Triangle piercing: Difference between revisions

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{{Short description|Mathematical problem involving triangles}}
== Triangle Piercing ==
{{Use dmy dates|date=October 2023}}


[[File:Nap08 694.jpg|thumb|right|A visual representation of the triangle piercing problem.]]
[[File:Nap08_694.jpg|thumb|right|A triangle piercing]]
'''Triangle piercing''' is a problem in [[combinatorial geometry]] that involves determining the minimum number of points required to "pierce" or "stab" all triangles in a given family of triangles. This problem is a specific case of the more general problem of finding a [[transversal]] for a family of sets.


==Problem statement==
A '''triangle piercing''' is a type of [[body piercing]] that is located at the base of the [[clitoris]], where the inner labia meet the clitoral hood. This piercing is named for its triangular shape, which is formed by the jewelry as it passes beneath the clitoral shaft.
The triangle piercing problem can be formally stated as follows: Given a family of triangles in the plane, find the smallest set of points such that each triangle in the family contains at least one of these points. The points are said to "pierce" the triangles.


==Historical background==
== Anatomy and Placement ==
The problem of triangle piercing is a variant of the [[hitting set problem]], which is a well-known problem in [[computer science]] and [[operations research]]. The triangle piercing problem is particularly interesting in the context of [[computational geometry]], where it has applications in areas such as [[sensor networks]] and [[geographic information systems]].


==Mathematical formulation==
The triangle piercing is unique because it is placed horizontally behind the clitoral shaft, rather than through the clitoral hood itself. This requires a precise understanding of the individual's anatomy, as not everyone has the suitable anatomy for this piercing. The piercer must ensure that there is enough tissue to support the jewelry and that the piercing does not interfere with the clitoris itself.
Let \( \mathcal{T} \) be a family of triangles in the plane. A set \( P \) of points is called a piercing set for \( \mathcal{T} \) if every triangle \( T \in \mathcal{T} \) contains at least one point from \( P \). The goal is to find a piercing set of minimum cardinality.


==Applications==
== Procedure ==
Triangle piercing has applications in various fields, including:
* [[Wireless sensor networks]]: Ensuring coverage of a region by placing the minimum number of sensors.
* [[Geographic information systems]]: Efficiently managing spatial data by reducing redundancy.
* [[Computer graphics]]: Optimizing rendering by minimizing the number of necessary calculations.


==Related problems==
The procedure for a triangle piercing involves the following steps:
The triangle piercing problem is related to several other problems in combinatorial geometry, such as:
* The [[set cover problem]], where the goal is to cover a universe of elements with the fewest number of sets.
* The [[art gallery problem]], which involves determining the minimum number of guards required to cover an art gallery.


==Related pages==
# The piercer will first examine the anatomy to ensure suitability for the piercing.
* [[Combinatorial geometry]]
# The area is then cleaned and marked for accuracy.
* [[Hitting set problem]]
# A hollow needle is used to create the piercing channel.
* [[Set cover problem]]
# Jewelry, typically a curved barbell or captive bead ring, is inserted into the piercing.
* [[Art gallery problem]]


==References==
== Jewelry ==
* Matou_ek, J. (2002). ''Lectures on Discrete Geometry''. Springer-Verlag.
* Pach, J., & Agarwal, P. K. (1995). ''Combinatorial Geometry''. Wiley-Interscience.


[[Category:Combinatorial geometry]]
[[File:Nap08_694.jpg|thumb|left|Close-up of a triangle piercing]]
[[Category:Computational geometry]]
 
The most common types of jewelry used for triangle piercings are:
 
* '''Curved barbells''': These are often preferred for their comfort and ease of healing.
* '''Captive bead rings''': These can also be used, depending on personal preference and anatomy.
 
== Healing and Aftercare ==
 
Healing time for a triangle piercing can vary, but it typically takes between 6 to 8 weeks. Proper aftercare is crucial to prevent infection and ensure proper healing. Aftercare instructions generally include:
 
* Cleaning the area with saline solution twice daily.
* Avoiding sexual activity for at least 4 to 6 weeks.
* Avoiding tight clothing that may irritate the piercing.
 
== Risks and Considerations ==
 
As with any body piercing, there are risks involved with a triangle piercing, including:
 
* '''Infection''': Proper hygiene and aftercare are essential to prevent infection.
* '''Rejection or migration''': If the jewelry is not suited to the individual's anatomy, it may migrate or be rejected by the body.
* '''Nerve damage''': Although rare, improper placement can lead to nerve damage, affecting sensation.
 
== Related Pages ==
 
* [[Body piercing]]
* [[Clitoral hood piercing]]
* [[Genital piercing]]
 
[[Category:Body piercings]]

Latest revision as of 11:32, 15 February 2025

Triangle Piercing[edit]

A triangle piercing

A triangle piercing is a type of body piercing that is located at the base of the clitoris, where the inner labia meet the clitoral hood. This piercing is named for its triangular shape, which is formed by the jewelry as it passes beneath the clitoral shaft.

Anatomy and Placement[edit]

The triangle piercing is unique because it is placed horizontally behind the clitoral shaft, rather than through the clitoral hood itself. This requires a precise understanding of the individual's anatomy, as not everyone has the suitable anatomy for this piercing. The piercer must ensure that there is enough tissue to support the jewelry and that the piercing does not interfere with the clitoris itself.

Procedure[edit]

The procedure for a triangle piercing involves the following steps:

  1. The piercer will first examine the anatomy to ensure suitability for the piercing.
  2. The area is then cleaned and marked for accuracy.
  3. A hollow needle is used to create the piercing channel.
  4. Jewelry, typically a curved barbell or captive bead ring, is inserted into the piercing.

Jewelry[edit]

Close-up of a triangle piercing

The most common types of jewelry used for triangle piercings are:

  • Curved barbells: These are often preferred for their comfort and ease of healing.
  • Captive bead rings: These can also be used, depending on personal preference and anatomy.

Healing and Aftercare[edit]

Healing time for a triangle piercing can vary, but it typically takes between 6 to 8 weeks. Proper aftercare is crucial to prevent infection and ensure proper healing. Aftercare instructions generally include:

  • Cleaning the area with saline solution twice daily.
  • Avoiding sexual activity for at least 4 to 6 weeks.
  • Avoiding tight clothing that may irritate the piercing.

Risks and Considerations[edit]

As with any body piercing, there are risks involved with a triangle piercing, including:

  • Infection: Proper hygiene and aftercare are essential to prevent infection.
  • Rejection or migration: If the jewelry is not suited to the individual's anatomy, it may migrate or be rejected by the body.
  • Nerve damage: Although rare, improper placement can lead to nerve damage, affecting sensation.

Related Pages[edit]