Level 4-5
Spiral Art
Create an artistic composition using waves, polar curves, and trigonometric functions.
0 /24 Stars
0 /8 Tasks
Tasks
Pick a challenge to start creating. Earn up to 3 stars per task!
Use 2+ sine waves (one inverted) to create a smile curve. Task 1
Create Use polar equations to draw a heart/cardioid shape. Task 2
Create Draw a 3-petal rose using r = a·cos(3θ). Task 3
Create Draw a 5-petal rose and layer a circle in the center. Task 4
Create Layer 6+ petals using polar roses at different rotations. Task 5
Create Use sine waves and lines to create a wavy text effect. Task 6
Create Combine an Archimedean spiral with a polar rose for a galaxy effect. Task 7
Create You’re a wave artist! Compose anything using waves, polar curves, and trig functions. Task 8
Create Start with Sine Smile to create a smile curve using sine waves. Progress through hearts, roses, daisies, and galaxies using y = a·sin(b·x) for waves and r = a·cos(nθ) for polar roses.
Tip: A cardioid r = 1 - sin(θ) makes a heart, polar roses create flowers, and layering an Archimedean spiral r = aθ with a rose makes a galaxy!