And now this about honeybees, which reinforces an earlier study that showed that honeybees can eventually extrapolate the multiple of a distance that researchers had been using by which they were increasing the distances between the deposits of nectar that honeybees got as a reward for their arriving at the different sites having the nectar. After a few forays for nectar, the honeybees were able mathematically to figure the multiple which they should use in order to find more quickly the next and correct site for securing their reward of nectar. Now, what naivety evolutionists betray in themselves because they assert that such an incredible ability became a honeybee's possession through countless, previous generations which incorporated countless random/purposeless mutations in the genomes of their ancestors so that natural selection finally engineered a genome able to do basic arithmetic. It is sheer foolishness in atheists who can suppose such a thing.
The results of another study show us that bumblebees' brains are programmed with an algorithm that allows them to sort scattered locations of flower patches they had earlier visited, but will now account for newer locations the bees encounter in subsequent foraging flights. The sorting algorithm gives the bees a map of novel routes the bees will then traverse for optimizing their travel times to all locations on subsequent foraging flights, because the flights will include not only the locations of flower patches originally encountered, but will now account for locations of more flower patches not encountered on the maiden foraging excursion because they were subsequently, artificially added by the scientists. Here is how the scientists report their discovery:
"Bees optimized their flight distances by rearranging flower visitation sequences. This resulted in the development of a primary route (trapline) and two or three less frequently used secondary routes. Bees consistently used these routes after overnight breaks while occasionally exploring novel possibilities. We discuss how maintaining some level of route flexibility could allow traplining animals to cope with dynamic routing problems, analogous to the well‐known traveling salesman problem."
This algorithm and additional arithmetical feats are all stored in a brain about the size of a grass seed.