CODE FOR POLYGON GENERATOR IN SCRATCH CODE

The pitch uses the angle subtraction formula rather than the angle addition formula because the pitch is clockwise, not counterclockwise. The pitch is the rotation around the x-axis.

The roll is the rotation around the y-axis.

CODE FOR POLYGON GENERATOR IN SCRATCH CODE

This code rotates a sprite on a two-dimensional plane: Sin ⁡ ( A 1 + A 2 ) = sin ⁡ ( A 1 ) cos ⁡ ( A 2 ) + sin ⁡ ( A 2 ) cos ⁡ ( A 1 ) Each component can be thought of as applying a 2D rotation around an axis. They consist of three components: yaw (rotation around the z axis), pitch (rotation around the x axis) and roll (rotation around the y axis). Rotations in a 3D environment are a bit more complicated. The turn () degrees blocks rotate sprites. Rotations are transformations that turn shapes. The change x by and change y by blocks translate sprites across the x and y axis respectively. Translation is the movement of a shape across the coordinate plane. In 3D, this code change the scale of a model: For example, the set size to () and change size by blocks dilate sprites. The process of scaling is known as dilation. Here are the explanation and code for all 3: There are 3 types of transformations: scale (dilation), translation and rotation. Each vertex has an x, a y and a z component. Let a 'model' consist of an array of vertices and an array of faces. Representing a 3D object in some varibles is a model. These variables are used for explanation, but not used in the final script: The vertices of models can be to be stored in a list which is set to 'for all sprites', but is not necessary for this tutorial: You will also need to create these varibles which is set to 'for this sprite only' for every sprite that you want to process the vertices. You will need to create these variables which is set to 'for all sprites': Finally, the clipspace coordinates are projected onto the screen. Points that are not in the camera's field of vision ('clipspace') may be dropped. Then, they must determine the worldspace coordinates' positions relative to the viewer by applying the opposite of the camera's transform to the points. To implement 3D, one first needs to calculate the model's vertices' positions in the map ('worldspace'). Transformations are a way to describe the movement of shapes. The model also has a 'transform' consisting of its translation, rotation and scale. Three-dimensional objects may be manipulated with matrix transformations. The illusion of 3D on a flat surface, such as a computer screen, is achieved by projecting a three-dimensional point onto a two-dimensional surface. However, one can incorporate size and movement that causes an illusion of depth in Scratch. In real life, the Z axis exists, but in Scratch, it does not. The Z axis is a Cartesian coordinate, which is like the X and Y axes found in Scratch, but the Z axis usually is the axis for depth.

6 Example using size to create a 3D effectĪ 3D environment is a place that involves the common X and Y axes found in Scratch, as well as the additional Z axis.

Code for polygon generator in scratch