VOLUME 01 · MODULES 0–10
From Numbers to
Array-Based Worlds
Build your foundation in Python and NumPy. Turn arrays into pictures, movement, and your first games.
PYTHON · NUMPY · PYGAME
Think in numbers.
Build whole worlds.
A matrix can become an image, a playing field, or a world seen through a camera. Learn to build them — and understand what makes them work.
01 / REPRESENT02 / TRANSFORM03 / CREATE
ONE IDEA. MANY WORLDS.
See the data.
Understand the picture.
Start with something you can see. Represent it with numbers. Change those numbers, watch what happens, and explain why.
01 Predict02 Try03 Explain04 Change
Small, traceable steps connect Python fundamentals to array-based games, classes, transformations, and three-dimensional graphics.
THE FIRST EXPERIMENT
A few numbers.
A different picture.
Choose a slice. Predict which pixels will change.
Then apply it and compare.
01 / SELECT YOUR OPERATION
Rows 2–5 and columns 2–5. The stop index is excluded.
Make a prediction, then try it.
Interactive JavaScript model of these NumPy operations. Python is not executed here.
02 / THE MATRIXrow ↓ column →
0 · paper1 · blue2 · yellow
Each cell is one pixel. Click a cell to cycle its value.
03 / THE IMAGE
Explain this operation
The first index selects rows; the second selects columns. In 2:6, index 2 is included and index 6 is excluded. Four rows × four columns gives 16 selected cells.
GAME LABORATORIES
Play the game.
See the data behind it.
01 / COORDINATES & MOVEMENT
Snake ↗
One field, two synchronized views. Follow the head, release the tail, and watch the matrix change.
Explore the snake lab →02 / ROTATION & COLLISION
Tetris ↗
Move and rotate a piece matrix. Combine it with the field, then discover how a full row disappears.
Explore the falling-block lab →03 / TRANSFORMS & PERSPECTIVE
Wireframe arena ↗
Pilot the book’s wireframe aircraft. Fight new enemy sectors and inspect the matrices behind every move.
Explore the wireframe arena →04 / RAYS & DEPTH
Raycasting ↗
Walk through the book’s maze. Connect the matrix and ray hits to a first-person view.
Explore the raycasting lab →05 / REGION GROWTH & AREA
Xonix ↗
Close a line. Watch a region spread one wave at a time, count its cells, and compare capture candidates.
Explore the region-growth lab →THE LEARNING PATH
One journey.
Three printed volumes.
Or explore the complete book in a single EPUB.
Publication is in preparation.
From Numbers to
VOLUME 02 · MODULES 11–18
Images, Classes, and
Matrix-Based Games
Organize growing programs with classes. Work with images and build games including Tetris and Xonix.
VOLUME 03 · MODULES 19–23
Geometry, Cameras, and
Three-Dimensional Worlds
Connect trigonometry and transformations to wireframe flight, raycasting, and perspective projection.
KEEP EXPLORING
The book is a beginning.
The experiments are yours.
Find the companion code, follow the project steps, and make your own changes.
FOR READERS