Logarithmic Spirals

Mathematical Marvels of Foraminifera

Abstract Foraminifera are a family of marine unicellular eukaryotes whose fossils can be found throughout the world, from the deepest crevices of the ocean to the highest peaks of the Egyptian Pyramids. In this paper, we explore the mathematical models describing the optimization of common adaptations in foraminifera. Beginning with

Read More »

An Evolutionary Analysis of the Chemical Composition of Marine Suction Cups

Abstract Suction cups are important adaptations for aquatic animals, allowing for predation, locomotion, stability, and other species-specific functions. The chemical structure of each suction cup is designed by nature to be as energetically efficient as possible in performing the suction cup’s species-specific purpose, giving the suction cup chemical properties that…

Read More »

A Mathematical Analysis of Animal Horns

The following essay examines the application of mathematics to biological structures, in particular animal horns. It begins by exploring the evolutionary reasons for ornamental appendages among horned animals.  Mathematical computations reveal a relationship between ornament size and “honest advertisement” due to a high cost of having such large appendages. Furthermore,…

Read More »

Exploration of Mathematical Laws Governing Claws and their Applications within Flying Animals, Terrestrial Pests, and Amniotes

Claws are one of the most widely utilized tools within organisms, and for a good reason: their purposeful constructions, described by mathematical laws and correlations, allow a wide range of use. This research paper investigates these fascinating mathematical relationships, beginning with the connection between claw growth and logarithmic functions. Applying…

Read More »