Step 1: Concept and Composition
The treehouse is conceptualized as an eco-friendly structure built around a large, mature tree. The overall form follows the natural growth of the tree, ensuring harmony with the environment. The composition balances the treehouse centrally with surrounding foliage to emphasize integration with nature.
Step 2: Structural Elements
The sketch includes a wooden deck supported by thick branches, a rope-and-wood ladder made from natural materials, and railings crafted from bamboo or logs. The house structure is kept compact with sloping roofs to blend with the forest setting.
Step 3: Light, Shadow, and Texture
Natural light is shown filtering through the leaves, creating soft highlights on wooden surfaces. Shadows are added beneath the deck, ladder, and branches to provide depth. Textures of wood grain, bark, and leaves are carefully rendered for realism.
Step 4: Colour Application
Earthy tones such as browns, greens, and muted yellows are used. The tree trunk is shaded with dark browns, foliage with multiple green tones, and the deck with warm wooden hues to maintain a natural appearance.
Step 5: Final Presentation
The final sketch appears peaceful, organic, and environmentally sensitive, successfully reconnecting architecture with nature through form, material, and colour.
In the following \(p\text{–}V\) diagram, the equation of state along the curved path is given by \[ (V-2)^2 = 4ap, \] where \(a\) is a constant. The total work done in the closed path is: 
Let \( ABC \) be a triangle. Consider four points \( p_1, p_2, p_3, p_4 \) on the side \( AB \), five points \( p_5, p_6, p_7, p_8, p_9 \) on the side \( BC \), and four points \( p_{10}, p_{11}, p_{12}, p_{13} \) on the side \( AC \). None of these points is a vertex of the triangle \( ABC \). Then the total number of pentagons that can be formed by taking all the vertices from the points \( p_1, p_2, \ldots, p_{13} \) is ___________.
Consider the following two reactions A and B: 
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.