Please enable JavaScript.

Coggle requires JavaScript to display documents.

Geometry (Understanding space (Three-Dimensional forms (Non polyhedra…

- - - - Properties
        
        Volume (think of how much water it could hold)
        
        Surface area (think of the area you would have to paint)
        
        How many vertices (corner points), faces and edges they have.
      - Parts
        
        Edges
        
        Lines where edges meet.
        
        Vertex
        
        Corners where edges meet.
        
        Face
        
        Sides of a polyhedron.
      - Examples
        
        Cube, prism or pyramid. Cones, spheres, and cylinders are not polyhedrons because they have surfaces that are not polygons.
      - Platonic Solids
        
        They are the only polyhedra whose faces are all exactly the same. The same number of faces meet at each vertex. Every vertex has the same number of adjacent faces.
        
        Examples
        
        Tetrahedron
        
        A 4-faced polyhedron and all the faces are equilateral triangles.
        
        Hexahedron
        
        A 6-faced polyhedron and all the faces are squares.
        
        Octahedron
        
        An 8-faced polyhedron and all the faces are equilateral triangles.
        
        Dodecahedron
        
        A 12-faced polyhedron and all the faces are regular pentagons.
        
        Icosahedron
        
        A 20-faced polyhedron and all the faces are equilateral triangles.
    - - Non-polyhedra describes any geometric solid that has any surface that is not flat.
      - Sphere
        
        It has no edges or vertices (corners).
        
        All points on the surface are the
        same distance "r" from the center.
        
        It is perfectly symmetrical.
        
        It has one surface.
      - Cylinder
        
        The base is the same as the top.
        
        From base to top the shape stays the same.
        
        It has a flat base and a flat top.
        
        It has one curved side.
      - Cone
        
        The pointy end of a cone is called the apex.
        
        The flat part is the base.
        
        It has one curved side.
      - Torus
        
        It has no edges or vertices.
        
        It can be made by revolving a small circle (radius r) along a line made by a bigger circle (radius R).
    - - Serial Planes
        
        Each serial plane can be considered as a unit form which may be used either in repetition or in gradation.
        
        Repetition
        
        Repetition refers to repeating both shape and size of the unit
        forms.
        
        Gradiation
        
        Gradation refers to gradual variation of the unit form, and it can be used in three different ways.
        
        Gradation of shape but repetition of size.
        
        Gradation of both shape and size.
        
        Gradation of size but repetition of shape.
        
        The position of each plane can be gradually upwards
        or downwards. Can be varied in 3 different ways.
        
        Rotation on a vertical axis.
        
        Rotation on a horizontal axis.
        
        Rotation on its own plane.
      - Directional Variation
        
        Can form a shape with curves left
        and right.
        
        Rotation on a horizontal axis
        
        Can be arranged in radiation direction.
        
        Rotation on its own plane
        
        The planes can be curled or bent.
        
        If one plane follows another in a straight manner, then the two vertical edges of the planes trace two parallel straight lines.