Trimagic 12x12-Squares
 Walter Trump
TXT-list of all mentioned trimagic squares

2002-06-08
 1a
First known trimagic square of order 12
The square was first published in the local newspaper 'Schwabacher Tagblatt'.
2003-03
 1b
Second known trimagic 12x12-square derived from 1a by permutations of rows and columns
Found by Pan Fengchu and Gao Zhiyuan, China
2018-03-01
 1c
Holger Danielsson, Germany, found a pair of 3-equivalent 4-tuples in the square 1b.
This enabled him to obtain the new trimagic squares 1c.
2018-01-28
 2
A present for the 60th anniversary of LEGO, with 60 ... 28 1 19 58 in the first row.
Additionally several aspects of the square have bimagic semi diagonals.
2018-02-05
 3a-d
Existence of non-symmetric trimagic squares of order 12
Certain axially symmetric squares can be transformed into squares which are not symmetric.
2018-02-06
 4a-c
Nearly equal trimagic squares of order 12
There are essentially different trimagic squares where only 8 digits are different.
2018-02-10
 5a-c
From a semi-trimagic square of order 12 with 3 pairs of possible diagonals
we can derive three essentially different trimagic squares.
2018-02-18
 6a-d
From a semi-trimagic square of order 12 with two specially arranged pairs of possible diagonals
we can obtain two axially symmetric and two non-symmetric trimagic squares.
2018-02-20
 6a'-b'
Square 6 can be transformed in square 6' which has two trimagic broken diagonals.
This is the only found pair of trimagic squares where the distance of parallel diagonals is even.
2018-02-20
 7a-b
Another trimagic square with two trimagic broken diagonals (distance 5).
These squares have 28 trimagic lines. We couldn't find more until now.
2018-03-05
 8a-b
The trimagic square 8a has a pair of 3-equivalent 4-tuples with 4 diagonal entries.
In this case the remaining 8-tuples can be interchanged.
2018-03-08
 9a-h
The trimagic square 9a has three pairs of 3-equivalent 4-tuples.
All in all we can derive 8 essentially different squares by certain transformations.

Walter Trump, Nürnberg, Germany, ms(at)trump.de, © 2018-01-28 (last modified: 2018-03-08)