Pyramid 281
Preview $$U_{281}(x, y) = \frac{1 - \sqrt{y \left(- 4 x^{2} - 4\right) + 1}}{2 y}$$
Pyramid 282
Preview $$U_{282}(x, y) = \frac{1 - \sqrt{y \left(- 4 x^{2} - 4\right) + 1}}{2 y}$$
Pyramid 283
Preview $$U_{283}(x, y) = x + y^{2} + 1$$
Pyramid 284
Preview $$U_{284}(x, y) = \frac{2 \sqrt{3} \left(y + 1\right) \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 \sqrt{x}}$$
Pyramid 285
Preview $$U_{285}(x, y) = \frac{\sqrt{3} \left(2 x + 2\right) \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}}$$
Pyramid 286
Preview $$U_{286}(x, y) = - \frac{2 \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{- \sqrt{3} \sqrt{x} + 2 y \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}$$
Pyramid 287
Preview $$U_{287}(x, y) = \frac{\sqrt{3} \sqrt{x} - \sqrt{3 x - 16 y \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}}{4 y \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}$$
Pyramid 288
Preview $$U_{288}(x, y) = \frac{\sqrt{3} \left(\sqrt{2 \sqrt{3} \sqrt{x} y \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)} + \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}} + \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}\right)}{3 \sqrt{x}}$$
Pyramid 289
Preview $$U_{289}(x, y) = - \frac{2 \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{2 x \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)} - \sqrt{3} \sqrt{y}}$$
Pyramid 290
Preview $$U_{290}(x, y) = \frac{\sqrt{3} \sqrt{y} - \sqrt{- 16 x \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)} + 3 y}}{4 x \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}$$
Pyramid 291
Preview $$U_{291}(x, y) = \frac{\sqrt{3} \left(\sqrt{2 \sqrt{3} x \sqrt{y} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)} + \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}} + \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}\right)}{3 \sqrt{y}}$$
Pyramid 292
Preview $$U_{292}(x, y) = y + \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 \sqrt{x}}$$
Pyramid 293
Preview $$U_{293}(x, y) = x + \frac{2 \sqrt{3} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}}$$
Pyramid 294
Preview $$U_{294}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 \sqrt{x} \left(1 - y\right)}$$
Pyramid 295
Preview $$U_{295}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y} \left(1 - x\right)}$$
Pyramid 296
Preview $$U_{296}(x, y) = \frac{\sqrt{3} \left(\sqrt{3} \sqrt{x} - \sqrt{- 8 \sqrt{3} \sqrt{x} y \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)} + 3 x}\right)}{6 \sqrt{x} y}$$
Pyramid 297
Preview $$U_{297}(x, y) = \frac{\sqrt{3} \left(\sqrt{3} \sqrt{y} - \sqrt{- 8 \sqrt{3} x \sqrt{y} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)} + 3 y}\right)}{6 x \sqrt{y}}$$
Pyramid 298
Preview $$U_{298}(x, y) = \frac{1 - \sqrt{- 4 x y^{2} - 4 x + 1}}{2 x}$$
Pyramid 299
Preview $$U_{299}(x, y) = \frac{1 - \sqrt{- 4 x y^{3} - 12 x y^{2} - 12 x y - 4 x + 1}}{2 x y + 2 x}$$
Pyramid 300
Preview $$U_{300}(x, y) = \frac{- x - \sqrt{x^{2} - 2 x - 4 y^{2} + 1} + 1}{2 y^{2}}$$
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