Since the rules of the simplified version are explicitly explained in section 2.0, knowledge of the rules for real Tænkeboks is not really necessary in order to understand the simplified version. They are included in case you have a desire to play real Tænkeboks.
A player performs a bid by guessing on how many dice out of the 4·n dice she thinks show the same eyes. A bid can e.g. be 4·3 which means at least 4 dice have to show 3. It is also allowed to simply bid 4·equal which means that there have to be 4 dice which show the same eyes. It could be 1,2,3,4,5, or 6.
The order of the bids is as follows:
In Tænkeboks all 1's are regarded as jokers, that is a joker can be regarded as possesing any of the eyes 2,3,4,5, or 6. If a player after rolling all her t dice obtains the configuration 1,2,3,...,t the player gets t+1 jokers.
A bid is called present if there are at least that many dice showing equal eyes as announced in the bid.
The loser from last round begins the next round and all players except the loser put one of their dice aside. The loser of the game is the player who is the last one to have dice left. Hereby Tænkeboks doesn't determine any winners - only one loser!