Exercises
Multiple Choice
Articles
Open Problems
Login
3 items
Tagged:
tiling
x
Start over
- to expand, or dig in by adding more tags and revising the query.
Sort By:
trending ▼
date
1
Undergraduate
By
Shiva Kintali
on Sept. 27, 2013 | Updated Jan. 4, 2018
Fibonacci numbers and Induction
The Fibonacci numbers, \(F_0, F_1, F_2, \dots\) , are defined recursively by the equations \(F_0 = 0\), \(F_1 = 1\), and \(F_n = F_{n-1} + F_{n-2},\) for \(n > 1\). Prove that …
Mathematics
Discrete Mathematics
fibonacci
induction
tiling
0
High School
By
Shiva Kintali
on May 19, 2013 | Updated Dec. 6, 2017
Cutting Corners
Prove that removing opposite corner squares from an \(8 \times 8\) chessboard leaves a subboard that cannot be partitioned (tiled) into \(1 \times 2\) and \(2 \times 1\) rectangles. Prove the ab…
Mathematics
Puzzles
Graph Theory
Puzzles
interview question
tiling
0
Undergraduate
By
Shiva Kintali
on June 16, 2012 | Updated Dec. 6, 2017
L shaped tiling
Consider a \(2^n × 2^n\) board with one (arbitrarily chosen) square removed, as in the following figure for \(n = 3\). Prove that any such board can be tiled (without gaps or overlaps) by \(L\)-shaped…
Puzzles
Puzzles
induction
tiling
icon
Sign In or Sign Up
icon
Invite Friends
Post Something
x
Select What You'd Like To Post
POST AN ARTICLE
POST AN OPEN PROBLEM
POST AN EXERCISE
POST A MULTIPLE-CHOICE QUESTION
Content Types
Articles
Open Problems
Exercises
Multiple-Choice Questions
Levels
High school
Undergraduate
Graduate
Subjects
Mathematics
Computer Science
Puzzles
Optimization
Trending tags
np
reduction
sat
linear time algorithms
read once
amortized analysis
primes
bipartite graph
matching
depth first search
Topics
Algebra
Algorithms
Approximation Algorithms
Calculus
Combinatorial Optimization
Combinatorics
Complexity Theory
Data Structures
Discrete Mathematics
Game Theory
Geometry
Graph Theory
Linear Algebra
Linear Programming
Logic
Mathematical Analysis
Mathematics
Matrix Theory
Number Theory
Optimization
Probability
Programming
Puzzles
Randomized Algorithms
Real Analysis
Trigonometry
×