G4G15 Gift Exchange
Title
G4G15 Gift Exchange
Description
Items and papers contributed as part of the Gift Exchange of the 15th Gathering 4 Gardner held February 21-25, 2024 in Atlanta, Georgia.
Collection Items
Combinatorial Jenga
We show that Jenga has interesting combinatorial properties, and we give a perfect winning strategy under the assumption that the players have perfect coordination.
Music Box Playing the Fibonacci Kecak
Recent Geometric Sculpture
This music box is structurally incapable of being rotated in reverse.
To hear the passage you just heard again, you would have to keep turning the crank for nearly five days without sleep or rest.
The title of this work is "El caja de música de…
To hear the passage you just heard again, you would have to keep turning the crank for nearly five days without sleep or rest.
The title of this work is "El caja de música de…
Color Contrast Contortions
We consider various combinatorial problems and puzzles that arise in trying to arrange squares of contrasting colors.
Apollonian Dreams
Water drops fall into a lake and create ripples. For a fleeting moment these rings show an Apollonian gasket. The physical gift will be a postcard with the picture.
What Symmetry?
It's a puzzle. A single solid object where the goal is to figure out what symmetry it has.
Hazmat Cargo 2
Hazmat Cargo 2 is a follow up to my Hazmat Cargo puzzle. The paper will detail the pieces and the rules and discuss a bit of the history behind the puzzle.
Finding a Four Leaf Clover
People may think computer punch cards are obsolete, but their durable form factor mean they are a fascinating snapshot into how people stored data and wrote programs over fifty years ago. I've acquired several boxes of punch cards which were used in…
Spotted It! -- Strategies to Win Dobble
Dobble or Spot It! Is a game created by Blue Orange Games for two up to eight players. In the game the players have to find symbols in common between cards. The mathematics of the game is surprisingly interesting and several papers have been…
Conway's Circle Theorem: A Proof Without Words
Conway's Circle Theorem states that six specific points on the extended edges of a triangle lie in a circle centred on the triangle's incentre. These pictures explain why.
Square-it-Up
My gift is called Square-it-up. 5 perforated cards will reveal a message when they are aligned correctly.
Common Net Database
Polyhedra can be unfolded to form nets. Counterintuitively some nets can be folded to form different polyhedra by changing the way we fold the same net.
This fenomenon as been extensively studied for some types of polyhedra (usually with regular…
This fenomenon as been extensively studied for some types of polyhedra (usually with regular…
10 Great Revolutions in Mathematics: Suggestsion for Engaging Math Students
How to engage middle-school and high-school students in mathematics has long been a topic of interest to math teachers. The traditional curriculum is often seen as dry, boring, and irrelevant by those students who have not already been exposed to…
Martin Gardner Scrabblegram Bookmark
A bookmark featuring a tribute to Martin Gardner using each of the 100 Scrabble tiles exactly once.
Shelburne Falls Factory Photograph
Abstract photograph derived from a photograph of a factory in Shelburne Falls, MA. The photograph will be printed on 8.5" x 11" paper, in a protective sleeve, and can be cut to 8.5" square for framing. Some background information on the making of…
String Art Cardioid
I will provide a 3d-printed object and a small amount of string that can be used to make a cardioid.
The Epolenep Principle (Restacked)
Explanation and applications of a mathematical principle for hands-off self-working card magic
ROOT(Math Success) = Childhood + Concrete Analogs + Challenges
In the spirit of G4G, Zone Proxima offers the opportunity for adults (parents, caregivers, educators, and philanthropists) to improve individual and collective mathematics achievement. Zone Proxima Math inspires young children to solve mathematics…
Dragon Riders Puzzle Postcard
A postcard with a puzzle on it - how to make the two riders ride their dragons the right way up?
The Hilbert Curve and the Thue-Morse Sequence
The Hilbert Curve comprises multiple, smaller-scale Hilbert Curves. At each scale, each sub-curve is oriented either horizontally or vertically, all piecewise-connected into a continuous traversal of the square. We show (without words) that the…
Collection Tree
- G4G15 Gift Exchange
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