5th of June 2023, Final Sketch Syllabus Shapr3D

 Final Sketch Syllabus (Also uploaded as PDF). Re-upload since major changes have been made with mathematical concepts used while explaining. 

9th of April 2023, planned by Youngseong Yun

2nd change was made on the 28th of May 2023, by Youngseong Yun

Final changes made on the 5th of June 2023, by Youngseong Yun

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)

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

3. Drawing Ellipses (First axis and second axis)

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

5. 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)

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

2. Introduction to Constraints (Constraints setting) (Sketch menu) (Auto Constraint) (Show all VS Selection-based)

3. Adding and Removing Constraints (Select sketch element first, Select constraint type after) (Perpendicular, Midpoint, Endpoint, Point Locks) (Three ways to remove constraints 1) Unlock, 2) Disconnect, 3) Delete Constraint (Button))

4. Editing sketch dimensions (Select sketch, Calculator calculate dimension number) (Select distance type, left from icon) (Three types of distance 1) Horizontal, Vertical, Connected or unconnected) (Define angles)

5. Types of constraints (At least two lines, Constraint menu, not always connected) (1) Parallel, 2) Tangent, 3) Other elements(Shapes) 4) Midpoint (Endpoint + Midpoint), 5) Concentric (Arc + Circle), 6) Horizontal+Vertical(One or more), 7) Auto-Constraints (Just Sketch), 8) Equal-Constraints (Many), 9) Symmetry-Constraints (Two lines + Axis-line), 10) Lock Constraint (Line + Lock, colour)

6. Using pattern constraints (Pattern Changing, break pattern for individual change)

7. Making Construction Geometries (Select Sketch, Select one sketch element, Make construction, dashed line, to return-Make Regular)

8. Defining Sketch Planes (Faces of orientation cube, press the space bar, select the face, select the space by touch-screen)

Final rewards:

Using Chat GPT-4 to generate precise shapes

Mathematical concepts used and related

1. Linear function, line function 직선의 방정식 直線の方程式、線の式

2. Calculus 미적분 微積分

3. Calculus 

4. Drawing figures　작도 作図、Calculus 미적분 微積分　

5. Calculus, Differentiability, Instantaneous Rate of Change 미적분 微積分、도함수 導関数、순간변화율 瞬間変化率

6. Rectangles, Length of each side of a rectangle 직사각형 矩形、직사각형의 변의 길이直方体の側の長さ Major axis & Minor Axis of an Ellipses 타원의 장축과 단축 楕円の長軸・短軸

7. Equation of a circle, radius, diametre 원의 방정식 円の方程式、반지름 半径、지름 直径

8. Equation of an Ellipses, Major and Minor axes　타원의 방정식楕円の方程式

9. Regular Polygons, Geometry 정다각형 正多角形、기하학 幾何学

10. Sequence and Series 수열과 급수 数列と級数、Equation of a circle, radius, diametre 원의 방정식 円の方程式、반지름 半径、지름 直径、Proportional relations, Inverse  Proportional relations 비례, 반비례 比例、反比例 Rotation 회전 回転

11. Removing equations and functions (Specific Areas), 방정식과 함수 소거 (특정 구역), 方程式と関数の除去 (特定ゾーン)

12. Perpendicular foot, 수선의 발 垂直の足

13. Uniqueness of a cartesian coordinate, 평면 위 좌표의 유일함, 平面の上の座標の唯一さ

14. Translation with a translation vector 평행이동 平行移動

15. “Equal” and “Parallel”: Relation between Vectors and Scalars on 2D Cartesian Plate 평면에서의 벡터의 스칼라의 관계 2次元数ベクトルとスカラーの関係

“Perpendicular”: Perpendicular and Parallel relations between vectors(Lines), 벡터의 수직 수평, ベクトルの垂直・水平

“Tangent”: Tangent + Instantaneous Rate of Change, 한 점에서 접한다 (방정식) + 순간변화율, 接する + 瞬間変化率

“Coincident”: Coincident Lines, 선의 일치, 線の一致

“Midpoint”: Midpoint, 중점, 中点

“Concentric”: Concentric, 동심(同心), 同心(幾何学)

“Horizontal/Vertical”: Each parallel to the x-axis and y-axis, x축과 y축에 각각 평행, 個々x軸とy軸に平行

“Equal”: Same magnitude scalars (Condition) + Equality (Condition), 같은 크기의 스칼라 (조건) + 동치 (조건), 同じマグニチュードのスカラー量 (条件) + 合致 (条件)

“Symmetry”:  Symmetric Relations + Rotation, 대칭 관계 + 회전, 対称関係 + 回転

“Connect”: Continuity Relations of a function, 함수의 연속관계, 関数の連続関係

“Disconnect”: Discontinuity Relations of a function, 함수의 불연속관계, 関数の不連続関係

“Lock” and “Unlock”: Uniqueness of a cartesian coordinate, 평면 위 좌표의 유일함, 平面の上の座標の唯一さ

1. Pattern Constraints: (Sequence and Series 数列と級数 수열과 급수)+(Information above, 위 내용, 上の内容)

2. Make Regular: Dashed lines, 점선, 点線

3. 3D planes in vectors and scalars + Cubes + Mathematical Intuition vs Standardization, 3차원에서의 벡터와 스칼라 + 정육면체 + 수학적 직관 vs(대) 규격화, 3次元でのベクトルとスカラー量 +  立方体 + 数学的直観vs(対)規格化