📐 PROJECTIONIST

📐 Orthographic Projection & Shadows

Projectionist teaches how 3D volumes project onto 2D planes – like blueprint drawings.

• Front shadow: Light from face 4 (back) → face 3 (front). Each cell (x,y) lights up if any cube exists at that (x,y) regardless of Z.
• Top shadow: Light from face 2 (top) → face 1 (bottom). Each cell (x,z) lights up if any cube exists at that (x,z) regardless of Y. Use Flip Top View to match your mental map.
• Side shadow: Light from face 6 (right) → face 5 (left). Each cell (z,y) lights up if any cube exists at that (z,y) regardless of X.
• The bounding box faces are numbered 1=bottom, 2=top, 3=front, 4=back, 5=left, 6=right.
• Your task: build the 3D shape so that its live shadows match the given target shadows.

📚 Bonus Packs – Learning Goals

• 🔤 Alphabet Park (5x5) – Block letters A‑H. Learn how simple 2D shapes extrude into 3D and cast shadows.
• 🔢 Number Factory (5x5) – Digits 0‑9. Practice symmetry and vertical stacking.
• 🐾 Petting Zoo (5x5) – Abstract animal shapes (bird, fish, turtle, cat, dog, rabbit, butterfly, snake). Encourages creative spatial thinking.
• ✨ Symbol Studio (5x5) – Heart, star, arrow, smile, moon, sun, cross, diamond. Explore symmetry and cultural icons.
• 🀄 Hanzi Workshop (7x7) – 18 simplified Chinese characters (山,田,人,口,目,一二三…十,百,千,万). Learn stroke‑based 3D construction and orthographic projection of logograms.

Each pack increases difficulty by using multi‑layer (Y>0) cubes, forcing you to think about depth.