Shapr3D education syllabus (2D + 3D)
Extended to 3D in August 2023
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
Drawing Lines (Touch, endpoint, exit sketching)
Drawing Arcs (2 points, exit sketching) Exit is usual
Lines and Arcs Pen version (Automatic recognition, dimensional label, Arc (Wiggle vs menu, Radius angle definition, close the shape)
Move and rotate sketches (Sketch, rotate) (Gizmo tool, Copy badge) (Edge regions dragging)
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)
Drawing Rectangles (Centre, Diagonal, 3-point sides)
Drawing Circles (Circle annotation, diameter, radius)
Drawing Ellipses (First axis and second axis)
Drawing Polygons (Select type, Move outer vertex, Define the number of sides, the length between origin)
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)
Trimming Sketches (Select trim, Select unwanted segments, unselected area or backspace to finish)
Introduction to Constraints (Constraints setting) (Sketch menu) (Auto Constraint) (Show all VS Selection-based)
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))
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)
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)
Using pattern constraints (Pattern Changing, break pattern for individual change)
Making Construction Geometries (Select Sketch, Select one sketch element, Make construction, dashed line, to return-Make Regular)
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
Linear function, line function 직선의 방정식 直線の方程式、線の式
Calculus 미적분 微積分
Calculus
Drawing figures 작도 作図、Calculus 미적분 微積分
Calculus, Differentiability, Instantaneous Rate of Change 미적분 微積分、도함수 導関数、순간변화율 瞬間変化率
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
Equation of a circle, radius, diametre 원의 방정식 円の方程式、반지름 半径、지름 直径
Equation of an Ellipses, Major and Minor axes 타원의 방정식楕円の方程式
Regular Polygons, Geometry 정다각형 正多角形、기하학 幾何学
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
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)
Perpendicular foot, 수선의 발 垂直の足
Uniqueness of a cartesian coordinate, 평면 위 좌표의 유일함, 平面の上の座標の唯一さ
Translation with a translation vector 평행이동 平行移動
“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
Pattern Constraints: (Sequence and Series 数列と級数 수열과 급수)+(Information above, 위 내용, 上の内容)
Make Regular: Dashed lines, 점선, 点線
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
12th of July 2023, planned by Youngseong Yun
2nd edit made on the 19th of July 2023, planned by Youngseong Yun
3rd edit made on the 8th of August 2023, planned by Youngseong Yun
3D Modelling in 3D space
Revolve (Create sketch(Least one), Set axis(Least one), select sketch, select axis, click revolve)
Boolean Tools (Union, Subtract, Intersect)
Sweep (at least two sketches (On Distinct Dimensions in perpendicular relations), Select path, Select Sketch, Sweep)
Project
Sketches (Require a sketch and a 3D object, Tap to select sketch, search for project tool, Tap to select bodies (Imprinted Body Edges / Sketches), Tap project)
Solids (Select the face of solid, Select face to project, With the same logic, Edges to faces curves...)
Loft: Transitions between sketches or profiles (Requires at least two sketches (Angle doesn’t matter), Select base sketch, create a copy of sketch (Not mandatory), Select sketches, click loft tool)
Draft angle: (Extrude, estimate Draft angle value)
Shell: (Select surface, click shell tool, estimate shell(wall) thickness value) (Case1: Plastic) (Case 2: Cup design) (Shell out faces vs Shell out whole body)
Helixes (Basically Revolve tool) (Least one sketch, Select axis, Click revolve, define height(Length) of rotation, d]efine angle) (Thread tool: Bolt and Nuts)
Replace face: (Select face to replace, Click More, Click Replace face, Select face to replace “WITH”, Done Check)
Construction Planes: (Adding Plane vs Existing surfaces) (Tap add, Click Construction plane, Select type, Mirror tool)
Construction Axes: (Select object, Select axis, Rotate around axis) (Add, Construction axes, 5 Methods, Done)
Colour: (Select body, Colour, Spectrum(Colour, Opacity), Default Colour)
Mathematical concepts used and related
Rotation, Initial Line, sectional view, trigonometry, Radius vector, Symmetry
회전, 시초선, 단면도, 삼각함수, 동경, 대칭
回転、始線、断面図、三角関数、動径（後光ベクトル）、対象
Set, Element of a set, Union of Set , Intersection of Set, Subtraction Set, Complement Set 집합, 집합의 원소, 합집합, 교집합, 차집합, 여집합 集合、集合の要素、和集合、共通集合（積集合）、差集合、余集合 (화학 원소 모양, 혹은 벤 다이어그램이 구 두개)
Functions, Lines, Scalars, Vectors, Polygons, Symmetry, Elements in a Set of points in same distance 함수, 선분, 스칼라량, 벡터, 다각형, 대칭, 등거리에 위치한 원소들의 집합 関数、線分、スカラー量、ベクトル、多角形、対称、等距離に位置する要素等の集合
Translation with translation vector, Set Operations, equation of a plane, Calculus 평행이동, 집합의 연산, 평면 방정식, 미적분 平行移動、集合の計算、平面方程式、微積分
Calculus, Differential Quadrature 미적분, 구분구적법 微積分、 区分求積法
Angle between two vectors, 두 벡터 사이의 각도, 연장선, 사다리꼴,
Similarity(Geometry), Calculus 닮음(기하학), 미적분 図形の相似, 微積分
Trigonometry, Initial Line, Radius Vector, 삼각함수, 시초선, 동경, 三角関数、始線、動径（後光ベクトル）
Calculus, Differential Quadrature 미적분, 구분구적법 微積分、 区分求積法
Equation of a Plane in 3D, Symmetry삼차원 상의 평면의 방정식, 대칭 3次元上での平面の方程式、対象
Axis, Rotation, Equation of a Plane 축, 회전, 평면 방정식 軸、回転、平面方程式
RGB cartesian plate, Argand plane RGB 색상 데카르트 평면, 복소평면 直交座標系、複素平面
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