Pyramid 1201
Preview $$U_{1201}(x, y) = \frac{\left(- 2 x \left(y + 1\right) - \sqrt{- 4 x \left(y + 1\right) + 1} + 1\right)^{3}}{8 x^{6} \left(y + 1\right)^{6}}$$
Pyramid 1202
Preview $$U_{1202}(x, y) = \frac{\left(- 2 x \left(y + 1\right)^{2} - \sqrt{- 4 x \left(y + 1\right)^{2} + 1} + 1\right)^{3}}{8 x^{6} \left(y + 1\right)^{12}}$$
Pyramid 1203
Preview $$U_{1203}(x, y) = \frac{\left(- 2 x \left(y + 1\right)^{3} - \sqrt{- 4 x \left(y + 1\right)^{3} + 1} + 1\right)^{3}}{8 x^{6} \left(y + 1\right)^{18}}$$
Pyramid 1204
Preview $$U_{1204}(x, y) = \frac{\left(1 - y\right)^{6} \left(- \frac{2 x}{1 - y} - \sqrt{- \frac{4 x}{1 - y} + 1} + 1\right)^{3}}{8 x^{6}}$$
Pyramid 1205
Preview $$U_{1205}(x, y) = \frac{\left(1 - y\right)^{12} \left(- \frac{2 x}{\left(1 - y\right)^{2}} - \sqrt{- \frac{4 x}{\left(1 - y\right)^{2}} + 1} + 1\right)^{3}}{8 x^{6}}$$
Pyramid 1206
Preview $$U_{1206}(x, y) = \frac{\left(1 - y\right)^{18} \left(- \frac{2 x}{\left(1 - y\right)^{3}} - \sqrt{- \frac{4 x}{\left(1 - y\right)^{3}} + 1} + 1\right)^{3}}{8 x^{6}}$$
Pyramid 1207
Preview $$U_{1207}(x, y) = \frac{8 y^{6} \left(- \frac{x \left(1 - \sqrt{1 - 4 y}\right)}{y} - \sqrt{- \frac{2 x \left(1 - \sqrt{1 - 4 y}\right)}{y} + 1} + 1\right)^{3}}{x^{6} \left(1 - \sqrt{1 - 4 y}\right)^{6}}$$
Pyramid 1208
Preview $$U_{1208}(x, y) = \frac{512 y^{12} \left(- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{2}}{2 y^{2}} - \sqrt{- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{2}}{y^{2}} + 1} + 1\right)^{3}}{x^{6} \left(1 - \sqrt{1 - 4 y}\right)^{12}}$$
Pyramid 1209
Preview $$U_{1209}(x, y) = \frac{32768 y^{18} \left(- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{4 y^{3}} - \sqrt{- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{2 y^{3}} + 1} + 1\right)^{3}}{x^{6} \left(1 - \sqrt{1 - 4 y}\right)^{18}}$$
Pyramid 1210
Preview $$U_{1210}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right) \sqrt{\frac{2 x \left(1 - \sqrt{1 - 4 y}\right)}{y} + 1}}{2 y}$$
Pyramid 1211
Preview $$U_{1211}(x, y) = \frac{512 y^{24} \left(- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{2 y^{4}} - \sqrt{- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{y^{4}} + 1} + 1\right)^{3}}{x^{6} \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{12}}$$
Pyramid 1212
Preview $$U_{1212}(x, y) = \frac{32768 y^{36} \left(- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{4 y^{6}} - \sqrt{- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{2 y^{6}} + 1} + 1\right)^{3}}{x^{6} \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{18}}$$
Pyramid 1213
Preview $$U_{1213}(x, y) = \frac{\frac{x}{\left(1 - y\right)^{3}} + 1}{\left(1 - y\right)^{3}}$$
Pyramid 1214
Preview $$U_{1214}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right)^{3} \left(\frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{8 y^{3}} + 1\right)}{8 y^{3}}$$
Pyramid 1215
Preview $$U_{1215}(x, y) = \frac{\left(\frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}} + 1\right) \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}}$$
Pyramid 1216
Preview $$U_{1216}(x, y) = \frac{\left(\frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{8 y^{6}} + 1\right) \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{8 y^{6}}$$
Pyramid 1217
Preview $$U_{1217}(x, y) = \frac{\sqrt{2} \sqrt{\frac{1 - \sqrt{1 - 16 y}}{y}} \left(x + 1\right)^{2}}{4}$$
Pyramid 1218
Preview $$U_{1218}(x, y) = \left(x + 1\right) \left(\frac{\sin{\left(\frac{\operatorname{asin}{\left(216 y^{2} - 1 \right)}}{3} \right)}}{6 y} + \frac{1}{12 y}\right)$$
Pyramid 1219
Preview $$U_{1219}(x, y) = \left(y + 1\right)^{3} \left(x \left(y + 1\right)^{3} + 1\right)^{2}$$
Pyramid 1220
Preview $$U_{1220}(x, y) = \frac{\sqrt{2} \sqrt{\frac{1 - \sqrt{1 - 16 y}}{y}}}{4 \left(1 - x\right)^{2}}$$
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