Crafty, Geometry Joys, Math and Computer Science Everywhere, Math Riddles, Murderous Maths, Simon makes gamez, Simon teaching, Simon's sketch book, Together with sis

Fun crafty puzzles Simon did with Neva

Three boxes with fruit, all the three labels are misplaced. What is the minimum number of times one will have to sample a random piece of fruit from one of the boxes to know how to label all the three boxes correctly? From Mind Your Decisions.

Connect A and A’, B and B’, C and C’, D and D’ so that no lines intersect. (Neva added colors).

Dividing 11 coins among three people: “How many ways can you divide 11 coins to 3 people? How many ways are there if each person has to get at least 1 coin?” From Mind Your Decisions.

Solving a simple quadratic equation geometrically: the geometric interpretation of “completing the square”, a notion from deriving the quadratic formula. From Mind Your Decisions.

Which way do the arrows point? (Simon made this drawing in Microsoft Paint):

Crafty, Math Riddles, Math Tricks, Murderous Maths, Simon's sketch book, Together with sis

More Puzzles from Maths Is Fun

In an earlier post, I have mentioned that for many games he programs Simon got his inspiration from the site Maths Is Fun. Perhaps I should add that at our home, Maths Is Fun has become an endless source of fun word problems, too! The problem below has been our favourite this week:

Simon’s equations to solve the problem
Simon has developed a system to show the relation between the actual time a and time m that a mirrored clock would show: m = 12 – a
Another clock puzzle from Maths Is Fun
Simon’s solution
solving this during his evening tea

Some of the puzzles Simon likes to recreate with paper and scissors rather than program:

A version of Connect 4 but this time with the tables of multiplication! Every player is only allowed to move one paper triangle at a time (the triangles indicate which two numbers one can use to get the next product in the table). The one who colours four products in a row wins.
As the game progresses it gets trickier
For the jug puzzle game, Simon has developed a graph plotting the winning strategy (analogous to what he once saw Mathologer do for another game).
Double-sided numbers, sort of a two-dimensional cellular automaton. The objective is to get to a state when all the numbers would be one colour. The rule: if a cell changes its colour, its four neighbours (not diagonal) also change colour. There’re also other versions of this puzzle with more difficult initial conditions.
A number-guessing game based on binary representation. When he was 8 years old, Simon programmed a similar trick in Processing. He also developed the same sort of trick for base 3 numbers.

Simon and Neva have also especially liked the Tricky Puzzles section (puzzles containing jokes).

art, Crafty, Geometry Joys, Math and Computer Science Everywhere, Math Riddles, Murderous Maths, Notes on everyday life, Simon makes gamez, Simon teaching, Simon's sketch book, Together with sis

Math puzzles: Is it Possible?

Simon has been fascinated by these possible-impossible puzzles (that he picked up from the MajorPrep channel) for a couple of days. He prepared many paper visuals so that Dad and I could try solving them. This morning he produced this beautiful piece of design:

Simon showing one of the puzzles to another parent while waiting for Neva during her hockey training
Simon’s original drawing of the doors puzzle. The solution of the puzzle is based on graph theory and the Eulerian trail rule that the number of nodes with an odd degree should be either 0 or 2 to be able to draw a shape without lifting your pencil. The number of rooms with an odd number of doors in the puzzle is 4 (including the space surrounding the rectangle), that’s why it’s impossible to close all the doors by walking though each of them only once.
Simon explaining odd degree nodes
Math Riddles, Murderous Maths, Simon's sketch book

A quiz full of fun tricks

Simon got these from the Scam School channel.

I first only got a strip paper with a sequence of green sticks written on it, separated by comas. Simon did tell me those were pieces of numbers, the way they appear on a calculator screen, and that I was supposed to comolete the sequence. I tried to give this one a shot. To stop the waiting that began to seem eternal he eventually gave me the answer: the green sticks were everything BUT the numbers! Below you see the competed version:

Here, too, one is supposed to continue the sequence of numbers written in a column. You see the pattern?

Here too, come up with the next character:

See the pattern now?

The next one is hilarious! Rearrange the letters below to write ONE WORD:

And in the last puzzle, the nine words used to have something in common, but now it’s just eight of them.

If you get stuck with any of these, leave a plea for help in the comments!

Math Riddles, motor skills, Murderous Maths

Archemedes Puzzle

Simon showing the Archimedes puzzle he made himself to his Russian grandmom. Archimedes had created a colorless version of this puzzle, but Simon decided to add colors and use the Four Color Theorem (stating that any map is possible to color with four or fewer colors without two identical colors being adjacent) to help himself solve this murderously challenging puzzle.