Kudu Horn

KUDU HORN, INSPIRED BY MATHEMATICS AND THE MASCOT FOR THE UNIVERSITY OF THE WITWATERSRAND.

For this design competition, I have created a kudu horn inspired by the elegant beauty of the logarithmic spiral equation. Using the computational design tool Beegraphy, I have captured the essence of both mathematical precision and natural form. This design is a tribute to the majestic kudu, a large and powerful African antelope known for its stunning annulated spiral horns.

Using a logarithmic spiral parametric equation and an additional linear equation in the Z vector direction, an interpolate spline was generated, perp frames were populated along the spline, and profile curves orientated on each perp plane. The profile curve is an arc driven by an angle and a radius, a straight-line connects the ends of the arc and a fillet was added. Using list manipulation, every second curve was scaled down to create the subsequent bumps on the lofted surfaces. This may help understand why sometimes the model breaks, there has to be some intricate balance between the parameters (work in progress).

PARAMETERS

Arc angle.

Fillet radius.

Number of profile curves.

Overall scale.

End profile scale.

Start profile scale.

Profile scale multiplier.

Bumps.