Illustrating mathematics using 3D printers

O Knill, E Slavkovsky - arXiv preprint arXiv:1306.5599, 2013 - arxiv.org
3D printing technology can help to visualize proofs in mathematics. In this document we aim
to illustrate how 3D printing can help to visualize concepts and mathematical proofs. As …

The life of Modern Homo Habilis Mathematicus: Experimental computation and visual theorems

J Monaghan, L Trouche, JM Borwein… - Tools and mathematics, 2016 - Springer
Long before current graphic, visualization and geometric tools were available, John E.
Littlewood (1885–1977) wrote in his delightful Miscellany: A heavy warning used to be given …

I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly

JM Borwein, ST Chapman - The American Mathematical Monthly, 2015 - Taylor & Francis
I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly Page
1 I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly …

Bayesian evidence accumulation in experimental mathematics: A case study of four irrational numbers

QF Gronau, EJ Wagenmakers - Experimental Mathematics, 2018 - Taylor & Francis
Many questions in experimental mathematics are fundamentally inductive in nature. Here
we demonstrate how Bayesian inference—the logic of partial beliefs—can be used to …

Pi Day is upon us again and we still do not know if Pi is normal

DH Bailey, J Borwein - The American Mathematical Monthly, 2014 - Taylor & Francis
The digits of π have intrigued both the public and research mathematicians from the
beginning of time. This article briefly reviews the history of this venerable constant, and then …

A closed-form solution might be given by a tree. Valuations of quadratic polynomials

L Almodovar, AN Byrnes, J Fink, X Guan, A Kesarwani… - Scientia, 2019 - revistas.usm.cl
The\(p-\) adic valuation of an integer\(x\) is the largest power of the prime\(p\) that
divides\(x\). It is denoted by\(\nu_p (x)\). This work describes properties of the …

Universal Plans: One Action Sequence to Solve Them All!

KG Timperi, AJ LaValle, SM LaValle - arXiv preprint arXiv:2407.02090, 2024 - arxiv.org
This paper introduces the notion of a universal plan, which when executed, is guaranteed to
solve all planning problems in a category, regardless of the obstacles, initial state, and goal …

One time pad and the short key dream

U Cerruti - arXiv preprint arXiv:2108.06981, 2021 - arxiv.org
This is a survey on the One Time Pad (OTP) and its derivatives, from its origins to modern
times. OTP, if used correctly, is (the only) cryptographic code that no computing power …

A random walk through experimental mathematics

EYS Chan, RM Corless - From Analysis to Visualization: A Celebration of …, 2020 - Springer
We describe our adventures in creating a new first-year course in Experimental Mathematics
that uses active learning. We used a state-of-the-art facility, called The Western Active …

Nonnormality of Stoneham constants

DH Bailey, JM Borwein - The Ramanujan Journal, 2012 - Springer
This paper examines “Stoneham constants,” namely real numbers of the form
b,c=n\geq11/(c^nb^c^n), for coprime integers b≥ 2 and c≥ 2. These are of interest …