Only with a pencil, ruler and protractor, without the help of a computer, Venezuelan artist Rafael Araujo creates complex fields of three dimensional space where butterflies come to life and shells rise from mathematical spirals.

A model gets ready backstage during the Tbilisi Fashion Week in Tbilisi, Georgia, on October 27, 2017. The presentation of the Spring/Summer 2018 collections runs from 27 to 30 October. (Photo by David Mdzinarishvili/Reuters)

A model presents a creation for a make-up styling show by Mao Geping at China Fashion Week in Beijing, China March 26, 2018. (Photo by Jason Lee/Reuters)

A reveller from Unidos da Tijuca samba school performs during the first night of the Carnival parade at the Sambadrome in Rio de Janeiro, Brazil on March 4, 2019. (Photo by Pilar Olivares/Reuters)

A crocodile at a zoo in the southern Taiwan city of Kaohsiung holds the forearm of a zoo veterinarian in its teeth, April 2007. Surgeons in Taiwan have reattached a vet's arm, after it was bitten off by a crocodile as he tried to give it an anaesthetic injection. His attacker is one of a pair of Nile crocodiles kept at Shoushan zoo. Nile crocodiles are known to be man-eaters, but are also listed as an endangered species. (Photo by Frank Lin/Reuters)

Anilson Costa, reveller of the annual block party “Ceu na Terra”, walks along the Santa Teresa neighborhood where the block party used to be celebrated, as Carnival celebrations have been canceled, amid the coronavirus disease (COVID-19) pandemic, in Rio de Janeiro, Brazil on February 12, 2021. (Photo by Pilar Olivares/Reuters)

A cheerleaders team member wearing a pseudo anti-coronavirus face mask performs during the St. Petersburg Open ATP tennis tournament match in St.Petersburg, Russia, Wednesday, October 27, 2021. (Photo by Dmitry Lovetsky/AP Photo)

Second Place Winner: “Thunderstorm at False Kiva”. I hiked out to these ruins at night hoping to photograph them with the Milky Way, but instead a thunderstorm rolled through, creating this dramatic image. – Max Seigal. National Geographic Traveler Director of Photography Dan Westergren, one of this year's judges, shares his thoughts on the second place winner: “This photo combines two different scenes into one: the small kiva in a cliff dwelling and the grand vista of Canyonlands National Park across the valley. I really like the two different color palettes – warm inside and purple outside. This two-for-one scene was caused by the lightning storm outside the dwelling, which lit up the landscape like it was a huge electronic flash. Looking at this picture I can imagine what a wonderful sight it must have been for the ancient people who lived here. It doesn't seem too amazing now in our modern world, but might have been mind-blowing for the prehistoric residents”. Location: Utah. (Photo and caption by Max Seigal/National Geographic Traveler Photo Contest)