Monthly Archives: July 2022

Cryptarithm lunch


In the following addition,
BACON
BACON
BACON
BACON
—–+
LUNCH

Replace every letter with a digit to get a correct addition.
The same letter always represents the same digit and no digit is represented by 2 or more letters.

New puzzles are published at least once 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.

Bongard puzzle tanach / bible (2)


This Bongard puzzle is about donkeys. What is the difference of the texts on the left and those on the right?

If you don’t have a bible, you can check them out at at biblestudies.com.

1) Donkey / ass**/*****

Any one of the following translations are OK:
* King James Version
* New International Version
* New Revised Standard Version
I could have written them out, but I don’t want to run into copyright problems. And in tis format you can easily copy them into the weekly newsletter of your synagogue, church or sunday school.

What makes a Bongard puzzle a Bongard puzzle?
If you are used to Bongard puzzles, you may miss the 2 x 6 familiar boxes, and wonder what exactly makes a Bongard puzzle a Bongard puzzle.
In its original format, a Bongard puzzles consisst of 2 groups of 6 drawings. There is a secret rule which differentiates the two groups. Each of the drawings in one group obeys thes secret rule, while each of the items in the other group contradicts the=is rule.

The essence to me is not in the boxes. In the puzzle above I have grouped 12 texts in two rectangles with each 6 textxs. That still leaves 12 items to compare.
Are the numbers 6 and 12 essential? My answer is: No, thje system would function as well with two groups of 7 items, of with a group of 5 and a group of 8 items.
My definition of a Bongard puzzle would be:
a) There are 2 groups of items
b) Each of the items in one of the groups is an example of a secret rule.
c) Each of the items in the other group contradicts this rule.

What happens if we increase the number of groups from 2 to 3?
For example:

I would like to coin the term: ‘Bongard-like puzzle’ for these puzzles. There are clearly some Bongard puzzle features. There are secret rules for each of the three groups of numbers. The groups are mutually exclusive, just as the two groups in a Bongard pouzzle are mutually exclusive. So each of the members of the other group can be considered counter examples to the rule of the first group.

But it does depend on definition.