The lazy caterer's problem
Splet17. avg. 2024 · Title: Lazy caterer jigsaw puzzles: Models, properties, and a mechanical system-based solver. Authors: Peleg Harel, Ohad Ben-Shahar. Download PDF Abstract: Jigsaw puzzle solving, the problem of constructing a coherent whole from a set of non-overlapping unordered fragments, is fundamental to numerous applications, and yet … SpletThe Lazy Caterer's sequence. The Lazy Caterer's Sequence, f ( n), describes the maximum number of pieces a circular pizza can be divided into with an increasing number of cuts, …
The lazy caterer's problem
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SpletThe lazy caterer's sequence, more formally known as the central polygonal numbers, describes the maximum number of pieces of a disk (a pancake or pizza is usually used to describe the situation) that can be made with a given number of straight cuts. For example, three cuts across a pancake will produce six pieces if the cuts all meet at a common … SpletAbstract. This paper develops a one-pass transportation solution that solves the Caterer Problem with a fixed number of new napkins. It provides conditions for determining when this solution can be improved by changing the number of purchased napkins. This approach leads to a simple method of solving the Caterer Problem by treating the fixed ...
Splet09. feb. 2024 · lazy caterer’s sequence Given a pancake (or a circle), how can one cut n pieces (not necessarily of the same size) with the minimum number of cuts? For … SpletPrimeFan 23:11, 14 Jun 2005 (UTC) I never heard of "lazy cater's sequence" until now, despite working with various sequences. That name sounds unprofessional to me. I guess that, historically, the name must be "central polygonal numbers", with "lazy cater's sequence" a catchy pop name made up later. If so, I'd prefer to rename the article ...
Splet- "Lazy caterer jigsaw puzzles: Models, properties, and a mechanical system-based solver" Figure 27: The reconstruction results tested on four data sets of 10 random puzzles each, … SpletJigsaw puzzle solving, the problem of constructing a coherent whole from a set of non-overlapping unordered fragments, is fundamental to numerous applications, and yet …
SpletThe lazy caterer's sequence, more formally known as the central polygonal numbers, describes the maximum number of pieces of a disk (a pancake or pizza is usually used to …
Splet04. nov. 2024 · I cheated and looked up Lazy Caterer's algorithm on Wikipedia. This is an implementation of the simplistic version of the formula: create or replace function lc_algo (n in number) return number as begin return (power (n,2) + n + 2) / 2; end; / I admit it doesn't use a loop, but it's hard to see why anybody would need to. elecraft coversSpletThe lazy caterer's sequence, more formally known as the central polygonal numbers, describes the maximum number of pieces of a disk (a pancake or pizza is usually used to … food packaging trade showSplet17. avg. 2024 · Here we formalize a new type of jigsaw puzzle where the pieces are general convex polygons generated by cutting through a global polygonal shape with an arbitrary … food packaging testing methods pdfSpletWrite a program that will read a decimal number n and find the n-th term of the Lazy Caterer's Sequence (250>=n>=0). The Lazy Caterer's Sequence: the maximum number of … elecraft ham radioSpletJigsaw puzzle solving, the problem of constructing a coherent whole from a set of non-overlapping unordered fragments, is fundamental to numerous applications, and yet … elecraft downloadsSpletThe lazy caterer's sequence, more formally known as the central polygonal numbers, describes the maximum number of pieces of a disk (a pancake or pizza is usually used to … food packaging technologySpletCentral polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. ... p. 72, Problem 2. Henry Ernest … elecraft firmware