Simon Tatham's Portable Puzzle Collection. Introduction This page contains a collection of small computer programs which implement one-player puzzle games.

All of them run natively on Unix (GTK), on Windows, and on Mac OS X. They can also be played on the web, as Java or Javascript applets. Can you solve it? The whisky puzzle that will have you on the rocks. Hello guzzlers.

If you are now abstaining from alcohol, as many end-of-year over-indulgers do, today’s puzzle is for you. Here’s a full whisky bottle. Can You Solve The Horse Grazing Area? Sunday Puzzle – Mind Your Decisions. A horse is tied to an outside corner of a 20 foot by 10 foot rectangular barn.

What is the maximum area the horse can graze outside, if the rope has length L? Solve for L = 5 feet and L = 25 feet, and find the exact answer. If you are up for a challenge, solve for L = 50 feet. You can solve for the answer to 3 decimal places. Can You Solve The Diluted Wine Puzzle? Famous 16th Century Math Problem – Mind Your Decisions. A servant has a method to steal wine.

He removes 3 cups from a barrel of wine and replaces it with 3 cups of water. The next day he wants more wine, so he does the same thing: he removes 3 cups from the same barrel (now with diluted wine) and replaces it with 3 cups of water. Tanya Khovanova's Math Blog » Blog Archive » Who Is Left? Centaurs, manticores, and minotaurs roam their planet.

Their society is very democratic: any two animals can become sex partners. When two different species mate, their orgasm is so potent that they merge into one creature of the third species. For example, once one centaur and one manticore make love, they are reborn as one minotaur. At the beginning of the year 2016 there were 2016 centaurs, 2017 manticores, and 2018 minotaurs. The Day After Tomorrow Is Yesterday Riddle – Mind Your Decisions. This problem is popular on Facebook and social media.

“When the day after tomorrow is yesterday, then today will be as far from Wednesday as today was from Wednesday when the day before yesterday was tomorrow. What day is today?” Can you figure it out? Watch the video for a solution. Μαθη...μαγικα: Καλοκαιρινό πρόβλημα νικητήριας στρατηγικής.... The Rectangle Ratio, A Surprising Answer – Sunday Puzzle – Mind Your Decisions. Start with a square with length 1; label it R1.

Create a new rectangle as follows: attach a rectangle of area 1 to the right side and then attach a rectangle of area 1 to the top side. The border of this shape is a new rectangle, R2. Starting with R2, we can attach another pair of rectangles of area 1 to form a new rectangle, R3. From Rn – 1, attach a rectangle of area 1 to the right side, and then a rectangle of area 1 to the top. The border of this shape is rectangle Rn. The problem is: what is the ratio of the length, Ln, to the width, Wn as n goes to infinity? Watch the video for a solution.

Math Arguments: 515: Pascal Proof. The Friendship Theorem – Sunday Puzzle – Mind Your Decisions. In a group of 6 people, you might find that some people are friends with each other on Facebook, or you might find that no one is friends with each other on Facebook.

There are many combinations for how people can be friends or not. Spies Sharing Secrets – Sunday Puzzle – Mind Your Decisions. On a successful mission, each spy obtains a secret piece of information.

The n spies need to share all their secrets with each other, which they accomplish through a series of phone calls between 2 spies at a time. During a call, a spy can share all the secrets the spy knows, including secrets learned from previous calls. Διασκεδαστικά Μαθηματικά: Το κυνήγι της πάπιας. An integer programming riddle. Avoiding The Troll – Sunday Puzzle – Mind Your Decisions. Every day you make a trip from A to B, 2 miles away.

But your trip is unpredictable. On 50% of the days, you can walk between A and B without any obstruction. The other 50% of the time, a troll appears at the halfway point, blocking your trip. The troll also activates an invisible barrier that blocks 1 mile perpendicularly in both directions, forcing you to walk around it to complete your trip. You cannot see the troll or the barrier until you are halfway from A to B, so you cannot plan in advance whether you need to walk around the barrier.

If you can walk in straight lines to any points between A and B, what is your best strategy so you walk the least distance on average? Watch the video for an answer.

Οι Βρύσες. Scribd. Σπαζοκεφαλιές και μαθηματικοί γρίφοι απο το ιστολόγιο μαθη..μαγικα (h… Nick's Mathematical Puzzles: Solution 90. Does there exist an integral power of 2 such that it is possible to rearrange the digits giving another power of 2? Numbers are written in standard decimal notation, with no leading zeroes. We argue by reductio ad absurdum. Suppose the digits of 2a can be rearranged to give 2b, where a < b.

Consider 2b − 2a. Mikesmathpage. Art of Problem Solving. About Careers Contact Log In / Join School Store Community Resources How Classes Work Course Catalog Class Schedule Recommendations WOOT Courses Math Jams AoPS Curriculum Beast Academy Online Books Recommendations Other Books & Gear All Products Gift Certificates Forums Contests Search Help Alcumus Videos For the Win!

$2015$ νομίσματα. Πάνω σε ένα τραπέζι βρίσκονται απλωμένα νομίσματα. Tετραγωνικοί άσσοι. Μαθηματικά δυτικά του Πέκος. Οι Ψεύτες. Γρίφοι - Προβλήματα. Το Κιβώτιο. Ο δάσκαλος. Kangaroo. Le Monde. Ακέραια Μπισκοτάκια. Κλόουν. $θ,2θ,3θ,...,Νθ$ Εξίσωση (10) Η μέρα των Χριστουγέννων και ένα πρόβλημα του μαθηματικού διαγωνισμού Putnam !! Φέτος τα Χριστούγεννα πέφτουν Κυριακή. Πέρυσι ήταν Σάββατο , εν γένει η μέρα των Χριστουγέννων αλλάζει κάθε χρόνο.

Ένα χριστουγεννιάτικο πρόβλημα μερικής απασχόλησης !! Πέντε φίλοι και ο πίθηκος. Δύο αδέλφια. ▪ Πέντε μηδενικά. Προβληματάκι... Γεωμετρία. Ευκλείδεια Γεωμετρία (Α Γενικού Λυκείου - Γενικής Παιδείας): Ηλεκτρονικό Βιβλίο. Euclid's Elements, Introduction. Euclid’s Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development of geometry and other branches of mathematics. It has influenced all branches of science but none so much as mathematics and the exact sciences. The Elements have been studied 24 centuries in many languages starting, of course, in the original Greek, then in Arabic, Latin, and many modern languages. I'm creating this version of Euclid’s Elements for a couple of reasons.

The main one is to rekindle an interest in the Elements, and the web is a great way to do that. ▪ Τρία κλάσματα.