Frog Logic

If you think that most of the original puzzles types are published in magazines or on blogs like this one, you may be wrong. In my experience, I discover most new puzzle types in apps.

Recently my wife asked me for assistance in solving a level of Frog Logic. It was a pretty tough level to jump into, and it took a couple of weeks before I decided to install it myself.

Let me post a screenshot of a level:

The object is to clear all leaves. The frog jumps from leave to leave, sinking the leaf it departs from. It may jump only horizontally and vertically, not diagonally. It may jump straight ahead, or turn 90 degrees, but it may not turn 180 degrees. The puzzle is finished if all leaves have been visited.

I can wholeheartedly recommend this app: tough puzzles, built up gradually, simple rules, original puzzle type, and not too many adds.

You can check your solutions here

Aspect	Score (1=least – 5=best)	Remarks
Rules of puzzle type clear	5	Original puzzle type
Toughness	4	Good challenges, gradually becoming tougher.
Price / adds	5	Free, and not too many adds
Number of puzzles	?	Not sure how many puzzles there are

I hope to review more puzzle apps in the future.

Geometry – or is it?

1) Three squares^**/*****



On twitter I found the account of a very kind and smart lady called Catriona Shearer, who poses a lot of very nice and original math problems. One problem is reproduced here with her permission. In the figure above, the sides of the three squares are three consecutive integers. The length of the black line is 4√10.
What’s the total area?

You can check your solution here

2) Four squares^***/*****
The puzzle above inspired me to the following puzzle:

The length of the sides of the three smaller squares are all natural numbers – integers if you prefer that term. The length of the side of the big square is 6√10.
What is the size of the three small rectangles?

New puzzles are published at least twice a month on Fridays. Solutions are published after one or more weeks. You are welcome to remark on the difficulty level of the puzzles, discuss alternate solutions, and so on. Puzzles are rated on a scale of 1 to 5 stars.

You can check your solution here

Pattern squares

1) Pattern code^**/*****

You can check your solution here

New puzzles are published at least twice a month on Fridays. If you like this puzzle, do buy my book brimming with these puzzles!

Add a nine to the end of the number

1) Adding a nine^***/*****
2² = 4. Writing a 9 after it, I get 49 which is 7²
4² = 16. Writing a 9 after it, I get 169 which is 13²
What is the next square number, which, when adding a 9 after the number, is a square?

You can check your solution here

New puzzles are published at least twice a month on Fridays. Solutions are published after one or more weeks. You are welcome to remark on the difficulty level of the puzzles, discuss alternate solutions, and so on. Puzzles are rated on a scale of 1 to 5 stars.

Resolf

Resolf puzzles consist of four triangles, with three numbers at the corners of each triangle and the sum of the three numbers in the center.

I first encountered them in a publication by Sanders Puzzles.

An example of a solved resolf looks like this:

Nr 1^*/*****
Use the numbers listed below the triangle to make the sums

Sanders puzzles regularly also uses multiplcation:
Nr 2^**/*****

And one can extend this machanism to all 40 basic arithmetic operations:
Nr 3^***/*****

You can check your solution here

New puzzles are published at least twice a month on Fridays.