Shapr3D Lecture on the 23rd and 24th of May 2023.

Written on the 28th of May 2023.

Lecture on the 23rd and 24th of May 2023.

The second 3D modelling class lectures were taken through two days each, with two teams divided. 

The concepts we covered throughout the lecture syllabus are

Sketch

6. Drawing Rectangles (Centre, Diagonal, 3-point sides) (Only Group 2)

7. Drawing Circles (Circle annotation, diameter, radius)

8. Drawing Ellipses (First axis and second axis)

9. Drawing Polygons (Select type, Move outer vertex, Define the number of sides, the length between origin)

10. Creating sketch patterns 

Linear: (Select, Spacing distance, Quantity, (Spacing Distance vs Total distance) (Total distance: Spacing area)

Circular: (Select, Gizmo to define the centre of the pattern) (Spacing angle vs Total angle) (Angle Value, Number of quantity) (Rotate the direction relative to the Gizmo centre)

11. Trimming Sketches (Select trim, Select unwanted segments, unselected area or backspace to finish) (Only group 1)

Given pictures will explain, the teaching methods relating to the mathematical concepts used. 

6. Drawing Rectangles (Centre, Diagonal, 3-point sides) (Only Group 2)

>>> Since group 2 yet didn’t have sufficient time for the lecture, It was delayed on their syllabus. However, bless in disguise, we were able to research deeply with its concept with more mathematical concepts.

>>> Mathematical Concepts:

(Centre): Used the mathematical concept (Definition, Principle) of Ellipses Circumscribed Rectangle to explain. Explained it would be preferable in situations where fitting the shape into pre-existing design segments. It shares parallels since the length value of the major axis and the minor axis are the same with each perpendicular side of the rectangle.

(Diagonal): Used the mathematical concept (Definition, Principle) of the diameter of a Circle, with the Circumcircle of a Triangle (Rectangle). Explained the characteristic being useful in all situations, where fitting in somewhere or neither expanding its shape.

(3-point sides): Used the mathematical concept (Definition, Principle) of the circumcircle of a triangle, of the ability to generate a circle by defining three distinct points on a cartesian plate. 

7. Drawing Circles (Circle annotation, diameter, radius)

>>> Used the mathematical concept (Definition, Principle) of a Circle to explain. The set of points in a plane that are equidistant from a given point. Which focused on the importance of the relative size, about adjusting the radius and the diameter. Also linked back to the relations with each rectangle and triangle with the circumcircle.

8. Drawing Ellipses (First axis and second axis)

>>> Before explaining the methodology of generating Ellipses on the plane, explained the mathematical definition and the principles of Ellipses. Especially by focusing on the difference with a circle, since the definition is the set of all points on a plane whose distance is from two fixed points, having different characteristics such as major axis and minor axis, instead of a constant radius from any angles. 

>>> Focused on changing each axis value of distance, changing the shape, and eventually shown with the mathematical concept of stretch, generating a circle by performing it.

9. Drawing Polygons (Select type, Move outer vertex, Define the number of sides, the length between origin)

>>> Used the mathematical concept (Definition, Principle) of a Centroid, Barycentre of each polynomial to explain the mechanism of the generation on the plain. 

>>> Explained the proportional relations between the length(Distance) between each sector of the polynomial to the centroid, with relative size variations.

10. Creating sketch patterns 

Linear: (Select, Spacing distance, Quantity, (Spacing Distance vs Total distance) (Total distance: Spacing area)

Circular: (Select, Gizmo to define the centre of the pattern) (Spacing angle vs Total angle) (Angle Value, Number of quantity) (Rotate the direction relative to the Gizmo centre)

>>> Used the mathematical concept (Definition, Principle) of the x and y-axis, and circles while generating patterns, and organizing the distances between each sketch object lined. 

>>> Explained two distinct situations generating patterns, whether to place the total distance (Fitting) the pattern into set series of sketches, or neither automatically generate the distances while determining the total length of the pattern sequence.

11. Trimming Sketches (Select trim, Select unwanted segments, unselected area or backspace to finish) (Only group 1)

>>> Explained how to trim (Remove) sketches, however minded to calculate contacting points of sketch lines such as intersections, since 

Plus at the moment of explaining the polynomials, revealed the mathematical perspective of 3D. While limiting our knowledge to generated “Face” in a 2D cartesian plate, when explaining polygons and sketch faces, has simply explained extending the object into the z-axis, yet however, hasn’t explained rigorously about 3D space.

Experienced several changes in the main syllabus of tutoring, by discovering more mathematical concepts through week 2 lectures.

Some students had to miss the first class, so some processes were made to cover up their blanks in learning. Simpler forms of explanations were provided in shorter times, and lecture sources and information (Previous lecture uploaded) were used to help them follow up understanding.