[Managebac Backup - Peer Tutoring 3D Modelling] Lecture of 16th and 18th of May 2023.











Written on the 21st of May 2023.

Lecture of 16th and 18th of May 2023.


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


The concepts we covered throughout the lecture syllabus are,


Sketch


  1. Drawing Lines (Touch, endpoint, exit sketching)

  2. Drawing Arcs (2 points, exit sketching) Exit is usual

  3. Lines and Arcs Pen version (Automatic recognition, dimensional label, Arc (Wiggle vs menu, Radius angle definition, close the shape)

  4. Move and rotate sketches (Sketch, rotate) (Gizmo tool, Copy badge) (Edge regions dragging)

  5. Drawing Splines 

Fit Spines: (Curve segments, backspace, drop pen) (Dragging points, Dragging Handles (New spine point, point delete) (Break slash individually)

Control Spines: (Polyline, Dragging points) (New spine points, Break slash individually connection) (Connection to shapes)

  1. Drawing Rectangles (Centre, Diagonal, 3-point sides)


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


  1. Drawing Lines (Touch, endpoint, exit sketching)

>> Highlighted the importance of “sensitivity” since it was the most basic of sketching.

>> Mathematical concepts explained are: 

Drawing Lines: Linear functions + x axis y axis, 2D cartesian plate, focussing on what these each is, and enhancing comprehension of the tool, using mathematics.

>> How to measure and clarify, (standardize) the length of the sketch.

>> Plus the basics of exiting after sketch.


  1. Drawing Arcs (2 points, exit sketching) Exit is usual

  2. Lines and Arcs Pen version (Automatic recognition, dimensional label, Arc (Wiggle vs menu, Radius angle definition, close the shape)

>> Highlighted the relation between, generating a circle and a line, whether locking the decisions abled to use, neither setting automatic (When drawing a circle, it generates an arc, and when drawing a line, it generates a linear straight line.). 

>> Explained what is the mathematical definition, the relation between the radius and the arc (circumference), deriving how to create circle objects by controlling their size on a cartesian product. 


  1. Move and rotate sketches (Sketch, rotate) (Gizmo tool, Copy badge) (Edge regions dragging)

>> Explained how to translate the position of the sketch object drawn in both horizontal and vertical directions, also explaining the mathematical concept of an RXR cartesian plate and translation vector. 

>> Explained how to rotate the Sketch object in 360 degrees.

>> Gave a notification to beware of selecting the sketch objects each, as it will glow sky blue when selected. (To avoid missing parts)


  1. Drawing Splines 

Fit Spines: (Curve segments, backspace, drop pen) (Dragging points, Dragging Handles (New spine point, point delete) (Break slash individually)

Control Spines: (Polyline, Dragging points) (New spine points, Break slash individually connection) (Connection to shapes)


>> Explained the two distinct versions of fit and control. Where fit is directly generating the instantaneous line (Tangent line), and control is closer to line eccentricity, avoiding generated points forming a curve (Parabola) points. 

>> Explained the Concept of fit as derivatives in calculus, where deriving the instantaneous line. Changing the angle of the line may change the function itself, which forms changes to each shape of the arcs generated. 

>> Explained the differences of fit and control of arcs, comparing to the human mathematical instinct of adopting addition and subtraction, where a subtraction has more stages since it is adding its inverse element of addition, similarly, explained that control is more complicated, as it has more stages of algorithmic calculation of the shape, which we tend to generate.

>> Explained breaking curve tangent line points, also with the derivability of a function, considering the conditions such as continuous function, or whether the function point has nodes. 


  1. Drawing Rectangles (Centre, Diagonal, 3-point sides)

>>Explained the three versions of each methodology, drawing a rectangle.

>>Centre: Explained the situations useful such as fitting the shape into certain odds.

>>Diagonal: Two points automatically generate a triangle, which creates circumscribed circle proven by the relation between a square.

>>3-point sides, the same concept used above together with Diagonal methodology.

>> All in common, explained how to control each length of the sides.


(The video on the last page is about explaining, how to generate a spline through fit and control, with mathematical concepts.)


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