Snowflake Modeling


Source: Bentley Snowflake

Type: Investigation

Theme: Nature

Grades: 5, 6, 7, 8, 9, 10

Learning Target: Students will model snowflake formation using multiple media types.

Instructions

For this investigation each student group will: 

  1. Choose two of the following methods to model snowflakes: 

    1. Paper folding and cutting

    2. Desmos Calculator model

    3. Desmos Geometry model

    4. SCAD model

    5. Geogebra model

    6. An animation of falling snow

    7. Coding method of your choice

  2. Investigation will include:

    1. A Sway or PowerPoint project.

    2. Two six-sided snowflake models (see options above).

    3. One well-written paragraph describing how your model patterns after nature.

    4. A list of resources.

  3. Select a partner for your group. You may work independently.

Resources

SCAD Starting Code:

//variables
scale = 2;
radius = 0.5;
adjust_rotation = 3;
//try changing intersection to difference
intersection() {
    union(){
        for (a =[1:6]) {
            rotate([0,0,60*a])translate([2, 0, 0])
            rotate_extrude(convexity = 10)
            translate([2, 0, 0])
            circle(r = radius);
        }
    }  
   scale([scale,scale,1])union(){
        for (a =[1:6]) {
            rotate([0,0,60*a + adjust_rotation])
            translate([2, 0, 0])
            rotate_extrude(convexity = 10)
            translate([2, 0, 0])
            circle(r = radius);
        }
    }
}
Exit Ticket
CCSS Math Practice
  • I can model with mathematics.
NGSS Crosscutting Concepts
  • Patterns
  • Systems and System Models
  • Structure and Function

Samples

Snowflakes in Math
Snowflakes with Desmos Geometry
Diaz's Snowflakes