{3}$$
Pyramid 1224
Preview $$U_{1224}(x, y) = \frac{\frac{\sin{\left(\frac{\operatorname{asin}{\left(216 y^{2} - 1 \right)}}{3} \right)}}{6 y} + \frac{1}{12 y}}{\left(1 - x\right)^{3}}$$
Pyramid 1225
Preview $$U_{1225}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right)^{3} \left(\frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{8 y^{3}} + 1\right)^{2}}{8 y^{3}}$$
Pyramid 1226
Preview $$U_{1226}(x, y) = \left(x + 1\right)^{2} \left(2 y + \sqrt{4 y^{2} + 1}\right)$$
Pyramid 1227
Preview $$U_{1227}(x, y) = \frac{\left(\frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}} + 1\right)^{2} \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}}$$
Pyramid 1228
Preview $$U_{1228}(x, y) = \frac{\left(\frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{8 y^{6}} + 1\right)^{2} \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{8 y^{6}}$$
Pyramid 1229
Preview $$U_{1229}(x, y) = \frac{\sqrt{2} \sqrt{\frac{1 - \sqrt{1 - 16 y}}{y}} \left(x + 1\right)^{3}}{4}$$
Pyramid 1230
Preview $$U_{1230}(x, y) = \left(y + 1\right)^{2} \left(x \left(y + 1\right)^{2} + 1\right)^{3}$$
Pyramid 1231
Preview $$U_{1231}(x, y) = \left(y + 1\right)^{3} \left(x \left(y + 1\right)^{3} + 1\right)^{3}$$
Pyramid 1232
Preview $$U_{1232}(x, y) = \frac{\left(\frac{x}{1 - y} + 1\right)^{3}}{1 - y}$$
Pyramid 1233
Preview $$U_{1233}(x, y) = \frac{\left(\frac{x}{\left(1 - y\right)^{2}} + 1\right)^{3}}{\left(1 - y\right)^{2}}$$
Pyramid 1234
Preview $$U_{1234}(x, y) = \frac{\left(\frac{x}{\left(1 - y\right)^{3}} + 1\right)^{3}}{\left(1 - y\right)^{3}}$$
Pyramid 1235
Preview $$U_{1235}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right) \left(\frac{x \left(1 - \sqrt{1 - 4 y}\right)}{2 y} + 1\right)^{3}}{2 y}$$
Pyramid 1236
Preview $$U_{1236}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right)^{2} \left(\frac{x \left(1 - \sqrt{1 - 4 y}\right)^{2}}{4 y^{2}} + 1\right)^{3}}{4 y^{2}}$$
Pyramid 1237
Preview $$U_{1237}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right)^{3} \left(\frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{8 y^{3}} + 1\right)^{3}}{8 y^{3}}$$
Pyramid 1238
Preview $$U_{1238}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right) \sqrt{\frac{2 x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)}{y^{2}} + 1}}{2 y}$$
Pyramid 1239
Preview $$U_{1239}(x, y) = \frac{\left(\frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}} + 1\right)^{3} \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}}$$
Pyramid 1240
Preview $$U_{1240}(x, y) = \frac{\left(\frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{8 y^{6}} + 1\right)^{3} \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{8 y^{6}}$$
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