Here are some equations you can use to create a visually appealing panda design in Desmos. You can copy and paste these directly into Desmos to create your panda. Please note that the functions combine linear, quadratic, and exponential forms to achieve the desired shapes.
// Panda Face
// Face
y = -0.03(x^2 - 100) + 50
// Ears
y = -0.02(x^2 - 36) + 70 {x < -6} // Left Ear
y = -0.02(x^2 - 36) + 70 {x > 6} // Right Ear
// Eyes
// White part of eyes
y = -0.01(x^2 - 4) + 45 {x < -2} // Left eye
y = -0.01(x^2 - 4) + 45 {x > 2} // Right eye
// Black part of eyes
y = -0.02(x^2 - 2) + 45 {x < -2} // Left pupil
y = -0.02(x^2 - 2) + 45 {x > 2} // Right pupil
// Nose
y = -0.5*(x + 2)(x - 2) + 38
// Mouth
y = 0.1*x - 0.5 {x < 0}
y = -0.1*x + 0.5 {x > 0}
// Cheeks
y = -0.1*(x + 10)(x + 8) + 48 {x < -8}
y = -0.1*(x - 10)(x - 8) + 48 {x > 8}
// Add a linear function for the lower part of the panda's face
y = 0.2*x - 12 {x > -10 & x < 10}
Breakdown of the Components:
- Panda Face: The main face of the panda created using a downward-opening quadratic function.
- Ears: Quadratic functions that create the rounded ears.
- Eyes: Quadratic functions that create the main shape of the eyes and pupils.
- Nose: A downward-opening quadratic that forms the nose.
- Mouth: Two linear functions that create the mouth.
- Cheeks: Additional quadratic functions for the rounded cheeks.
Make sure:
- You replace each equation in Desmos directly.
- Adjust the constants if necessary to fit your design expectations.
Tips for domain and range:
Since you specified not to use domain restrictions, the equations should work as is. You can visualize the function and make adjustments as needed directly in Desmos.
Reflection:
As you complete your design, think about how each of these functions contributes to the overall shape and character of the panda. Good luck with your project!