The cost of fencing can vary widely based on several factors, including the type of material used, the style and design of the fence, the height, the quality of the materials, and the region where you live. Some types of fencing are more expensive than others due to their materials, complexity, or customization options. Here are some of the most expensive types of fencing:

1. Ornamental Metal Fencing: Ornamental metal fencing, such as wrought iron or aluminum, is often among the most expensive fencing options. These fences are known for their decorative and elegant appearance. The cost can be high due to the craftsmanship required for intricate designs and the durability of the materials.
2. Custom Wood Fencing: Custom-designed and crafted wood fencing can be quite costly, especially if it features intricate patterns, carvings, or unique architectural elements. High-quality wood species, such as cedar or redwood, can also increase the cost.
3. Stone or Masonry Fencing: Stone or masonry fencing, such as brick or stone walls, is a premium fencing option that can be very expensive. The cost is primarily driven by the cost of the materials and labor required for construction.
4. Vinyl Privacy Fencing: While vinyl fencing is generally considered more affordable than some other materials, high-end vinyl privacy fences with decorative accents or unique designs can be relatively expensive.
5. Composite Fencing: Composite fencing is a combination of wood fibers and plastic, offering the appearance of wood with the durability of plastic. High-quality composite fencing can be more expensive than traditional wood fencing.
6. High-Security Fencing: Fencing designed for high-security purposes, such as anti-climb or anti-cut fencing, can be expensive due to specialized materials and construction methods.
7. Glass Fencing: Glass fencing, commonly used around swimming pools or in contemporary designs, can be costly. It provides a sleek and transparent appearance but requires specialized materials and installation.
8. Bamboo Fencing: Bamboo fencing, while not as expensive as some other options on this list, can be relatively pricey when using high-quality bamboo and specialized installation techniques.
9. Decorative Concrete Fencing: Decorative concrete fencing involves the use of precast concrete panels with decorative designs or patterns. This type of fencing can be expensive due to the customization and materials used.

While these fencing options are generally more expensive, they often come with advantages such as durability, longevity, and a unique appearance. The cost of fencing can also vary significantly based on location, local labor rates, and any additional features or customizations you choose.

When planning your fencing project, consider your budget, the purpose of the fence, and the aesthetic you desire. Obtain multiple quotes from fencing contractors to get a better idea of the costs specific to your location and project requirements.