In this grasshopper definition by Martyn Hogg,  you can model a weaving basket. You can select number of weaves in X or Y directions for a flat surface. Similarly, U and V divisions on a curved surface. It also works on a loft through curves.

# Loxodrome

In this grasshopper definition by Laurent DELRIEU you can model a symetric loxodrome on a sphere. It simply can be done in any revolution object. Laurent used equations from a wikipedia page.

# Undulant Portrait

In this grasshopper definition by Junichiro Horikawa you can model an undulant portrait using Image Sampler.

# Cycloid

This grasshopper example by Tuğrul Yazar is a Cycloid-like family of curves, generated by its classical description: a rolling circle. There’s no need to roll the circle but divide its path, utilizing data lists to simply rotate and evaluate it.

# Mesh Color

The Mesh Color definition by  Curvature applies a vertex color based on the average or upper value of the angles between adjacent faces.

# Triangle Holes

In this grasshopper definition by Junichiro Horikawa you can model a triangular 3D pattern.

# Spiral Staircase

Luis Gil who is currently a candidate for a Master in Design Studies (MDesS) degree at Harvard University’s Graduate School of Design, developed a useful tool to dynamically create and edit staircases via Grasshopper.

# Gosper-Peano Curve

Here, Tuğrul Yazar studied a space-filling fractal called Gosper-Peano curve. You should have Anemone components installed in order to run this definition. The generator curve is a special one.

# Wavy Joint

In this grasshopper definition by Junichiro Horikawa you can model a series of wavy like curves with different distribution along the X axis.

# Hitomezashi Pattern

The definition by Co-de-iT creates a specific Hitomezashi pattern.There are a Nurbs and a Mesh version of it.code by Andrea Graziano & Alessio Erioli, Co-de-iT 2020.

# The Golden Section

This example file by designcoding.net deals with the Golden Ratio.The rectangles whose dimensions were determined rotates around a center. this has been done by adding a rotation pattern.