Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Covering of objects related to rupert property
View through CrossRef
One problem related to covering problem is whether one object has Rupert property. An object K in R³ has the Rupert property if a hole could be cut through one copy of K with the same size to permit another copy to pass through it. There are objects in R³ which have Rupert property, such as a cube. But not all of objects in R³ has Rupert property, such as a sphere. It is interesting to check that a given object has Rupert property. In this work, we construct useful lemmas for studying this problem. Furthermore, we apply these lemmas to show that most of the 13 Archimedean solids have Rupert property by numerical optimization.
Title: Covering of objects related to rupert property
Description:
One problem related to covering problem is whether one object has Rupert property.
An object K in R³ has the Rupert property if a hole could be cut through one copy of K with the same size to permit another copy to pass through it.
There are objects in R³ which have Rupert property, such as a cube.
But not all of objects in R³ has Rupert property, such as a sphere.
It is interesting to check that a given object has Rupert property.
In this work, we construct useful lemmas for studying this problem.
Furthermore, we apply these lemmas to show that most of the 13 Archimedean solids have Rupert property by numerical optimization.
Related Results
Rupert property of some solids in higher dimensions
Rupert property of some solids in higher dimensions
We say that a solidS has the Rupert property if a hole could be cut into one copy of S so that another copy of S can be passed through this hole. In recent years, many solids in R$...
Effect of property management on property price: a case study in HK
Effect of property management on property price: a case study in HK
PurposeIt has been said that people's expectation towards their living space has been increased. They have a higher requirement not only for the facilities it provides, but also fo...
In Search for Sustainable Property Relations
In Search for Sustainable Property Relations
As we move into the twenties of the new millennium there is ample evidence that we are in a climate crisis. Although this is not the first crisis of this century it is certainly m...
LEGAL ASPECTS OF INTELLECTUAL PROPERTY AND MANAGEMENT TOOLS
LEGAL ASPECTS OF INTELLECTUAL PROPERTY AND MANAGEMENT TOOLS
This study examines the legal aspects of intellectual property (IP) and management instruments. It is demonstrated that intellectual property represents the outcome of an individua...
Progressive Property and Animal Law
Progressive Property and Animal Law
Traditional notions of property law tend to focus on the owner and define property as the owner’s “sole and despotic dominion.” In contrast, recent progressive property scholarship...
Openwork in Early Islamic Metalwork from Khorasan and Transoxiana
Openwork in Early Islamic Metalwork from Khorasan and Transoxiana
Metalwork from Khorasan is a well-known magnitude in the history of Islamic art. Thanks to the large number of metal objects from this region, and due to the studies carried out on...
Property rights in martial law
Property rights in martial law
The article is devoted to the study of property rights in martial law, the definition of «forced alienation of property» and «seizure of property», reveals their characteristics.
...
The Great American Property Tax Freak Out
The Great American Property Tax Freak Out
<div>
There has been a lot of news over the last two years, so it is understandable that neither the mass media nor the legal academy has focused on what is happening with t...