Period data for rectangles tiled with two squares of size H.

NIAID Data Ecosystem2026-05-02 收录

矩形平铺

组合几何

数据链接：

https://figshare.com/articles/dataset/Period_data_for_rectangles_tiled_with_two_squares_of_size_H_/26542157 数据链接链接失效反馈

官方服务：

资源简介：

Period data for rectangles tiled with two squares of size H.

创建时间：

2024-08-12

An upper bound for the Erd\H{o}s unit distance problem in the plane

组合几何

数学问题

In this paper, using the method of compression, we prove a stronger upper bound for the Erd\H{o}s unit distance problem in the plane... #find the complete abstract in the attached file

DataCite Commons2024-05-17 更新100

Remarks on monochromatic configurations for finite colorings of the plane

组合几何

单色配置问题

Gurevich had conjectured that for any finite coloring of the Euclidean plane, there always exists a triangle of unit area with monochromatic vertices. Graham ([5], [6]) gave the first proof of this co

DataCite Commons2020-08-02 更新50

모든 경우 탐색을 통한 거버 소파 문제와 듀드니 퍼즐 증명

几何优化

组合几何

Gerver의 소파 문제 및 듀드니 퍼즐의 공통 증명: 기하학적 해 공간 분석을 통한 완전한 해법 1. 서론 본 연구는 서로 다른 두 기하학적 문제인 Gerver의 소파 문제와 듀드니 퍼즐을 공통된 접근법을 통해 모두 완전하게 증명한 결과를 제시한다. Gerver의 소파 문제는 복도를 통과하는 최대 면적의 소파를 찾는 최적화 문제이며, 듀드니 퍼즐

Zenodo2025-03-12 更新20

ALMOST SQUARING THE SQUARE: OPTIMAL PACKINGS FOR NON-DECOMPOSABLE SQUARES

包装设计

组合几何

ABSTRACT We consider the problem of finding the minimum uncovered area (trim loss) when tiling non- overlapping distinct integer-sided squares in an N × N square container such that the squares are pl

DataCite Commons2022-11-26 更新80

all_sigs_11.bz2

等边三角形分割

组合几何

Enumeration of all equilateral triangle dissections of the specified order.

NIAID Data Ecosystem30